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February 2 of 2024
Given the table below, determine whether y is a function of x and if the function is one-to-one. Select the correct answer below: y is not a function of x. y is a function of x, and the function is one-to-one. y is a function of x, but the function is not one-to-one. Given the table…
Consider the following: θ = 40°, d = 12m (a) Find the length of the arc that subtends the given central angle θ on a circle of diameter d. (Round your answer to two decimal places.) (b) Find the area A of the sector determined by θ. (Round your answer to two decimal places.) A = Consider the…
The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s) Question Help: Video 32 The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s) Question Help:Video Submit Question
The angle heta is an acute angle and sin heta =(3)/(10). Use the Pythagorean identity sin^(2) heta +cos^(2) heta =1 to find cos heta . 3 K< The angle is an acute angle and sin = Use the Pythagorean identity sin + cos =1 to find cos . 10
Convert the angle in radians to degrees. -(5pi )/(4) Convert the angle in radians to degrees 5T 4
Sketch the graph of r=5cos(4 heta ). Sketch the graph of r = 5cos(40)
For the given function, find all asymptotes and the coordinates of any holes in its graph. f(x)=(x+1)/(x^(2)-1) below and, if necessary, fill in the answer box to complete your choice. A. The equation of the horizontal asymptote is y=0. (Use integers or fractions for any numbers in the…
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. cos(B)=(4)/(5),a=26 b= c= Find the lengths of the missing sides if side a is opposite angle A,side b is opposite angle B, and side c is the hypotenuse. a=26
Question Write sec(115deg ) in terms of the secant of a positive acute angle. Do not include the degree symbol in your answer. Question Write sec(115) in terms of the secant of a positive acute angle.Do not include the degree symbol in your answer
Convert the equation, x^(2)+y^(2)=16, from rectangular coordinates into polar coordinates. Solve for r. r( heta )= Convert the equation+y=16, from rectangular coordinates into polar coordinates.Solve for r. T(O)
A parallelogram has sides of lengths 5 and 9 , and one angle is 41deg . What is the length of the smaller diagonal? length =, units What is the length of the longer diagonal? length =, units A parallelogram has sides of lengths 5and 9,and one angle is 41 What is the length of the smaller…
Find the area A of the sector of a circle of radius 20 feet formed by the central angle (1)/(2) radian. A = (1/2) * r^2 * θ A = (1/2) * 20^2 * (1/2) = 100π A = 100π square feet
Question: On the graph of f(x) = cos(x) and the interval [-2Ï€, 0), for what value of x does f(x) achieve a maximum? Choose the point in the figure. Provide your answer below:
Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation. x+6y=-23 -6x+3y=21 Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation < +6y=-23 -6x+3y=21
Find the solutions to the equation in the interval 0 <= θ <= π/2. Enter your answers as a comma-separated list. 2cos(4θ) - 1 = 0 θ = Find the solutions to the equation in the interval 0 <= θ <= π/2. Enter your answers as a comma-separated list. 2cos(40) = 10
Use a double-angle formula to find the exact value of the given expression. 2cos^(2)15deg -1 Use a double-angle formula to find the exact value of the given expression 2cos215-1
Find the coordinates of the point on the unit circle corresponding to t = 4.254. Round your responses to 3 decimal digits. x = y = Tries 0/15
The angle between 0 and 2pi in radians that is coterminal with the angle -(95pi )/(12) radians is The angle between 0 and 2T in radians that is coterminal 95TT with the angle radians is 12 Submit Question
Solve using Cramer's rule. 8x+18y=-1 16x-6y=5 Solve using Cramer's rule. 8x+18y=1 16x6y5
For each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis, and the origin. Check all symmetries that apply. (a) xy^(2)+6=0 (b) 10x^(2)+24y^(2)=44 Symmetry: Symmetry: x-axis x-axis y-axis y-axis origin origin none of the above none of the…
Find a cofunction with the same value as the given expression. tan(2π)/(7) The answer is Find a cofunction with the same value as the given expression. 2π tanθ The answer is
Use the graph to answer the question. What is the maximum value for the function on the interval -2,3? |[-1],[*2],[3],[4]| Score Use the graph to answer the question. What is the maximum value for the function on the interval [-2,3]? Score 0 10 atv
This is similar to Try It #3 in the OpenStax text. Solve: 6x-10<20. Enter the exact answer in interval notation. To enter infty , type infinity. To enter cup , type U. This is similar to Try It #3 in the OpenStax text. Solve: 6x - 10 < 20. Enter the exact answer in interval notation. To enter…
Question 4 Let f(x) = (3x^2 + 20x + 25) / (3x^2 - 5x - 2) This function has: A y-intercept at the point x-intercepts at the point(s) Vertical asymptotes at x =
Find two real numbers between -2pi and 2pi that determine each of the points on the unit circle given to the right. The two real numbers that determine M are ? (Simplify your answer. Type exact answers, using pi as needed. Use integers or fractions for any numbers in the expression. Use a…
Find the inverse of the function with a and b representing positive real numbers. f(x)=ax^(3)+b f^(-1)(x)= Find the inverse of the function with a and b representing positive real numbers f(x)=ax3+b f-1(x)= on domain(-)
The point P=(-8,-3) on the circle x^(2)+y^(2)=r^(2) is also on the terminal side of an angle heta in standard position. Find sin heta ,cos heta ,tan heta ,csc heta ,sec heta , and cot heta . sin heta = cos heta = tan heta = csc heta = sec heta = cot heta = K< The point P=-8-3on the circle +y=…
Estimating a limit graphically. Activate Use a graph to estimate the limit lim_( heta ->0)(sin(6 heta ))/( heta ) Note: heta is measured in radians. All angles will be in radians in this class unless otherwise specified. lim_( heta ->0)(sin(6 heta ))/( heta )= 2. Estimating a limit…
Find all solutions of the equation 2cos(x) - 1 = 0. The answers are A and B, where A. Find all solutions of the equation 2cos(x) - 1 = 0. The answers are A and B, where A and B.
#01. Express as a polynomial. (a) 12x^3 + 9x^2 - 13x + 1 (b) x^3 + 2x^2 + 3x + 5 (c) 6x^2 - 19x - 35 (d) 15x^2 + 26xy + 8y^2 (e) 4x^2 - 23xy + 15y^2 (f) 2u^2 - 5u - 12 (g) 6x^3 + 37x^2 - 10x - 25 (h) x^4 - 2x^3 + 3x^2 + 4x - 24 (i) 3t^4 + 5t^3 - 7t^2 - 3t + 10 (j) 2x^6 + 10x^4 + x^3 + 5x (k)…
Use reference angles to find the exact value of the following expression. Do not use a calculator. tan780deg Determine the reference angle for 780deg . The reference angle is Use reference angles to find the exact value of the following expression. Do not use a calculator tan 780o Determine…
( 3 pts) Find the quotient and remainder using long division for: (x^(3)+3x^(2)+8x+15)/(x+2) Write the final answer as quotient +( remainder )/( divisor ) x3+3x2+8x+15 10. (3 pts) Find the quotient and remainder using long division for: x+2 divisor
A bottle of sun tea initially has a temperature of 78deg F. It is left to cool in a refrigerator that has a temperature of 35deg F. After 10 minutes the temperature of the sun tea is 62deg F. Complete parts a through c. a. Use Newton's Law of Cooling, T=C+(T_(0)-C)e^(kt), to find a model for…
When converting a vector to component form, the expression Ay = A * sin(theta) allows for calculation of the y-component of the vector.
Determine the value of the trigonometric function of s using the given information. sin5=(24)/(25),cos5=(7)/(25), Find sec5 -(7)/(25) -(7)/(24) (24)/(7) (25)/(7) Determine the value of the trigonometric function of s using the given information. 24 sin sm Find sec s @
Solve the right triangle ABC, with C=90deg . A=36.5deg ,b=32.4cm B=, (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) a~~_(c)m (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) c~~cm (Simplify your answer. Type…
What is cos( heta )?I'mOK What is cos(0)? 2 90 0 3.4 4 ?
A group of students plans a tour. The charge per student is $72 if 14 students go on the trip. If more than 14 students participate, the charge per student is reduced by $2 times the number of students over 14. Find the number of students that will furnish the maximum revenue. What is the…
Let f(x) = (3x^2 + 11x - 20) / (2x^2 - 9x + 9) This function has: 1. Y-intercept at the point 2. X-intercepts at the point(s) 3. Vertical asymptotes at x = 4. Horizontal asymptote at y = 321120 Let f = 2299 This function has: 1. Y-intercept at the point 2. X-intercepts at the point(s) 3.…
A function value and a quadrant are given. Find the other five function values. Give exact answers. sinθ = 1/3, Quadrant I cosθ = -tanθ = A function value and a quadrant are given. Find the other five function values. Give exact answers. 1. sinθ = 0, Quadrant I 2. cosθ = 3. tanθ = 4. Tvnoa
Find two positive angles and two negative angles that are coterminal with the given angle and less than 1080deg but greater than -720deg . 145.5deg The coterminal angles are (Use a comma to separate answers as needed. Do not include the degree symbol in your answer.) 145.5o The coterminal…
Score: (5.6)/(7), (5)/(7) answered Progress saved Question 5 (0)/(1) pt 5 A population of bacteria is growing according to the equation P(t) = 900e^(0.07t). Estimate when the population will exceed 1208. t = Give your answer accurate to one decimal place. Question Help: ◻ Video 1 ◻ Video…
Draw the angle in standard position. State the quadrant in which the angle lies. -150deg 150 Draw the angle in standard position.State the quadrant in which the angle lies.
Solve the quadratic equation by factoring. Check your solutions in the original equation. (Enter your answers as a comma-separated list.) x^2 - 10x + 9 = 0 x = Need Help? Solve the quadratic equation by factoring. Check your solutions in the original equation. (Enter your answers as a…
Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=sinx+7 Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=sinx+7
The following reasons might explain why the equation for the length just obtained using components is the same as the answer obtained using geometry (Equation 1 above). c and θ are supplementary angles, that is, θ + c = π. The cosine function satisfies cos(α) = -cos(π - α). Cosine is an even…
The point given below is on the terminal side of an angle heta . Find the exact value of each of the six trigonometric functions of heta (-10,24) The point given below is on the terminal side of an angle 0. Find the exact value of each of the six trigonometric functions of (-10.24)
Given sin heta =1. Find cos(2 heta ). Answel
Use reference angles to find the exact value of the following expression. D tan750deg Use reference angles to find the exact value of the following expression. Dc tan750
Let f( heta )=(cos(5 heta ))/( heta ), find lim_( heta ->0)f( heta ). able[[x,-0.1,-0.01,-0.001,0.001,0.01,0.1],[f( heta ),-8.7758256,,,,,8.7758256]] 26) Let f(0) =cos (50) ,find lim f(0). 0 0-0 -0.1 -0.01 -0.001 0.001 0.01 0.1 f(0)|8.7758256 8.7758256
Find an equation for the line that passes through the points (-4,-4) and (6,2). Find an equation for the line that passes through the points (-4, --4) and (6, 2) E : 5
The graph shows a unit circle with point P at ((40)/(41),(9)/(41)). Enter the exact values, or DNE if the value is undefined. Sine of ∠xOP = Cosine of ∠xOP = Tangent of ∠xOP = 40 9 The graph shows a unit circle with point P at 41 41 P X Enter the exact values, or DNE if the value is…
Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation. y=-(1)/(8)x Select the correct choice below and fill in any answer boxes within your choice. A. The slope is (Simplify your answer.) B. The slope is undefined. Select the correct choice…
Convert the equation, 8r=cos( heta ), from polar coordinates into rectangular coordinates. Hint: Enter an equation of x and y for a circle. Convert the equation, 8r = cos(), from polar coordinates into rectangular coordinates. Hint: Enter an equation of c and y for a circle.
Draw a complete graph so that it has y-axis symmetry. Draw a complete graph so that it has y-axis symmetry (0,3) 1(1,2) (2,
Use reference angles to find the exact value of the following cot(-(pi )/(6)) Select the correct choice below and, if necessary, fill in the A. cot(-(pi )/(6))= (Simplify your answer. Type an exact answer, using numbers in the expression. Rationalize the denomin Use reference angles to find the…
Find a positive angle less than 2pi that is coterminal with the given angle. (13pi )/(4) A positive angle less than 2pi that is coterminal with (13pi )/(4) is (Simplify your answer. Type your answer in terms of pi Use integers or fractions Find a positive angle less than 2 that is coterminal…
Problem 5. Find the domain of each function using the interval notation. (a) f(x)=(sqrt(x-4))/(sqrt(x-6)) (b) f(x)=(x^(2)-9x)/(x^(2)-81) Problem 5. Find the domain of each function using the interval notation (a) f(x) =Vx-4 Vx-6 (b)f= 2-81
Solve for x: 2^(x) = 29 x = You may enter the exact value or round to 4 decimal places. Solve for: 2 = 29 You may enter the exact value or round to 4 decimal places.
Solve the following system of equations using Cramer's Rule. -3x - 3y + z = 6 -3x + 4y + z = -5 2x + 2y + z = 5 Solve the following system of equations using Cramer's Rule. -3x - 3y + z = 6 -3x + 4y + z = 5 2x + 2y + z = 5
A 27 - ft boat ramp makes a 9deg angle with the water. What is the height of the ramp above the water at the ramp's highest point? Round to 1 decimal place. The height of the ramp above the water is approximately ft . A 27-ft boat ramp makes a 9 angle with the water. What is the height of the…
The manager at a concert venue keeps track of the number of adult uutickets and student tickets sold each day and the total money received. On Wednesday, a total of 74 tickets were sold, and the money collected was $994. Suppose adult tickets are sold for $15 and student tickets are sold for…
What is the reference angle for (3pi )/(5) ? Answer must be in radians. 3TT What is the reference angle for 2 5 Answer must be in radians
Find the complement and the supplement of the given angle. (pi )/(20) Find the complement and the supplement of the given angle 20
Given sec heta =11, use trigonometric identities to find the exact value of the following expressions. (a) cos heta (b) tan^(2) heta (c) csc(90deg - heta ) (d) csc^(2) heta Given sec =11,use trigonometric identities to find the exact value of the following expressions K< (a)cose (b)…
lim_( heta ->0)(sin(8 heta ))/( heta ) Note: heta is measured in radians. All angles will be in radians in this class unless otherwise specified. lim_( heta ->0)(sin(8 heta ))/( heta )= Use a graph to estimate the limit sin(80) lim 90 Note: is measured in radians. All angles will be in…
How many discontinuities does the following piecewise function have? f(x)={(3e^(x+3)+1,x<-3),((2)/(3)x^(2)-1,-3=5):} three two one zero Score How many discontinuities does the following piecewise function have? 3e*+3+1, x<-3 fx= 13 29 x+ 2 [1og(2x-4), x5 three two one zero Score 0
Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a. Suppose f(x)=5x^(5)+17x^(2)+14x-6. Determine the leading term of f. b. Suppose g(x)=10x^(3)-13x^(4)+x-12. Determine the leading term of g. c. Suppose…
Why does the arc of length (pi )/(6) on the unit circle correspond to the point ((sqrt(3))/(2),(1)/(2)) on the unit circle? TT Why does the arc of length on the unit circle correspond to 6 V3 1 the point on the unit circle? 2
Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number, t, or state that the expression is undefined. sin(5π)/(3) Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number…
Find the reference angle for the angle 99deg . The angle is Find the reference angle for the angle 99 The angle is
Simplify the following expression for the given value of x. Assume the angle heta is acute. sqrt(x^(2)-16) if x=-4csc heta For x=-4csc heta ,sqrt(x^(2)-16)= (Type an exact answer in simplified form.) Simplify the following expression for the given value of x. Assume the angle O is acute 2-16…
Solve using Cramer's Rule. 8x-y=9 x-8y=2 Solve using Cramer's Rule 8x-y=9 x-8y=2
Using the half-angle formula, what is cos(-(pi )/(12))? Using the half-angle formula, what is cos-?
Suppose we are given the following. Line 1 passes through (0,4) and (-3,8). Line 2 passes through (-4,-2) and (4,4). Line 3 passes through (4,1) and (8,4). (a) Find the slope of each line. Slope of Line 1= Slope of Line 2= Slope of Line 3= (b) For each pair of lines, determine whether they are…
Question If cot( heta )>0, then in which quadrants could heta lie? Select all correct answers. Question If cot>0then in which quadrants could lie?Select all correct answers.
Question 16 (0)/(10) pts Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f about the x-axis and if it is horizontally stretched by a factor of 8 when compared to the graph of f. g(x)=Af(Bx)+C where A= B= C= Question 16 0/10pts Describe a…
The equation of the hyperbola that has a center at (9,5), a focus at (14,5), and a vertex at (5,5), is ((x-C)^(2))/(A^(2))-((y-D)^(2))/(B^(2))=1 where A= B= C= D= The equation of the hyperbola that has a center at (9, 5), a focus at (14,5), and a vertex at (5,5), is x-Cy-D 1 A2 B2 where A = B…
Find a positive angle less than 2pi that is coterminal with the given angle. -(26pi )/(5) A positive angle less than 2pi that is coterminal with -(26pi )/(5) is (Simplify your answer. Type your answer in terms of pi . Use integers or fractions for any numbers in the expression.) Find a…
Use a reference angle to find the exact value of the following expression. Do not use a calculator. sin(120deg ) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin(120deg )= (Simplify your answer, including any radicals. Use integers or…
Let heta be an angle such that cos heta =(7)/(8) and tan heta <0. Find the exact values of cot heta and csc heta . 7 Let 0 be an angle such that cos 0 = and tan0<0 8 Find the exact values of cot 0 and csc 0.
Precalculus Program | Dept. Precalculus Program | Dept. date_homework.html Precalculus Program... Return to the Objective MATH 117, Unit 1, Objective 1, Section 1 Section 2 Section 3 Write a linear equation for the following table. able[[x= time, y=…
Use reference angles to find the exact value of the following expression. tan(240°) Select the correct choice below and, if necessary, fill in the answer box to complete your: A. tan(240°) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers) B. The answer is…
Use the graph of the polynomial to solve the inequality P(x)>0. The solution set for P(x)>0 is (Type your answer in interval notation.) Use the graph of the polynomial to solve the inequality P(x)>O The solution set for P(x)>O is (Type your answer in interval notation. Q
QUESTION 8 - 1 POINT What is the area of the triangle bounded by the x-axis, the y-axis, and the line y=-3x+12 ? Provide your answer below: A= Content attribution QUESTION81POINT What is the area of the triangle bounded by the -axis, the y-axis, and the line y = --3. + 12? Provide your answer…
Rate of the jet in still air: 450 (mi)/(h) Rate of the jetstream: 50 (mi)/(h)
For the following exercise, given the function f, evaluate f(-3),f(-2),f(-1), and f(0). f(x)={(-3x^(2)+4 for x<-2):} 5x-6 for x>=-2 f(-3)= f(-2)= f(-1)= f(0)= For the following exercise, given the function f, evaluate f (-3), f (--2), f (-1), and f (0) -3x2+4forx<-2 15-6 for x -2 f(x)= f (-3)=…
The terminal point (-9/41, -40/41) lies on the unit circle and is determined by a real number t. Find the trigonometric function values for t. Enter integers or reduced fractions for your responses. sin(t) = cos(t) = tan(t) = csc(t) = sec(t) = cot(t) = The terminal point (4, -41) lies on the…
Why does the arc of length on the unit circle correspond to the point on the unit circle? Why does the arc of length on the unit circle correspond to the point on the unit circle?
The point given below is on the terminal side of an angle heta . Find the exact value of each of the six trigonometric functions of heta . (-24,10) 010.71 Points:0of1 The point given below is on the terminal side of an angle 0.Find the exact value of each of the six trigonometric functions of…
sin^(2)θ + cos^(2)θ = 1
Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=5sin((1)/(4)x) Determine the amplitude, period, and phase shift (if any) of the given function Graph the function y=5sin (2x)
Determine the value of the trigonometric function of s using the given information. sins=(15)/(17),coss=-(8)/(17), Find cscs Determine the value of the trigonometric function of s using the given information. sins Find csc.s. 17
Does the graph cross, or touch but not cross the x-axis at the x-intercept -2? The graph crosses the x-axis. The graph touches but does not cross the x-axis. Does the graph cross, or touch but not cross the x-axis at the x-intercept -6? The graph touches but does not cross the x-axis. The graph…
(a) 670° positive angles: 40°, 400° negative angles: -310°, -660° (b) ( frac{5pi}{6} ) positive angles negative angles (c) ( -frac{pi}{5} ) positive angles negative angles
n 1: Find the exact values of the other five trigonometric functions of t by using the given information. a. cos(t)=-(7)/(25), such that the terminal side of t lies in Quadrant II. n 1: Find the exact values of the other five trigonometric functions of t by using the given information. 7…
Evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. sec π Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value of sec π is B. sec π is undefined. Evaluate the following…
Find the reference angle for the angle (25pi )/(6). The reference angle is (Type your answer in radians. Type an integer or a simplified fr 25Tt Find the reference angle for the angle 6 The reference angle is (Type your answer in radians Type an integer or a simplified fr
Find the exact value of each of the remaining trigonometric functions of θ. sinθ = 9/41, θ in Quadrant II cosθ = (Simplify your answer. Type an exact answer, using radicals as needed. Use tanθ = (Simplify your answer. Type an exact answer, using radicals as needed. Use cscθ = (Simplify your…
Sketch heta =-(11pi )/(4) in standard position. 11 in standard position 4 Sketch 0= X Drag to show the angle
Solve the equation in the interval 0,pi . Hint: Use a double angle identity first. Enter your answers as a comma-separated list. sin(2x)-cos(x)=0 x= Solve the equation in the interval [0,Tr].Hint: Use a double angle identity first. Enter your answers as a comma-separated list. sin(2x)-cos(x)=0
and cott if P=(−√3/2,−1/2) is the point on the unit circle that corresponds to the real number t.
Establish the identity 1+z+z^(2)+cdots+z^(n)=(1-z^(n+1))/(1-z),(z)!=(1) 9. Establish the identity 1- zn+1 1+z+z2+...+z= 1-z (z 1)
Find the exact value of the expression. Do not use a calculator. csc81deg sec9deg -tan9deg cot81deg Find the exact value of the expression.Do not use a calculator csc81sec9-tan9cot81
Solve the right triangle. B=deg , ' (Round to the nearest integer as needed.) a=-m (Round to the nearest integer as needed.) b=-m (Round to the nearest integer as needed.) Solve the right triangle B 969 m 42025 b B= (Round to the nearest integer as needed.) m (Round to the nearest integer as…
Convert the radian measure to degrees. -(pi )/(9) -(pi )/(9) radians = Convert the radian measure to degrees T radians
Question Given that cos( heta )=(3sqrt(10))/(10), and heta is in Quadrant IV, what is sin( heta ) ? Question 3v10 and 0is in Quadrant IV, what is sin(0) Given that cos()
Use the unit circle to find the value of cos(7pi )/(6) and even or odd trigonometric functions to find the value of cos(-(7pi )/(6)). Select the correct choice below and fill in any answer boxes within your choice. A. cos(7pi )/(6)= (Type an exact answer, using radicals as needed. Simplify your…
Question Use a reference angle to write sec145deg in terms of the secant of a positive acute angl Question Use a reference angle to write sec 145 in terms of the secant of a positive acute ang
Graph the given system of inequalities. 2x+y>=-8 4x+2y<=0 Use the graphing tool to graph the system. Graph the given system of inequalities 2x+y-8 4x+2y0 Use the graphing tool to graph the system Click to enlarge graph
Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 4. SPRECALC7 1.10.036. Find an equation of…
Use the Laws of logarithms to rewrite the expression log((x^(10)y^(19))/(z^(4))) in a form with no logarithm of a product, quotient or power. After rewriting we have log((x^(10)y^(19))/(z^(4))) = Alog(x) + Blog(y) + Clog(z) with A = B = and C = Use the Laws of logarithms to rewrite the…
f(x)={(-(2)/(3)x-8 if x<=1),((1)/(4)x-6 if x>1):}
cos heta =-(3)/(5), heta in Quadrant III sin heta = 1 cos0= 315 O in Quadrant III sin0=
Consider the following: θ = 70°, d = 18m (a) Find the length of the arc that subtends the given central angle θ on a circle of diameter d. (Round your answer to two decimal places.) m (b) Find the area A of the sector determined by θ. (Round your answer to two decimal places.) A = × m^2 Need…
Give an expression that generates all angles coterminal with the given angle. -480deg The correct expression is -480deg +,. (Type an equation using n as the variable.) Give an expression that generates all angles coterminal with the given angle The correct expression is 480+. (Type an equation…
Find the reference angle heta ^(') in degrees. heta ^(')=, heta =-245deg Find the reference angle oin degrees 0245
Complete the sentence: A earthquake of magnitude 5 on the Richter scale .... displaces the ground by 5 millimeters at 10 kilometers distance is the same as a magnitude 5 on the Modified Mercalli Scale. displaces the ground by 5 millimeters at 1 kilometer distance releases 40 times the amount of…
Test the equation for symmetry. (Select all that apply.) x=7y^(4)-9y^(2) The graph is symmetric with respect to the x-axis. The graph is symmetric with respect to the y-axis. The graph is symmetric with respect to the origin. Test the eguation for symmetry.(Select all that apply. x=7y4-9y2 The…
Find a cofunction with the same value as the given expression. cos((pi )/(4)) Find a cofunction with the same value as the given expression coS
Suppose that a computer that originally sold for x dollars has been discounted 66%. Which one of the following expressions does not represent its sale price? Choose the correct answer below. A. x-0.66x B. (17)/(50)x C. x-0.66 D. 0.34x OD.0.34x 990x OB.50 OA.1x-0.66x Choose the correct answer…
Find the fifth term and the nth term of the geometric sequence whose initial term a_(1) and common ratio r are given. a_(1)=1;r=-(1)/(6) Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given 1 a1=1;r= 6
Which one or more of the following cannot be a correct equation to solve a geometry problem, if x represents the length of a rectangle? (Hint: Solve each equation and consider the solution.) Select all that apply. A. 2x+2(x-1)=10 B. 5(x+4)+5x=20 C. 4x+4(x-3)=36 D. -3x+9(5-x)=56 the…
Score: 5/7 5/7 answered Question 4 Let f(x) = (3x^2 + 11x - 20)/(3x^2 - 17x + 10) This function has: A y-intercept at the point x-intercepts at the point(s) Vertical asymptotes at x=
A circle has the equation x^2 + y^2 + 2x - 4y - 20 = 0. (a) Find the center (h, k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (Type an ordered pair, using integers or decimals.)
Let heta be an angle such that sin heta =(5)/(6) and cot heta >0. Find the exact values of tan heta and cos heta . 5 Let 0 be an angle such that sin 0 = and cot0>0. 6 Find the exact values of tan 0 and cos 0.
Use the properties of logarithms to expand the following expression. log(( oot(3)(x^(2)))/((x+8)^(5))) Your answer should not have radicals or exponents. You may assume that all variables are positive. Use the properties of logarithms to expand the following expression 3/.2 Vx log 8+x) Your…
Solve sin(x)=-0.3 on 0<=x<2Ï€ There are two solutions, A and B, with A<B and A and B in radians to 4 decimal places. A= B= Solve sin(0.3) on 0<<2 There are two solutions, A and B, with A<B and A and B in radians to 4 decimal places.
(c) The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale. Express this reading in terms of I_(0). A Richter scale rating of 6.3 expressed in terms of I_(0) is 2,000,000I_(0). (Round to the nearest million.) (d) The magnitude of a second earthquake measured…
Find the area of a sector of a circle with a central angle of 110deg and a radius of 12cm. cm^(2):: help (numbers) Find the area of a sector of a circle with a central angle of 110 and a radius of 12 cm. cm2 :: help (numbers)
Let heta be an angle such that tan heta =(6)/(5) and cos heta >0. Find the exact values of sec heta and sin heta . 6 Let 0 be an angle such that tan0= and cos00 5 Find the exact values of sec and sin sece X sine
Solve the equation: 3^(x+3)=2^(x) (-ln3)/(ln6) none (ln27)/(ln((3)/(2))) (ln((1)/(27)))/(ln((3)/(2))) Solve the equation: 3x+3=2x -1n3 ln 6 none ln 27 1n O 1n(z) 1n)
The terminal point $(-frac{9}{41}, -frac{40}{41})$ lies on the unit circle and is determined by a real number $t$. Find the trigonometric function values for $t$. Enter integers or reduced fractions for your responses. $sin{t}=$ $cos{t}=1$ $ an{t}=$ $csc{t}=1$ $sec{t}=$ $cot{t}=$ Enter integers…
Let (-5,-12) be a point on the terminal side of θ. Find the exact values of sinθ, cscθ, and cotθ. sinθ = cscθ = cotθ = Let (-5,-12) be a point on the terminal side of θ. Find the exact values of sinθ, cscθ, and cotθ. sinθ = cscθ = cotθ =
log(x)-(1)/(2)log(y)+7log(z) Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c**log(h). log(x)-(1)/(2)log(y)+7log(z)= log(-logy+7logz) Enclose arguments of functions in parentheses and include a multiplication sign between terms. For…
01. Write the expression as a simplified rational number. (a) (3)/(50) + (7)/(30) (b) (8)/(63) + (5)/(42) (c) (5)/(24) - (3)/(20) (d) (7)/(54) - (5)/(72) 02. Simplify the expression. (a) (2x^(2) + 7x + 3)/(2x^(2) - 7x - 4) (b) (2x^(2) + 7x - 15)/(3x^(2) + 17x + 10) (c) (y^(2) - 25)/(y^(3) -…
Write the equation of a parabola whose directrix is y=-1.5 and has a focus at (6,-4.5). Write the equation of a parabola whose directrix is y =- --1.5 and has a focus at (6, --4.5)
Use reference angles to find the exact value of the following expression. sin(-315°) Determine the reference angle for -315°. The reference angle is Select the correct choice below and, if necessary, fill in the answer box A. sin(-315°) = (Simplify your answer. Type an exact answer, using…
Question Given that cos( heta )=(4)/(5) and heta is in Quadrant IV, find sin( heta ) and cot( heta ). Question Given that cos) =4 and is in Quadrant IV.find sin and cot()
Use the unit circle to find the value of sin(5pi )/(3) and even or odd trigonometric functions to find the value of sin(-(5pi )/(3)). Select the correct choice below and fill in any answer boxes within your choice. A. sin(5pi )/(3)= (Type an exact answer, using radicals as needed. Simplify your…
Two trains leave towns 900 kilometers apart at the same time and travel toward each other. One train travels 15 km/h slower than the other. If they meet in 4 hours, what is the rate of each train? Rate of the slower train: ? km/h Rate of the faster train: ? km/h Note that the ALEKS graphing…
What is the angle of the complex number below? (4+j3)/(12+j5) 0.64 radians 4.0 radians 1.63 radians 0.25 radians -4.0 radians What is the angle of the complex number below? 4+j3 12+j5 0.64radians @4.0 radians 1.63 radians 0.25radians 4.0radians
Use reference angles to find the exact value of the following expression. Do not use a calculator. sin(-150deg ) Determine the reference angle for -150deg . The reference angle is Use reference angles to find the exact value of the following expression.Do not use a…
Find the rules for the composite functions fog and gof. f(x)=sqrt(x+8);g(x)=(1)/(x-8) fog= gof= Find the rules for the composite functions f o g and g o f. 1 f(x=x+8;gx= X-8 =60 =106
Let heta be an angle in quadrant III such that sec heta =-(9)/(4). Find the exact values of cot heta and sin heta . 9 Let 0 be an angle in quadrant III such that sec 0= Find the exact values of cot 0 and sin 0.
Solve using Cramer's Rule. x+y+z=8 x-y+z=2 2x+z=9 olve using Cramer's Rule x+y+z=8 x-y+z=2 2x 6=z+
Function (in factored form): Function (in standard form): End behavior: As x->-infty ,f(x)->infty . As x->infty ,f(x)-> Roots (with multiplicity): 2 (mult. 1), -3 (mult. 2), 0 (mult. 2) Value of leading coefficient: -1 Domain: Range: EXPLAIN EACH STEP PLEASE Function (in factored form):…
Write the domain of the function using interval notation. Question Help: Video 6 5 6--5 4 -3-2 -1 X -2 3 2 5 6 Write the domain of the function using interval notation. Question Help:Video Submit Question
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A polynomial of degree 5,P(x) has leading coefficient 3 , and has roots of multiplicity 3 at x=3, multiplicity 1 at x=8, and multiplicity 1 at x=-7. Find a possible formula for P(x). You can leave your answer in factor form. P(x)= A polynomial of degree 5, P(c) has leading coefficient 3, and…
Applying the Definition of Logarithm: Use the definition above (NOT a calculator!) to find the following logarithm values: a. 9= b. loglog10= c. loglog1000= d. lnlne= e. 1= f. 1= g. 256= h. .09) = i. loglog0.01= j. ((1)/(2))= k. lnln0= l. 0= m. loglog(-1)= n. (-0.8)= o. What do you think is the…
Find an angle between 0 and 2pi that is coterminal to -(7pi )/(20). The angle is coterminal to -(7pi )/(20). 7TT 20 Find an angle between 0 and 2tt that is coterminal to 7TT is coterminal to 20 The angle JT X 5
Problem 5. (1 point) A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 16900 in^3. How big a piece of cardboard is needed? Your answer is: in. by in.
Find the central angle heta which subtends an arc of length 6 feet of a circle of radius 24 feet. heta ~~ radians, (Type an integer or decimal rounded to three decimal places as needed.) Find the central angle O which subtends an arc of length 6 feet of a circle of radius 24…
Lesson 3.1 Relations and Functions Determine the implied domain Essay Beowulf Flashcard... UT APPLICATION money powers co... Is and Functions (3)/(16) Correct function. Express your answer in interval notation. f(x)=sqrt{x+5}+5 X Lesson 3.1 Relations and Functions Determine the implied…
Find the area of a triangle with the given description. (Round your answer to one decimal place.) a triangle with sides of length 5 and 9 and included angle 74deg Find the area of a triangle with the given description.i(Round your answer to one decimal place. a triangle with sides of length 5…
a) The actual yearly cost of the membership if club purchases for the year are $1500 is $40. b) What amount of club purchases would reduce the actual yearly cost of the membership to $43? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to…
A circle has a radius of 7ft. A sector of the circle has a central angle of (5pi )/(4) radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth. 5TT A circle has a radius of 7ft. A sector of the circle has a central angle of…
John's bank account balance in dollars, b, is a function of the number of days t since the beginning of 2017. Let's call this function f. a. Which of the following are true? Select all that apply. f*t=b f(x)=y f(b)=t f(t)=b b. Assume that t is also a function of b, and the name of this function…
Use the properties of logarithms to expand the following expression. log((4(6+x)^(3))/(x^(5))) Your answer should not have radicals or exponents. You may assume that all variables are positive. Use the properties of logarithms to expand the following expression 4(6+x)3 log Your answer should…
The function g is periodic with period 3 , and g(x)=(4)/(x) whenever 1<=x<4. (a) Sketch the graph of y=g(x).(b) find g(2) (c) find g(-11) 3. The function g is periodic with period 3,and g= whenever 1x<4. a) Sketch the graph of y=gx) [14)
Bonus Problem. Suppose the range of a function f is -5,8. What is the range of |f(x)| ? Bonus Problem. Suppose the range of a function f is [-5,8]. What is the range of |f()|?
Rewrite cos26deg in terms of its cofunction. Rewrite cos 26 in terms of its cofunction.
The population, P(t), in millions, of a country in year t, is given by the formula P(t)=15+0.2t. (a) What is the country's initial population? The country's initial population is million. (b) What is the average rate of change of the population in millions of people/year? Enter the exact…
Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to find the exact value of sin(2θ). cosθ = 8/17, 3π/2 < θ < 2π Use the information given about the angle 0.002 to find the exact value of sin(20). cosθ = 0, 0 < θ < 2π
Two petals of r=4sin3 heta 10.Two petals of r=4 sin 30
Find the exact values of the following expressions. sin((pi )/(3)) and cos((7pi )/(6)) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Find the exact values of the following expressions 7T sin Select the correct choice below andif necessary…
A partial sum of an arithmetic sequence is given sum_(k=0)^(14) (2+0.29k) A partial sum of an arithmetic sequence is given 14 (2+0.29k k=0
#01. Simplify. (a) ((1)/(2)x^(4))(16x^(5)) (b) (-3x^(-2))(4x^(4)) (c) ((2x^(3))(3x^(2)))/((x^(2))^(3)) (d) ((2x^(2))^(3)y^(2))/(4x^(4)y^(2)) (e) ((1)/(6)a^(5))(-3a^(2))(4a^(7)) (f) ((6x^(3))^(2))/((2x^(2))^(3))(3x^(2))^(0) (g) ((4a^(2)b)/(a^(3)b^(2)))((5a^(2)b)/(2b^(4))) (h)…
Evaluate the trigonometric function at the given real number. Write your answer as a simplified fraction, if necessary. h(t) = cot(t); t = (7π)/(4) h((7π)/(4)) = Evaluate the trigonometric function at the given real number. Write your answer as a simplified fraction, if necessary. h() =…
f(x)={(-(2)/(3)x-8 if x<=1),((1)/(4)x-6 if x>1):} syour answer as an integer or simplified fraction. If the function is 2 $ifx1 fx= 1 x-6 4 ifx>1 your answer as an integer or simplified fraction.if the function is
Two telephone poles, 22 feet and 29 feet high respectively, are 70 feet apart. How long is the wire from the top of one pole to the top of the second pole? Assume the wire is tight and that the wire is attached at the edge of each pole. Two telephone poles,22 feet and 29 feet high respectively,…
se reference angles to find the exact value of the following expression. Do not use a calculator. sin(-(35pi )/(4)) etermine the reference angle for -(35pi )/(4). he reference angle is ype your answer in radians. Use integers or fractions for any numbers in the expression. Type an e reference…
Let heta be an angle such that tan heta =(4)/(3) and csc heta <0. Find the exact values of sin heta and cos heta . 4 Let 0 be an angle such that tan 0 : and csc0<0. 3 Find the exact values of sin 0 and cos 0.
Use a Double- or Half-Angle Formula to solve the equation in the interval [0,2pi ). cos(2 heta )+cos( heta )=2 Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2T) cos(20)+cos)=2
Find the solutions to the equation in the interval 0<=t<=Ï€. Enter your answers as a comma-separated list. (cos(t)-3)(2sin^2(t)-1)=0 t= Find the solutions to the equation in the interval 0<=t<=Ï€. Enter your answers as a comma-separated list. cos(t)32sint0
#03. Simplify the expression, assuming x and y may be negative. (a) sqrt(x^(6)y^(4)) (b) sqrt(x^(4)y^(10)) (c) oot(4)(x^(8)(y-3)^(12)) (d) oot(4)((x+2)^(12)y^(4)) #03. Simplify the expression, assuming x and y may be negative. (a)x6y4 (b) x4y10 cx8y-312 (dx+212y4
Let heta be an angle such that cot heta = -(8)/(15) and sec heta < 0. Find the exact values of cos heta and sin heta. cos heta = sin heta = Let heta be an angle such that cot heta = -(8)/(15) and sec heta < 0. Find the exact values of cos heta and sin heta. cos heta = sin heta =
Use reference angles to find the exact value of the follo csc(11pi )/(6) Use reference angles to find the exact value of the follo K 11Tt CSC 6
Why does the arc of length (pi )/(6) on the unit circle correspond to the point ((sqrt(3))/(2),(1)/(2)) on the unit circle? art () or JT the unit circle?
Graph the given function by hand. f(x)=-|x+2|+4 v Sraph the given function by hand. fx=-1x+2|+4 y 6 2 2 2 X X 4 6 2 6 2 y 2 -2 6 6 4 4 6 2
Find the reference angle for (7pi )/(12) 7T Find the reference angle for 12 K
y = 5x^2 - 2x + 3
What is the arc length of the unit circle for an angle of (pi )/(2) radians? What is the arc length of the unit circle for an angle of Tt 2 radians?
Use reference angles to find the exact value of the following expression. Do not tan780deg Select the correct choice below and, if necessary, fill in the answer box to comp A. tan780deg = (Simplify your answer. Type an exact answer, using radicals as needed numbers in the expression.…
Find the rules for the composite functions fog and gof. f(x)=2x^(2)+7x+6;g(x)=x+3 fog= gof= Find the rules for the composite functions f o g and g o f fx=2x2+7x+6;gx=x+3 fog= =J06
If a jar of coins contains 40 half-dollars and 40 quarters, what is the monetary value of the coins? The monetary value of the coins is $â—». The monetary value of the coins is $ If a jar of coins contains 40 half-dollars and 40 quarters, what is the monetary value of the coins?
Solve by factoring 2cos^(2)(x)+3cos(x)+1=0,[0,2pi ) x=
Question Use a reference angle to write sec145deg in terms of the secant of a positive acute angle. Do not include the degree symbol in your answer. For example, if the answer is sec(10deg ), you would enter sec(10). Question Use a reference angle to write sec 145 in terms of the secant of a…
Find the exact value of the expression. Do not use a calculator 8cos45deg -7sin45deg Find the exact value of the expression Do not use a calculator 8cos45-7sin45
Find the reference angle for the angle 153deg . The reference angle is (Type an integer or a decimal.) Find the reference angle for the angle 153 The reference angle is (Type an integer or a decimal.)
Find the exact value, given that sinA=-(4)/(5), with A in quadrant IV, tanB=(7)/(24) with B in quadrant III, and cosC=-(5)/(13) with C in quadrant II. cos2A with B in quadrant III,and cos C--5/13 with C in quadrant II Cos2A
Convert the angle in degrees to radians. -225deg N -225 Convert the angle in degrees to radians.
The function below has at least one rational zero. Use this fact to find all zeros of the function. h(x)=5x^(3)+12x^(2)+12x+7 If there is more than one zero, separate them with The function below has at least one rational zero Use this fact to finda/zeros of the function hx=5x+12x2+12x+7 If…
Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. ln((1)/(121^(k))) Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. ln(1) - ln(121^k) Expand the logarithm as much as possible.…
Suppose that heta is an acute angle of a right triangle and that sec( heta )=(8)/(5). Find cos( heta ) and csc( heta ). Suppose that is an acute angle of a right triangle and that sec() 8 Find cos( and csc()
Find the standard form of the equation of the circle having the following properties: Center at the point (-2,3) Tangent to the y-axis Type the standard form of the equation of this circle. (Type an equation.) Find the standard form of the equation of the circle having the following properties:…
Let (2,-7) be a point on the terminal side of heta . Find the exact values of sin heta ,sec heta , and tan heta . Let 2,-7) be a point on the terminal side of . Find the exact values of sin secand tan sine X sece tane -
Given that the intercepts of a graph are (-2,0) and (0,6), choose the statement that is true Select the correct choice below. A. The x-intercept is -2 , and the y-intercept is 6 . B. The x-intercepts are -2 and 6 . C. The y-intercept is -2 , and the x-intercept is 6 . D. The y-intercepts are -2…
Find the following values of the function f(x)={(x-6,x<=2),(7-x,x>2):} f(-4)= f(2)= f(7)= Find the following values of the function x<2 x>2 f-4= f2= f(7=
Given the table below, determine whether y is a function of x and if the function is one-to-one. Select the correct answer below: y is not a function of x. y is a function of x, and the function is one-to-one. y is a function of x, but the function is not one-to-one. Given the table…
Consider the following: θ = 40°, d = 12m (a) Find the length of the arc that subtends the given central angle θ on a circle of diameter d. (Round your answer to two decimal places.) (b) Find the area A of the sector determined by θ. (Round your answer to two decimal places.) A = Consider the…
The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s) Question Help: Video 32 The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s) Question Help:Video Submit Question
The angle heta is an acute angle and sin heta =(3)/(10). Use the Pythagorean identity sin^(2) heta +cos^(2) heta =1 to find cos heta . 3 K< The angle is an acute angle and sin = Use the Pythagorean identity sin + cos =1 to find cos . 10
Convert the angle in radians to degrees. -(5pi )/(4) Convert the angle in radians to degrees 5T 4
Sketch the graph of r=5cos(4 heta ). Sketch the graph of r = 5cos(40)
For the given function, find all asymptotes and the coordinates of any holes in its graph. f(x)=(x+1)/(x^(2)-1) below and, if necessary, fill in the answer box to complete your choice. A. The equation of the horizontal asymptote is y=0. (Use integers or fractions for any numbers in the…
Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse. cos(B)=(4)/(5),a=26 b= c= Find the lengths of the missing sides if side a is opposite angle A,side b is opposite angle B, and side c is the hypotenuse. a=26
Question Write sec(115deg ) in terms of the secant of a positive acute angle. Do not include the degree symbol in your answer. Question Write sec(115) in terms of the secant of a positive acute angle.Do not include the degree symbol in your answer
Convert the equation, x^(2)+y^(2)=16, from rectangular coordinates into polar coordinates. Solve for r. r( heta )= Convert the equation+y=16, from rectangular coordinates into polar coordinates.Solve for r. T(O)
A parallelogram has sides of lengths 5 and 9 , and one angle is 41deg . What is the length of the smaller diagonal? length =, units What is the length of the longer diagonal? length =, units A parallelogram has sides of lengths 5and 9,and one angle is 41 What is the length of the smaller…
Find the area A of the sector of a circle of radius 20 feet formed by the central angle (1)/(2) radian. A = (1/2) * r^2 * θ A = (1/2) * 20^2 * (1/2) = 100π A = 100π square feet
Question: On the graph of f(x) = cos(x) and the interval [-2Ï€, 0), for what value of x does f(x) achieve a maximum? Choose the point in the figure. Provide your answer below:
Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation. x+6y=-23 -6x+3y=21 Solve the system of equations by using the inverse of the coefficient matrix of the equivalent matrix equation < +6y=-23 -6x+3y=21
Find the solutions to the equation in the interval 0 <= θ <= π/2. Enter your answers as a comma-separated list. 2cos(4θ) - 1 = 0 θ = Find the solutions to the equation in the interval 0 <= θ <= π/2. Enter your answers as a comma-separated list. 2cos(40) = 10
Use a double-angle formula to find the exact value of the given expression. 2cos^(2)15deg -1 Use a double-angle formula to find the exact value of the given expression 2cos215-1
Find the coordinates of the point on the unit circle corresponding to t = 4.254. Round your responses to 3 decimal digits. x = y = Tries 0/15
The angle between 0 and 2pi in radians that is coterminal with the angle -(95pi )/(12) radians is The angle between 0 and 2T in radians that is coterminal 95TT with the angle radians is 12 Submit Question
Solve using Cramer's rule. 8x+18y=-1 16x-6y=5 Solve using Cramer's rule. 8x+18y=1 16x6y5
For each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis, and the origin. Check all symmetries that apply. (a) xy^(2)+6=0 (b) 10x^(2)+24y^(2)=44 Symmetry: Symmetry: x-axis x-axis y-axis y-axis origin origin none of the above none of the…
Find a cofunction with the same value as the given expression. tan(2π)/(7) The answer is Find a cofunction with the same value as the given expression. 2π tanθ The answer is
Use the graph to answer the question. What is the maximum value for the function on the interval -2,3? |[-1],[*2],[3],[4]| Score Use the graph to answer the question. What is the maximum value for the function on the interval [-2,3]? Score 0 10 atv
This is similar to Try It #3 in the OpenStax text. Solve: 6x-10<20. Enter the exact answer in interval notation. To enter infty , type infinity. To enter cup , type U. This is similar to Try It #3 in the OpenStax text. Solve: 6x - 10 < 20. Enter the exact answer in interval notation. To enter…
Question 4 Let f(x) = (3x^2 + 20x + 25) / (3x^2 - 5x - 2) This function has: A y-intercept at the point x-intercepts at the point(s) Vertical asymptotes at x =
Find two real numbers between -2pi and 2pi that determine each of the points on the unit circle given to the right. The two real numbers that determine M are ? (Simplify your answer. Type exact answers, using pi as needed. Use integers or fractions for any numbers in the expression. Use a…
Find the inverse of the function with a and b representing positive real numbers. f(x)=ax^(3)+b f^(-1)(x)= Find the inverse of the function with a and b representing positive real numbers f(x)=ax3+b f-1(x)= on domain(-)
The point P=(-8,-3) on the circle x^(2)+y^(2)=r^(2) is also on the terminal side of an angle heta in standard position. Find sin heta ,cos heta ,tan heta ,csc heta ,sec heta , and cot heta . sin heta = cos heta = tan heta = csc heta = sec heta = cot heta = K< The point P=-8-3on the circle +y=…
Estimating a limit graphically. Activate Use a graph to estimate the limit lim_( heta ->0)(sin(6 heta ))/( heta ) Note: heta is measured in radians. All angles will be in radians in this class unless otherwise specified. lim_( heta ->0)(sin(6 heta ))/( heta )= 2. Estimating a limit…
Find all solutions of the equation 2cos(x) - 1 = 0. The answers are A and B, where A. Find all solutions of the equation 2cos(x) - 1 = 0. The answers are A and B, where A and B.
#01. Express as a polynomial. (a) 12x^3 + 9x^2 - 13x + 1 (b) x^3 + 2x^2 + 3x + 5 (c) 6x^2 - 19x - 35 (d) 15x^2 + 26xy + 8y^2 (e) 4x^2 - 23xy + 15y^2 (f) 2u^2 - 5u - 12 (g) 6x^3 + 37x^2 - 10x - 25 (h) x^4 - 2x^3 + 3x^2 + 4x - 24 (i) 3t^4 + 5t^3 - 7t^2 - 3t + 10 (j) 2x^6 + 10x^4 + x^3 + 5x (k)…
Use reference angles to find the exact value of the following expression. Do not use a calculator. tan780deg Determine the reference angle for 780deg . The reference angle is Use reference angles to find the exact value of the following expression. Do not use a calculator tan 780o Determine…
( 3 pts) Find the quotient and remainder using long division for: (x^(3)+3x^(2)+8x+15)/(x+2) Write the final answer as quotient +( remainder )/( divisor ) x3+3x2+8x+15 10. (3 pts) Find the quotient and remainder using long division for: x+2 divisor
A bottle of sun tea initially has a temperature of 78deg F. It is left to cool in a refrigerator that has a temperature of 35deg F. After 10 minutes the temperature of the sun tea is 62deg F. Complete parts a through c. a. Use Newton's Law of Cooling, T=C+(T_(0)-C)e^(kt), to find a model for…
When converting a vector to component form, the expression Ay = A * sin(theta) allows for calculation of the y-component of the vector.
Determine the value of the trigonometric function of s using the given information. sin5=(24)/(25),cos5=(7)/(25), Find sec5 -(7)/(25) -(7)/(24) (24)/(7) (25)/(7) Determine the value of the trigonometric function of s using the given information. 24 sin sm Find sec s @
Solve the right triangle ABC, with C=90deg . A=36.5deg ,b=32.4cm B=, (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) a~~_(c)m (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth as needed.) c~~cm (Simplify your answer. Type…
What is cos( heta )?I'mOK What is cos(0)? 2 90 0 3.4 4 ?
A group of students plans a tour. The charge per student is $72 if 14 students go on the trip. If more than 14 students participate, the charge per student is reduced by $2 times the number of students over 14. Find the number of students that will furnish the maximum revenue. What is the…
Let f(x) = (3x^2 + 11x - 20) / (2x^2 - 9x + 9) This function has: 1. Y-intercept at the point 2. X-intercepts at the point(s) 3. Vertical asymptotes at x = 4. Horizontal asymptote at y = 321120 Let f = 2299 This function has: 1. Y-intercept at the point 2. X-intercepts at the point(s) 3.…
A function value and a quadrant are given. Find the other five function values. Give exact answers. sinθ = 1/3, Quadrant I cosθ = -tanθ = A function value and a quadrant are given. Find the other five function values. Give exact answers. 1. sinθ = 0, Quadrant I 2. cosθ = 3. tanθ = 4. Tvnoa
Find two positive angles and two negative angles that are coterminal with the given angle and less than 1080deg but greater than -720deg . 145.5deg The coterminal angles are (Use a comma to separate answers as needed. Do not include the degree symbol in your answer.) 145.5o The coterminal…
Score: (5.6)/(7), (5)/(7) answered Progress saved Question 5 (0)/(1) pt 5 A population of bacteria is growing according to the equation P(t) = 900e^(0.07t). Estimate when the population will exceed 1208. t = Give your answer accurate to one decimal place. Question Help: ◻ Video 1 ◻ Video…
Draw the angle in standard position. State the quadrant in which the angle lies. -150deg 150 Draw the angle in standard position.State the quadrant in which the angle lies.
Solve the quadratic equation by factoring. Check your solutions in the original equation. (Enter your answers as a comma-separated list.) x^2 - 10x + 9 = 0 x = Need Help? Solve the quadratic equation by factoring. Check your solutions in the original equation. (Enter your answers as a…
Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=sinx+7 Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=sinx+7
The following reasons might explain why the equation for the length just obtained using components is the same as the answer obtained using geometry (Equation 1 above). c and θ are supplementary angles, that is, θ + c = π. The cosine function satisfies cos(α) = -cos(π - α). Cosine is an even…
The point given below is on the terminal side of an angle heta . Find the exact value of each of the six trigonometric functions of heta (-10,24) The point given below is on the terminal side of an angle 0. Find the exact value of each of the six trigonometric functions of (-10.24)
Given sin heta =1. Find cos(2 heta ). Answel
Use reference angles to find the exact value of the following expression. D tan750deg Use reference angles to find the exact value of the following expression. Dc tan750
Let f( heta )=(cos(5 heta ))/( heta ), find lim_( heta ->0)f( heta ). able[[x,-0.1,-0.01,-0.001,0.001,0.01,0.1],[f( heta ),-8.7758256,,,,,8.7758256]] 26) Let f(0) =cos (50) ,find lim f(0). 0 0-0 -0.1 -0.01 -0.001 0.001 0.01 0.1 f(0)|8.7758256 8.7758256
Find an equation for the line that passes through the points (-4,-4) and (6,2). Find an equation for the line that passes through the points (-4, --4) and (6, 2) E : 5
The graph shows a unit circle with point P at ((40)/(41),(9)/(41)). Enter the exact values, or DNE if the value is undefined. Sine of ∠xOP = Cosine of ∠xOP = Tangent of ∠xOP = 40 9 The graph shows a unit circle with point P at 41 41 P X Enter the exact values, or DNE if the value is…
Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation. y=-(1)/(8)x Select the correct choice below and fill in any answer boxes within your choice. A. The slope is (Simplify your answer.) B. The slope is undefined. Select the correct choice…
Convert the equation, 8r=cos( heta ), from polar coordinates into rectangular coordinates. Hint: Enter an equation of x and y for a circle. Convert the equation, 8r = cos(), from polar coordinates into rectangular coordinates. Hint: Enter an equation of c and y for a circle.
Draw a complete graph so that it has y-axis symmetry. Draw a complete graph so that it has y-axis symmetry (0,3) 1(1,2) (2,
Use reference angles to find the exact value of the following cot(-(pi )/(6)) Select the correct choice below and, if necessary, fill in the A. cot(-(pi )/(6))= (Simplify your answer. Type an exact answer, using numbers in the expression. Rationalize the denomin Use reference angles to find the…
Find a positive angle less than 2pi that is coterminal with the given angle. (13pi )/(4) A positive angle less than 2pi that is coterminal with (13pi )/(4) is (Simplify your answer. Type your answer in terms of pi Use integers or fractions Find a positive angle less than 2 that is coterminal…
Problem 5. Find the domain of each function using the interval notation. (a) f(x)=(sqrt(x-4))/(sqrt(x-6)) (b) f(x)=(x^(2)-9x)/(x^(2)-81) Problem 5. Find the domain of each function using the interval notation (a) f(x) =Vx-4 Vx-6 (b)f= 2-81
Solve for x: 2^(x) = 29 x = You may enter the exact value or round to 4 decimal places. Solve for: 2 = 29 You may enter the exact value or round to 4 decimal places.
Solve the following system of equations using Cramer's Rule. -3x - 3y + z = 6 -3x + 4y + z = -5 2x + 2y + z = 5 Solve the following system of equations using Cramer's Rule. -3x - 3y + z = 6 -3x + 4y + z = 5 2x + 2y + z = 5
A 27 - ft boat ramp makes a 9deg angle with the water. What is the height of the ramp above the water at the ramp's highest point? Round to 1 decimal place. The height of the ramp above the water is approximately ft . A 27-ft boat ramp makes a 9 angle with the water. What is the height of the…
The manager at a concert venue keeps track of the number of adult uutickets and student tickets sold each day and the total money received. On Wednesday, a total of 74 tickets were sold, and the money collected was $994. Suppose adult tickets are sold for $15 and student tickets are sold for…
What is the reference angle for (3pi )/(5) ? Answer must be in radians. 3TT What is the reference angle for 2 5 Answer must be in radians
Find the complement and the supplement of the given angle. (pi )/(20) Find the complement and the supplement of the given angle 20
Given sec heta =11, use trigonometric identities to find the exact value of the following expressions. (a) cos heta (b) tan^(2) heta (c) csc(90deg - heta ) (d) csc^(2) heta Given sec =11,use trigonometric identities to find the exact value of the following expressions K< (a)cose (b)…
lim_( heta ->0)(sin(8 heta ))/( heta ) Note: heta is measured in radians. All angles will be in radians in this class unless otherwise specified. lim_( heta ->0)(sin(8 heta ))/( heta )= Use a graph to estimate the limit sin(80) lim 90 Note: is measured in radians. All angles will be in…
How many discontinuities does the following piecewise function have? f(x)={(3e^(x+3)+1,x<-3),((2)/(3)x^(2)-1,-3=5):} three two one zero Score How many discontinuities does the following piecewise function have? 3e*+3+1, x<-3 fx= 13 29 x+ 2 [1og(2x-4), x5 three two one zero Score 0
Recall that the "leading term" of a polynomial is the entire term (including coefficient) containing the largest exponent. a. Suppose f(x)=5x^(5)+17x^(2)+14x-6. Determine the leading term of f. b. Suppose g(x)=10x^(3)-13x^(4)+x-12. Determine the leading term of g. c. Suppose…
Why does the arc of length (pi )/(6) on the unit circle correspond to the point ((sqrt(3))/(2),(1)/(2)) on the unit circle? TT Why does the arc of length on the unit circle correspond to 6 V3 1 the point on the unit circle? 2
Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number, t, or state that the expression is undefined. sin(5π)/(3) Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number…
Find the reference angle for the angle 99deg . The angle is Find the reference angle for the angle 99 The angle is
Simplify the following expression for the given value of x. Assume the angle heta is acute. sqrt(x^(2)-16) if x=-4csc heta For x=-4csc heta ,sqrt(x^(2)-16)= (Type an exact answer in simplified form.) Simplify the following expression for the given value of x. Assume the angle O is acute 2-16…
Solve using Cramer's Rule. 8x-y=9 x-8y=2 Solve using Cramer's Rule 8x-y=9 x-8y=2
Using the half-angle formula, what is cos(-(pi )/(12))? Using the half-angle formula, what is cos-?
Suppose we are given the following. Line 1 passes through (0,4) and (-3,8). Line 2 passes through (-4,-2) and (4,4). Line 3 passes through (4,1) and (8,4). (a) Find the slope of each line. Slope of Line 1= Slope of Line 2= Slope of Line 3= (b) For each pair of lines, determine whether they are…
Question If cot( heta )>0, then in which quadrants could heta lie? Select all correct answers. Question If cot>0then in which quadrants could lie?Select all correct answers.
Question 16 (0)/(10) pts Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f about the x-axis and if it is horizontally stretched by a factor of 8 when compared to the graph of f. g(x)=Af(Bx)+C where A= B= C= Question 16 0/10pts Describe a…
The equation of the hyperbola that has a center at (9,5), a focus at (14,5), and a vertex at (5,5), is ((x-C)^(2))/(A^(2))-((y-D)^(2))/(B^(2))=1 where A= B= C= D= The equation of the hyperbola that has a center at (9, 5), a focus at (14,5), and a vertex at (5,5), is x-Cy-D 1 A2 B2 where A = B…
Find a positive angle less than 2pi that is coterminal with the given angle. -(26pi )/(5) A positive angle less than 2pi that is coterminal with -(26pi )/(5) is (Simplify your answer. Type your answer in terms of pi . Use integers or fractions for any numbers in the expression.) Find a…
Use a reference angle to find the exact value of the following expression. Do not use a calculator. sin(120deg ) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. sin(120deg )= (Simplify your answer, including any radicals. Use integers or…
Let heta be an angle such that cos heta =(7)/(8) and tan heta <0. Find the exact values of cot heta and csc heta . 7 Let 0 be an angle such that cos 0 = and tan0<0 8 Find the exact values of cot 0 and csc 0.
Precalculus Program | Dept. Precalculus Program | Dept. date_homework.html Precalculus Program... Return to the Objective MATH 117, Unit 1, Objective 1, Section 1 Section 2 Section 3 Write a linear equation for the following table. able[[x= time, y=…
Use reference angles to find the exact value of the following expression. tan(240°) Select the correct choice below and, if necessary, fill in the answer box to complete your: A. tan(240°) = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers) B. The answer is…
Use the graph of the polynomial to solve the inequality P(x)>0. The solution set for P(x)>0 is (Type your answer in interval notation.) Use the graph of the polynomial to solve the inequality P(x)>O The solution set for P(x)>O is (Type your answer in interval notation. Q
QUESTION 8 - 1 POINT What is the area of the triangle bounded by the x-axis, the y-axis, and the line y=-3x+12 ? Provide your answer below: A= Content attribution QUESTION81POINT What is the area of the triangle bounded by the -axis, the y-axis, and the line y = --3. + 12? Provide your answer…
Rate of the jet in still air: 450 (mi)/(h) Rate of the jetstream: 50 (mi)/(h)
For the following exercise, given the function f, evaluate f(-3),f(-2),f(-1), and f(0). f(x)={(-3x^(2)+4 for x<-2):} 5x-6 for x>=-2 f(-3)= f(-2)= f(-1)= f(0)= For the following exercise, given the function f, evaluate f (-3), f (--2), f (-1), and f (0) -3x2+4forx<-2 15-6 for x -2 f(x)= f (-3)=…
The terminal point (-9/41, -40/41) lies on the unit circle and is determined by a real number t. Find the trigonometric function values for t. Enter integers or reduced fractions for your responses. sin(t) = cos(t) = tan(t) = csc(t) = sec(t) = cot(t) = The terminal point (4, -41) lies on the…
Why does the arc of length on the unit circle correspond to the point on the unit circle? Why does the arc of length on the unit circle correspond to the point on the unit circle?
The point given below is on the terminal side of an angle heta . Find the exact value of each of the six trigonometric functions of heta . (-24,10) 010.71 Points:0of1 The point given below is on the terminal side of an angle 0.Find the exact value of each of the six trigonometric functions of…
sin^(2)θ + cos^(2)θ = 1
Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. y=5sin((1)/(4)x) Determine the amplitude, period, and phase shift (if any) of the given function Graph the function y=5sin (2x)
Determine the value of the trigonometric function of s using the given information. sins=(15)/(17),coss=-(8)/(17), Find cscs Determine the value of the trigonometric function of s using the given information. sins Find csc.s. 17
Does the graph cross, or touch but not cross the x-axis at the x-intercept -2? The graph crosses the x-axis. The graph touches but does not cross the x-axis. Does the graph cross, or touch but not cross the x-axis at the x-intercept -6? The graph touches but does not cross the x-axis. The graph…
(a) 670° positive angles: 40°, 400° negative angles: -310°, -660° (b) ( frac{5pi}{6} ) positive angles negative angles (c) ( -frac{pi}{5} ) positive angles negative angles
n 1: Find the exact values of the other five trigonometric functions of t by using the given information. a. cos(t)=-(7)/(25), such that the terminal side of t lies in Quadrant II. n 1: Find the exact values of the other five trigonometric functions of t by using the given information. 7…
Evaluate the following trigonometric function at the quadrantal angle, or state that the expression is undefined. sec π Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The value of sec π is B. sec π is undefined. Evaluate the following…
Find the reference angle for the angle (25pi )/(6). The reference angle is (Type your answer in radians. Type an integer or a simplified fr 25Tt Find the reference angle for the angle 6 The reference angle is (Type your answer in radians Type an integer or a simplified fr
Find the exact value of each of the remaining trigonometric functions of θ. sinθ = 9/41, θ in Quadrant II cosθ = (Simplify your answer. Type an exact answer, using radicals as needed. Use tanθ = (Simplify your answer. Type an exact answer, using radicals as needed. Use cscθ = (Simplify your…
Sketch heta =-(11pi )/(4) in standard position. 11 in standard position 4 Sketch 0= X Drag to show the angle
Solve the equation in the interval 0,pi . Hint: Use a double angle identity first. Enter your answers as a comma-separated list. sin(2x)-cos(x)=0 x= Solve the equation in the interval [0,Tr].Hint: Use a double angle identity first. Enter your answers as a comma-separated list. sin(2x)-cos(x)=0
and cott if P=(−√3/2,−1/2) is the point on the unit circle that corresponds to the real number t.
Establish the identity 1+z+z^(2)+cdots+z^(n)=(1-z^(n+1))/(1-z),(z)!=(1) 9. Establish the identity 1- zn+1 1+z+z2+...+z= 1-z (z 1)
Find the exact value of the expression. Do not use a calculator. csc81deg sec9deg -tan9deg cot81deg Find the exact value of the expression.Do not use a calculator csc81sec9-tan9cot81
Solve the right triangle. B=deg , ' (Round to the nearest integer as needed.) a=-m (Round to the nearest integer as needed.) b=-m (Round to the nearest integer as needed.) Solve the right triangle B 969 m 42025 b B= (Round to the nearest integer as needed.) m (Round to the nearest integer as…
Convert the radian measure to degrees. -(pi )/(9) -(pi )/(9) radians = Convert the radian measure to degrees T radians
Question Given that cos( heta )=(3sqrt(10))/(10), and heta is in Quadrant IV, what is sin( heta ) ? Question 3v10 and 0is in Quadrant IV, what is sin(0) Given that cos()
Use the unit circle to find the value of cos(7pi )/(6) and even or odd trigonometric functions to find the value of cos(-(7pi )/(6)). Select the correct choice below and fill in any answer boxes within your choice. A. cos(7pi )/(6)= (Type an exact answer, using radicals as needed. Simplify your…
Question Use a reference angle to write sec145deg in terms of the secant of a positive acute angl Question Use a reference angle to write sec 145 in terms of the secant of a positive acute ang
Graph the given system of inequalities. 2x+y>=-8 4x+2y<=0 Use the graphing tool to graph the system. Graph the given system of inequalities 2x+y-8 4x+2y0 Use the graphing tool to graph the system Click to enlarge graph
Assignment Submission For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. 4. SPRECALC7 1.10.036. Find an equation of…
Use the Laws of logarithms to rewrite the expression log((x^(10)y^(19))/(z^(4))) in a form with no logarithm of a product, quotient or power. After rewriting we have log((x^(10)y^(19))/(z^(4))) = Alog(x) + Blog(y) + Clog(z) with A = B = and C = Use the Laws of logarithms to rewrite the…
f(x)={(-(2)/(3)x-8 if x<=1),((1)/(4)x-6 if x>1):}
cos heta =-(3)/(5), heta in Quadrant III sin heta = 1 cos0= 315 O in Quadrant III sin0=
Consider the following: θ = 70°, d = 18m (a) Find the length of the arc that subtends the given central angle θ on a circle of diameter d. (Round your answer to two decimal places.) m (b) Find the area A of the sector determined by θ. (Round your answer to two decimal places.) A = × m^2 Need…
Give an expression that generates all angles coterminal with the given angle. -480deg The correct expression is -480deg +,. (Type an equation using n as the variable.) Give an expression that generates all angles coterminal with the given angle The correct expression is 480+. (Type an equation…
Find the reference angle heta ^(') in degrees. heta ^(')=, heta =-245deg Find the reference angle oin degrees 0245
Complete the sentence: A earthquake of magnitude 5 on the Richter scale .... displaces the ground by 5 millimeters at 10 kilometers distance is the same as a magnitude 5 on the Modified Mercalli Scale. displaces the ground by 5 millimeters at 1 kilometer distance releases 40 times the amount of…
Test the equation for symmetry. (Select all that apply.) x=7y^(4)-9y^(2) The graph is symmetric with respect to the x-axis. The graph is symmetric with respect to the y-axis. The graph is symmetric with respect to the origin. Test the eguation for symmetry.(Select all that apply. x=7y4-9y2 The…
Find a cofunction with the same value as the given expression. cos((pi )/(4)) Find a cofunction with the same value as the given expression coS
Suppose that a computer that originally sold for x dollars has been discounted 66%. Which one of the following expressions does not represent its sale price? Choose the correct answer below. A. x-0.66x B. (17)/(50)x C. x-0.66 D. 0.34x OD.0.34x 990x OB.50 OA.1x-0.66x Choose the correct answer…
Find the fifth term and the nth term of the geometric sequence whose initial term a_(1) and common ratio r are given. a_(1)=1;r=-(1)/(6) Find the fifth term and the nth term of the geometric sequence whose initial term a, and common ratio r are given 1 a1=1;r= 6
Which one or more of the following cannot be a correct equation to solve a geometry problem, if x represents the length of a rectangle? (Hint: Solve each equation and consider the solution.) Select all that apply. A. 2x+2(x-1)=10 B. 5(x+4)+5x=20 C. 4x+4(x-3)=36 D. -3x+9(5-x)=56 the…
Score: 5/7 5/7 answered Question 4 Let f(x) = (3x^2 + 11x - 20)/(3x^2 - 17x + 10) This function has: A y-intercept at the point x-intercepts at the point(s) Vertical asymptotes at x=
A circle has the equation x^2 + y^2 + 2x - 4y - 20 = 0. (a) Find the center (h, k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (Type an ordered pair, using integers or decimals.)
Let heta be an angle such that sin heta =(5)/(6) and cot heta >0. Find the exact values of tan heta and cos heta . 5 Let 0 be an angle such that sin 0 = and cot0>0. 6 Find the exact values of tan 0 and cos 0.
Use the properties of logarithms to expand the following expression. log(( oot(3)(x^(2)))/((x+8)^(5))) Your answer should not have radicals or exponents. You may assume that all variables are positive. Use the properties of logarithms to expand the following expression 3/.2 Vx log 8+x) Your…
Solve sin(x)=-0.3 on 0<=x<2Ï€ There are two solutions, A and B, with A<B and A and B in radians to 4 decimal places. A= B= Solve sin(0.3) on 0<<2 There are two solutions, A and B, with A<B and A and B in radians to 4 decimal places.
(c) The magnitude of the first earthquake in a certain year measured 6.3 on the Richter scale. Express this reading in terms of I_(0). A Richter scale rating of 6.3 expressed in terms of I_(0) is 2,000,000I_(0). (Round to the nearest million.) (d) The magnitude of a second earthquake measured…
Find the area of a sector of a circle with a central angle of 110deg and a radius of 12cm. cm^(2):: help (numbers) Find the area of a sector of a circle with a central angle of 110 and a radius of 12 cm. cm2 :: help (numbers)
Let heta be an angle such that tan heta =(6)/(5) and cos heta >0. Find the exact values of sec heta and sin heta . 6 Let 0 be an angle such that tan0= and cos00 5 Find the exact values of sec and sin sece X sine
Solve the equation: 3^(x+3)=2^(x) (-ln3)/(ln6) none (ln27)/(ln((3)/(2))) (ln((1)/(27)))/(ln((3)/(2))) Solve the equation: 3x+3=2x -1n3 ln 6 none ln 27 1n O 1n(z) 1n)
The terminal point $(-frac{9}{41}, -frac{40}{41})$ lies on the unit circle and is determined by a real number $t$. Find the trigonometric function values for $t$. Enter integers or reduced fractions for your responses. $sin{t}=$ $cos{t}=1$ $ an{t}=$ $csc{t}=1$ $sec{t}=$ $cot{t}=$ Enter integers…
Let (-5,-12) be a point on the terminal side of θ. Find the exact values of sinθ, cscθ, and cotθ. sinθ = cscθ = cotθ = Let (-5,-12) be a point on the terminal side of θ. Find the exact values of sinθ, cscθ, and cotθ. sinθ = cscθ = cotθ =
log(x)-(1)/(2)log(y)+7log(z) Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, c**log(h). log(x)-(1)/(2)log(y)+7log(z)= log(-logy+7logz) Enclose arguments of functions in parentheses and include a multiplication sign between terms. For…
01. Write the expression as a simplified rational number. (a) (3)/(50) + (7)/(30) (b) (8)/(63) + (5)/(42) (c) (5)/(24) - (3)/(20) (d) (7)/(54) - (5)/(72) 02. Simplify the expression. (a) (2x^(2) + 7x + 3)/(2x^(2) - 7x - 4) (b) (2x^(2) + 7x - 15)/(3x^(2) + 17x + 10) (c) (y^(2) - 25)/(y^(3) -…
Write the equation of a parabola whose directrix is y=-1.5 and has a focus at (6,-4.5). Write the equation of a parabola whose directrix is y =- --1.5 and has a focus at (6, --4.5)
Use reference angles to find the exact value of the following expression. sin(-315°) Determine the reference angle for -315°. The reference angle is Select the correct choice below and, if necessary, fill in the answer box A. sin(-315°) = (Simplify your answer. Type an exact answer, using…
Question Given that cos( heta )=(4)/(5) and heta is in Quadrant IV, find sin( heta ) and cot( heta ). Question Given that cos) =4 and is in Quadrant IV.find sin and cot()
Use the unit circle to find the value of sin(5pi )/(3) and even or odd trigonometric functions to find the value of sin(-(5pi )/(3)). Select the correct choice below and fill in any answer boxes within your choice. A. sin(5pi )/(3)= (Type an exact answer, using radicals as needed. Simplify your…
Two trains leave towns 900 kilometers apart at the same time and travel toward each other. One train travels 15 km/h slower than the other. If they meet in 4 hours, what is the rate of each train? Rate of the slower train: ? km/h Rate of the faster train: ? km/h Note that the ALEKS graphing…
What is the angle of the complex number below? (4+j3)/(12+j5) 0.64 radians 4.0 radians 1.63 radians 0.25 radians -4.0 radians What is the angle of the complex number below? 4+j3 12+j5 0.64radians @4.0 radians 1.63 radians 0.25radians 4.0radians
Use reference angles to find the exact value of the following expression. Do not use a calculator. sin(-150deg ) Determine the reference angle for -150deg . The reference angle is Use reference angles to find the exact value of the following expression.Do not use a…
Find the rules for the composite functions fog and gof. f(x)=sqrt(x+8);g(x)=(1)/(x-8) fog= gof= Find the rules for the composite functions f o g and g o f. 1 f(x=x+8;gx= X-8 =60 =106
Let heta be an angle in quadrant III such that sec heta =-(9)/(4). Find the exact values of cot heta and sin heta . 9 Let 0 be an angle in quadrant III such that sec 0= Find the exact values of cot 0 and sin 0.
Solve using Cramer's Rule. x+y+z=8 x-y+z=2 2x+z=9 olve using Cramer's Rule x+y+z=8 x-y+z=2 2x 6=z+
Function (in factored form): Function (in standard form): End behavior: As x->-infty ,f(x)->infty . As x->infty ,f(x)-> Roots (with multiplicity): 2 (mult. 1), -3 (mult. 2), 0 (mult. 2) Value of leading coefficient: -1 Domain: Range: EXPLAIN EACH STEP PLEASE Function (in factored form):…
Write the domain of the function using interval notation. Question Help: Video 6 5 6--5 4 -3-2 -1 X -2 3 2 5 6 Write the domain of the function using interval notation. Question Help:Video Submit Question
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A polynomial of degree 5,P(x) has leading coefficient 3 , and has roots of multiplicity 3 at x=3, multiplicity 1 at x=8, and multiplicity 1 at x=-7. Find a possible formula for P(x). You can leave your answer in factor form. P(x)= A polynomial of degree 5, P(c) has leading coefficient 3, and…
Applying the Definition of Logarithm: Use the definition above (NOT a calculator!) to find the following logarithm values: a. 9= b. loglog10= c. loglog1000= d. lnlne= e. 1= f. 1= g. 256= h. .09) = i. loglog0.01= j. ((1)/(2))= k. lnln0= l. 0= m. loglog(-1)= n. (-0.8)= o. What do you think is the…
Find an angle between 0 and 2pi that is coterminal to -(7pi )/(20). The angle is coterminal to -(7pi )/(20). 7TT 20 Find an angle between 0 and 2tt that is coterminal to 7TT is coterminal to 20 The angle JT X 5
Problem 5. (1 point) A box with a square base and no top is to be made from a square piece of cardboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 16900 in^3. How big a piece of cardboard is needed? Your answer is: in. by in.
Find the central angle heta which subtends an arc of length 6 feet of a circle of radius 24 feet. heta ~~ radians, (Type an integer or decimal rounded to three decimal places as needed.) Find the central angle O which subtends an arc of length 6 feet of a circle of radius 24…
Lesson 3.1 Relations and Functions Determine the implied domain Essay Beowulf Flashcard... UT APPLICATION money powers co... Is and Functions (3)/(16) Correct function. Express your answer in interval notation. f(x)=sqrt{x+5}+5 X Lesson 3.1 Relations and Functions Determine the implied…
Find the area of a triangle with the given description. (Round your answer to one decimal place.) a triangle with sides of length 5 and 9 and included angle 74deg Find the area of a triangle with the given description.i(Round your answer to one decimal place. a triangle with sides of length 5…
a) The actual yearly cost of the membership if club purchases for the year are $1500 is $40. b) What amount of club purchases would reduce the actual yearly cost of the membership to $43? c) How much would a member have to spend in yearly club purchases to reduce the yearly membership cost to…
A circle has a radius of 7ft. A sector of the circle has a central angle of (5pi )/(4) radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth. 5TT A circle has a radius of 7ft. A sector of the circle has a central angle of…
John's bank account balance in dollars, b, is a function of the number of days t since the beginning of 2017. Let's call this function f. a. Which of the following are true? Select all that apply. f*t=b f(x)=y f(b)=t f(t)=b b. Assume that t is also a function of b, and the name of this function…
Use the properties of logarithms to expand the following expression. log((4(6+x)^(3))/(x^(5))) Your answer should not have radicals or exponents. You may assume that all variables are positive. Use the properties of logarithms to expand the following expression 4(6+x)3 log Your answer should…
The function g is periodic with period 3 , and g(x)=(4)/(x) whenever 1<=x<4. (a) Sketch the graph of y=g(x).(b) find g(2) (c) find g(-11) 3. The function g is periodic with period 3,and g= whenever 1x<4. a) Sketch the graph of y=gx) [14)
Bonus Problem. Suppose the range of a function f is -5,8. What is the range of |f(x)| ? Bonus Problem. Suppose the range of a function f is [-5,8]. What is the range of |f()|?
Rewrite cos26deg in terms of its cofunction. Rewrite cos 26 in terms of its cofunction.
The population, P(t), in millions, of a country in year t, is given by the formula P(t)=15+0.2t. (a) What is the country's initial population? The country's initial population is million. (b) What is the average rate of change of the population in millions of people/year? Enter the exact…
Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to find the exact value of sin(2θ). cosθ = 8/17, 3π/2 < θ < 2π Use the information given about the angle 0.002 to find the exact value of sin(20). cosθ = 0, 0 < θ < 2π
Two petals of r=4sin3 heta 10.Two petals of r=4 sin 30
Find the exact values of the following expressions. sin((pi )/(3)) and cos((7pi )/(6)) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Find the exact values of the following expressions 7T sin Select the correct choice below andif necessary…
A partial sum of an arithmetic sequence is given sum_(k=0)^(14) (2+0.29k) A partial sum of an arithmetic sequence is given 14 (2+0.29k k=0
#01. Simplify. (a) ((1)/(2)x^(4))(16x^(5)) (b) (-3x^(-2))(4x^(4)) (c) ((2x^(3))(3x^(2)))/((x^(2))^(3)) (d) ((2x^(2))^(3)y^(2))/(4x^(4)y^(2)) (e) ((1)/(6)a^(5))(-3a^(2))(4a^(7)) (f) ((6x^(3))^(2))/((2x^(2))^(3))(3x^(2))^(0) (g) ((4a^(2)b)/(a^(3)b^(2)))((5a^(2)b)/(2b^(4))) (h)…
Evaluate the trigonometric function at the given real number. Write your answer as a simplified fraction, if necessary. h(t) = cot(t); t = (7π)/(4) h((7π)/(4)) = Evaluate the trigonometric function at the given real number. Write your answer as a simplified fraction, if necessary. h() =…
f(x)={(-(2)/(3)x-8 if x<=1),((1)/(4)x-6 if x>1):} syour answer as an integer or simplified fraction. If the function is 2 $ifx1 fx= 1 x-6 4 ifx>1 your answer as an integer or simplified fraction.if the function is
Two telephone poles, 22 feet and 29 feet high respectively, are 70 feet apart. How long is the wire from the top of one pole to the top of the second pole? Assume the wire is tight and that the wire is attached at the edge of each pole. Two telephone poles,22 feet and 29 feet high respectively,…
se reference angles to find the exact value of the following expression. Do not use a calculator. sin(-(35pi )/(4)) etermine the reference angle for -(35pi )/(4). he reference angle is ype your answer in radians. Use integers or fractions for any numbers in the expression. Type an e reference…
Let heta be an angle such that tan heta =(4)/(3) and csc heta <0. Find the exact values of sin heta and cos heta . 4 Let 0 be an angle such that tan 0 : and csc0<0. 3 Find the exact values of sin 0 and cos 0.
Use a Double- or Half-Angle Formula to solve the equation in the interval [0,2pi ). cos(2 heta )+cos( heta )=2 Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2T) cos(20)+cos)=2
Find the solutions to the equation in the interval 0<=t<=Ï€. Enter your answers as a comma-separated list. (cos(t)-3)(2sin^2(t)-1)=0 t= Find the solutions to the equation in the interval 0<=t<=Ï€. Enter your answers as a comma-separated list. cos(t)32sint0
#03. Simplify the expression, assuming x and y may be negative. (a) sqrt(x^(6)y^(4)) (b) sqrt(x^(4)y^(10)) (c) oot(4)(x^(8)(y-3)^(12)) (d) oot(4)((x+2)^(12)y^(4)) #03. Simplify the expression, assuming x and y may be negative. (a)x6y4 (b) x4y10 cx8y-312 (dx+212y4
Let heta be an angle such that cot heta = -(8)/(15) and sec heta < 0. Find the exact values of cos heta and sin heta. cos heta = sin heta = Let heta be an angle such that cot heta = -(8)/(15) and sec heta < 0. Find the exact values of cos heta and sin heta. cos heta = sin heta =
Use reference angles to find the exact value of the follo csc(11pi )/(6) Use reference angles to find the exact value of the follo K 11Tt CSC 6
Why does the arc of length (pi )/(6) on the unit circle correspond to the point ((sqrt(3))/(2),(1)/(2)) on the unit circle? art () or JT the unit circle?
Graph the given function by hand. f(x)=-|x+2|+4 v Sraph the given function by hand. fx=-1x+2|+4 y 6 2 2 2 X X 4 6 2 6 2 y 2 -2 6 6 4 4 6 2
Find the reference angle for (7pi )/(12) 7T Find the reference angle for 12 K
y = 5x^2 - 2x + 3
What is the arc length of the unit circle for an angle of (pi )/(2) radians? What is the arc length of the unit circle for an angle of Tt 2 radians?
Use reference angles to find the exact value of the following expression. Do not tan780deg Select the correct choice below and, if necessary, fill in the answer box to comp A. tan780deg = (Simplify your answer. Type an exact answer, using radicals as needed numbers in the expression.…
Find the rules for the composite functions fog and gof. f(x)=2x^(2)+7x+6;g(x)=x+3 fog= gof= Find the rules for the composite functions f o g and g o f fx=2x2+7x+6;gx=x+3 fog= =J06
If a jar of coins contains 40 half-dollars and 40 quarters, what is the monetary value of the coins? The monetary value of the coins is $â—». The monetary value of the coins is $ If a jar of coins contains 40 half-dollars and 40 quarters, what is the monetary value of the coins?
Solve by factoring 2cos^(2)(x)+3cos(x)+1=0,[0,2pi ) x=
Question Use a reference angle to write sec145deg in terms of the secant of a positive acute angle. Do not include the degree symbol in your answer. For example, if the answer is sec(10deg ), you would enter sec(10). Question Use a reference angle to write sec 145 in terms of the secant of a…
Find the exact value of the expression. Do not use a calculator 8cos45deg -7sin45deg Find the exact value of the expression Do not use a calculator 8cos45-7sin45
Find the reference angle for the angle 153deg . The reference angle is (Type an integer or a decimal.) Find the reference angle for the angle 153 The reference angle is (Type an integer or a decimal.)
Find the exact value, given that sinA=-(4)/(5), with A in quadrant IV, tanB=(7)/(24) with B in quadrant III, and cosC=-(5)/(13) with C in quadrant II. cos2A with B in quadrant III,and cos C--5/13 with C in quadrant II Cos2A
Convert the angle in degrees to radians. -225deg N -225 Convert the angle in degrees to radians.
The function below has at least one rational zero. Use this fact to find all zeros of the function. h(x)=5x^(3)+12x^(2)+12x+7 If there is more than one zero, separate them with The function below has at least one rational zero Use this fact to finda/zeros of the function hx=5x+12x2+12x+7 If…
Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. ln((1)/(121^(k))) Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. ln(1) - ln(121^k) Expand the logarithm as much as possible.…
Suppose that heta is an acute angle of a right triangle and that sec( heta )=(8)/(5). Find cos( heta ) and csc( heta ). Suppose that is an acute angle of a right triangle and that sec() 8 Find cos( and csc()
Find the standard form of the equation of the circle having the following properties: Center at the point (-2,3) Tangent to the y-axis Type the standard form of the equation of this circle. (Type an equation.) Find the standard form of the equation of the circle having the following properties:…
Let (2,-7) be a point on the terminal side of heta . Find the exact values of sin heta ,sec heta , and tan heta . Let 2,-7) be a point on the terminal side of . Find the exact values of sin secand tan sine X sece tane -
Given that the intercepts of a graph are (-2,0) and (0,6), choose the statement that is true Select the correct choice below. A. The x-intercept is -2 , and the y-intercept is 6 . B. The x-intercepts are -2 and 6 . C. The y-intercept is -2 , and the x-intercept is 6 . D. The y-intercepts are -2…
Find the following values of the function f(x)={(x-6,x<=2),(7-x,x>2):} f(-4)= f(2)= f(7)= Find the following values of the function x<2 x>2 f-4= f2= f(7=
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