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February 21 of 2024
Question Find an angle A that is coterminal with an angle, in radians, measuring -(29pi )/(6), where 0<=A<2pi . Give your answer as an exact answer involving pi , if necessary.
The questions below refer to the linear functions shown in the plot below. The function f(x)=m_(f)x+b_(f) is shown with a solid line, the function g(x)=m_(g)x+b_(g) is shown with a dashed line, and the function h(x)=m_(h)x+b_(h) is shown with a dotted line. (a) Determine which y-intercept , andā¦
This question: 1 point(s) possible (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x^3 + 5x^2 - 2x - 10, that is, solve f(x) = 0. (b) Factor f(x) into linear factors. Question 2 of 5 This question: 1 point(s) possible (b) Factor f(x) into linear factors.
Write an equation for a rational function with the given characteristics. Vertical asymptotes at x=-2 and x=5,x-intercepts at (-3,0) and (1,0), horizontal asymptote at y=-5 Enclose numerators and denominators in parentheses. For example, (a-b)/(1+n). Include a multiplication sign betweenā¦
The amount, in grams, of a radioactive element can be predicted according to the formula Z(t)=750(0.94)^(t) where t is years after 2020. Given this information what is the half life of the element? Round your answer to the nearest two decimal places. The amount, in grams,of a radioactiveā¦
(7x+2)^(2)-2(7x+2)-24=0 Make an appropriate substitution and solve the equation. (7x+2)^(2)-2(7x+2)-24=0 Make an appropriate substitution and solve the equation 7x+22-27x+2-24=0
Use a reference angle to find the exact value of the following expression. Do not use a calculator. cos(135deg ) Determine the reference angle for 135deg . The reference angle is Use a reference angle to find the exact value of the following expression. Do not use a calculator.ā¦
Find two solutions of each equation. Give your answers in degrees (0deg )<= heta <(360deg ) and in radians (0)<= heta <(2pi ). as comma-separated lists.) (a) sin( heta )=(1)/(2) degrees radians (b) sin( heta )=-(1)/(2) degrees radians Find two solutions of each equation.Give your answers inā¦
Find the exact value of each of the remaining trigonometric functions of heta . cos heta =-(4)/(5), heta in quadrant II K Find the exact value of each of the remaining trigonometric functions of 0. 4 cose=-
Please show your work. Use the triangle information below to answer the following questions. Round all decimals to the nearest hundredth. 5. The information given is of the form: a. Angle-Angle-side b. Angle-Side-Angle c. Side-Angle-side d. Side-Side-Angle e. Side-Side-Side 6. Therefore, Iā¦
Find an equation for the ellipse. Graph the equation. Center at (2,-4); vertex at (8,-4); contains the point (2,2) Find an equation for the ellipse.Graph the equation Center at2,-4vertex at8,-4;contains the point(2,2)
The point given below is on the terminal side of an angle Īø in standard position. Find the exact value of each of the six trigonometric functions of Īø. (10,-24) sinĪø = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in theā¦
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.(If an answer does not exist,ā¦
Use an addition formula to derive the identity. sin(x+(pi )/(2))=cosx Use an addition formula to derive the identity sinx+ 2 COSX
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. tan(3pi )/(2) Use the (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real number,ā¦
State whether the graph of the function is a parabola. If the graph is a parabola, find the parabola's vertex. f(x)=x^(2)-4x+4 State whether the graph of the function is a parabola. If the graph is a parabola, find the parabola's vertex f(x)=2-4x+4
Cooper Section 12.1 #2 What are the amplitude, frequency, and period of the following? a. 9sin(4t) Amplitude = 9 Frequency = 4 Period = 2Ļ/4 = Ļ/2 a. 5sin(4t) Amplitude = 5 Frequency = 4 Period = 2Ļ/4 = Ļ/2 a. -4sin(3Ļt) Amplitude = 4 Frequency = 3 Period = 2Ļ/3
Suppose f(5)=2,f^(')(5)=6,g(5)=9, and g^(')(5)=5. Find h(5) and h^(')(5), where h(x)=3f(x)+5g(x). h(5)=, (Simplify your answer.) Suppose f5=2,f5=6,g5=9,and g5=5.Find h5and h5,where hx=3fx+5gx < h(5)=(Simplify your answer.)
Solve the triang!e. using the Law of Sines. (Assume b=21 and c=21, and /_(C)=62deg . Round the length to two decimal places.) Solve.the triangle.using the Law of Sines.Assume b=21 and c=21,and C= 62.Round the length to two decimal places.) A Enter a number. B = B
Proof identity of the equation in the attached photo 1+sin A cos A cos B 1-sin B 2 sin A-2 sin B sin(A-B)+cos A-cos B
c) A bicycle wheel turns at 60rpm. If the wheels of the bicycle measure 650mm across, what distance, in metres, does the bicycle travel in 1.00min ? d) The mean distance from Earth to the moon is 385000km. The moon travels around Earth once every 27.2 days. Assuming a circular orbit, what isā¦
Use the definition or identities to find the exact value of the indicated trigonometric function of the acute angle heta , given that tan heta =sqrt(3). Find cos heta . (1)/(2) (sqrt(3))/(2) (sqrt(3))/(3) 2 Use the definition or identities to find the exact value of the indicated trigonometricā¦
What are the amplitude, frequency, and period of the following? a. 6sin(8t) Amplitude = Frequency = Period = a. 3sin(7t) Amplitude = Frequency = Period = a. -5sin(8pi t) Amplitude = Frequency = Period = a. 2sin((t)/(8)) Amplitude = Frequency = What are the amplitude, frequency, and period ofā¦
(1)/(6) of some number is 9.5. What is the number? of some number is 9.5What is the number?
Restricting the Domain: In Exercises 73-82, restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f^(-1). State the domains and ranges of f and f^(-1). Explain your results. (There are many correct answers.) F(x) =ā¦
Calculate the exact value of arccos(-(1)/(2)). Note that a special angle is involved, so a calculator is not necessary. (Give an exact answer. Use symbolic notation and fractions where needed. Give the angle in radians. Simplify your answer completely.) arccos(-(1)/(2))= radians Determine theā¦
Find the exact value of the expression without using a calculator. sin((3pi )/(2))+cos((pi )/(2))= Find the exact value of the expression without using a calculator sin +cos 2
Given that the point (70,-24) is on the terminal side of an angle, heta , find the exact value of the following: sin( heta )= cos( heta )= tan( heta )= csc( heta )= sec( heta )= cot( heta )= Given that the point (70, -24) is on the terminal side of an angle, 0, find the exact value of theā¦
Use the right triangle and the given information to solve the triangle. D = 4, B = 34Ā°, find a, c, and A. Use the right triangle and the given information to solve the triangle. b = 4. B = 34. Find a, c, and A.
(a) Complete the statements below about the graphs of y=x+(5)/(6) and y=x. Compared to the graph of y=x, the graph of y=x+(5)/(6) is Choose one Compared to the graph of y=x, the graph of y=x+(5)/(6) intersects the y-axis at 5 (a) Complete the statements below about the graphs of y=x+ and y=xā¦
Temperature over a day can be modeled as a sinusoidal function. Suppose the highest temperature of 61 degrees (Fahrenheit) is reached at 2 in the afternoon, and 51 degrees is the average temperature. Assuming t is the number of hours since 2 pm, find an equation for the temperature.
If tan(Īø) = 24/10, 0 ā¤ Īø ā¤ Ļ/2, then sin(Īø) equals cos(Īø) equals 24/26. If tan(0), then sin() equals cos equals.
Part 2 of 7 Graph the hyperbola. Give the domain, range, center, vertices, foci, and equations of the asymptotes. 16x^(2)-81y^(2)=1296 Part2of7 K< Graph the hyperbola.Give the domain,range,center,vertices,foci,and equations of the asymptotes. 162-81y2=1296
QUESTION 11 Moscow's longitude is 37 degrees East. What is the standard meridian for Moscow? 135 degrees East 60 degrees East 30 degrees East 45 degrees East QUESTION11 Moscow's longitude is 37 degrees East. What is the standard meridian for Moscow? O135degrees East O60 degrees East O30 degreesā¦
Find the exact value of the expression. Do not use a calculator 2cos(pi )/(3)-3tan(pi )/(4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 2cos(pi )/(3)-3tan(pi )/(4)= (Simplify your answer. Type an exact answer, using radicals as needed.ā¦
Find the exact value of each of the remaining trigonometric functions of Īø. cosĪø = -(7)/(25), Īø in quadrant III sinĪø = tanĪø = cotĪø = secĪø = cscĪø = Find the exact value of each of the remaining trigonometric functions of Īø. 7 cosĪø = 25, Īø in quadrant III sinĪø = tanĪø = cotĪø = secĪø = cscĪø =
By graphing the function, visually estimate its domain and range. t(x)=sqrt(8-x) A. Domain: [8,infty ); range: [8,infty ) B. Domain: (-infty ,8]; range: [0,infty ) C. Domain: (-infty ,infty ); range: (-infty ,infty ) D. Domain: (-infty ,8]; range: (-infty ,8] By graphing the function, visuallyā¦
Assume log_(b)x=0.55 and log_(b)y=0.45. Evaluate the following expression: log_(b)(x/y) Assume log_(b)x=0.55 and log_(b)y=0.45. Evaluate the following expression: x log_(b)y
Use fundamental trigonometric identities to find the values of the functions. Simplify your answers as much as possible. Given tan heta =-2 for heta in Quadrant II, find sec heta and cot heta . Part: 0 / 2 Part 1 of 2 sec heta = Use fundamental trigonometric identities to find the values ofā¦
Find the real and complex zeros of the function f(x) = x^5 - x^4 + 18x^3 - 18x^2 + 81x - 81. Express your answer as a list separated by commas. Do not use a plus-minus sign (+-) in your answer; instead, list the zeros separately. Do not include "x=" in your answer. Provide your answer below:
a) A bicycle's wheels are 36 inches in diameter. If the bike is traveling at a rate of 25 miles per hour, find the angular speed of the wheels in degrees pet second. Round your answer to 2 decimal places. 1.aA bicycle's wheels are 36 inches in diameter.If the bike is traveling at a rate of 25ā¦
Find all solutions of the trigonometric equation in terms of integer k and the solutions in a single period [0,2pi ). Express answer in radians. csc(t)=-2 (Give your answer in the form of a comma-separated list if needed. Express numbers in exact form. Use symbolic notation and fractions whereā¦
Find the center and radius of the circle with the given equation. Sketch the circle. x^2 + (y - 2)^2 = 4 Find two functions f and g such that (f@g)(x) = h(x). (There are many correct answers. Use non-identity functions for f(x) and g(x).) Need Help? Find two functions f and g such that (f oā¦
Find the reference number for t = -85.744. Round your response to 3 decimal places. ncreaconp Find the reference number for -85.744. Round your response to 3 decimal places.
LARPCALC11 5.3.029. Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer) 2cos^2(x) + cos(x) - 1 = 0
Solve the inequality algebraically. Graph the solution set. Verify your results using a graphing utility. |2x+1|-9>=-3 2+193 Solve the inequality algebraically.Graph the solution set.Verify your results using a graphing utility
The terminal point $(-frac{12}{13},frac{5}{13})$ 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 yourā¦
The graph above is a transformation of the function f(x)=(1)/(x) Write an equation for the function graphed above g(x)=ā» 4 The graph above is a transformation of the funetion fc T Write an eguation for the function graphed above g(x)
Calculate the average rate of change of the function f(x)=6mx+b, where m and b are constants, on the interval a,a+h (assuming h>0 ). Simplify your answer as much as possible. (Express numbers in exact form. Use symbolic notation and fractions where needed. Simplify your answerā¦
Use a graphing calculator to evaluate the sum. (Round your answer to six decimal places.) sum_(j=2)^(13) (1)/(j^(2)+3) Use a graphing calculator to evaluate the sum. (Round your answer to six decimal places.) 1 :2+3
State the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. State the open intervals over which the function is (a) increasing, (b) decreasing and(c) constant. KK 3[363 X -p
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(7pi )/(6) N an example Get more help . MacBook Pro Use the x.y coordinates in the figure to find the value of the trigonometricā¦
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(11pi )/(6) (-(1)/(2),-(sqrt(3))/(2))_((-(1)/(2),(sqrt(3))/(2)))>((sqrt(3))/(2),(sqrt(3))/(2)) Select the correct choice belowā¦
Let (-4, -5) be a point on the terminal side of Īø. Find the exact values of sinĪø, secĪø, and tanĪø. Let -4 - 5 be a point on the terminal side of Find the exact values of sin, sec, and tan. sinĪø = -5/ā41 secĪø = -4/ā41 tanĪø = -5/-4 = 5/4
Find the quotient below. Leave the result in polar form. (16(cos155deg +jsin155deg ))/(4(cos55deg +jsin55deg )) What is the quotient? (cos,+jsin^(')) (Simplify your answers. Type integers or decimals. Use angle measures greater than or equal to 0 and less than 360 .) Find the quotientā¦
Write the augmented matrix of the system and use it to solve the system using row reduction, clearly showing your work. Answers using your calculator will not be accepted for this question - I want to see you can do it by hand. If the system has an infinite number of solutions, express them inā¦
The function, f(x) = 5 - x^2, is a one-to-one function. True False The function, f(x) = 5 - 2, is a one-to-one function. True False
The difference between the equilibrant and resultant vector is: - The resultant vector is twice as long. - They point in opposite directions. - Nothing. - The equilibrant vector is twice as long.
Find an equation for the ellipse. Graph the equation. center at (0,0); focus at (0,15); vertex at (0,17) Type the left side of the equation of the ellipse. =1 188 view Que KK Find an equation for the ellipse. Graph the equation center at (0,0; focus at (0,15;vertex at (0,17) Type the left sideā¦
The height of a rider on a Ferris wheel can be modeled using a sinusoidal function. For example, the height of a rider on a certain Ferris wheel that makes a rotation every 40 seconds could be modeled by: y = 8sin[(Ļ)/(20)(t-10)] + 12, where t is the time in seconds. If this Ferris wheel speedsā¦
8 Question: Which of the following would be acceptable answer formats according to the expanded answer tip below? DNE 0.14290.(141)/(71)-(6)/(7)... Question: Which of the following would be acceptable answer formats according to the expanded answer tip below? DNE 0.1429 0.141/71-6/7... Useā¦
What are the amplitude, frequency, and period of the following? a. 6n(6t) Amplitude = Frequency = Period = a. 5sin(7t) Amplitude = Frequency = Period = a. -2sin(6pi t) Amplitude = Frequency = Period = a. 2sin((t)/(4)) Amplitude = Frequency = Period = What are the amplitude, frequency, andā¦
Correct Use the suggested substitution to write the expression as a trigonometric expression. Simplify your answer as much as possible. Assume 0<=(pi )/(2) sqrt(36-4x^(2)),(x)/(3)=sin( heta ) Correct Use the suggested substitution to write the expression as a trigonometric expression.Simplifyā¦
Find the real and complex zeros of the function f(x) = x^4 + 7x^3 + 12x^2 + 14x + 20. Express your answer as a list separated by commas. Do not use a plus separately. Do not include "x=" in your answer.
Solve the equation for u : (1)/(5)(k-u)=ut+5y Solve the equation for u: (k -u)=ut+5y
Find the exact value of the expression without using a calculator. sin((1)/(3)pi )cos((5)/(6)pi )= Find the exact value of the expression without using a calculator 1 5 sin 13 TT cos
Find the exact value of cot(-(4pi )/(3)). Find the exact value of cot 4TT 3
Find another representation, (r, heta ), for the point under the given conditions. (6,(pi )/(4)),r<0 and 2pi < heta <4pi Find another representation, (r, O), for the point under the given conditions JT 7 r<0and2<0<4
Assume log_(b)x=0.36, log_(b)y=0.53, and log_(b)z=0.85. Evaluate. log_(b)(ā(xy))/z log_(b)(ā(xy))/z = Assume logx=0.36, log py=0.53, and logbz=0.85. Evaluate ā(xy) logb xy logb
Determine the x - and y-intercepts for the given function. Write your answer as an ordered pair. f(x)=3x-21 If there is more than one answer, separate your answers with commas. Select "None" if appropriate. Part 1 of 2 x-intercept(s): (ā»,ā»),ā»,ā»,dots, None Determine the x- and y-intercepts forā¦
Find the polynomial of the specified degree whose graph is shown. Degree 4 P(x)= Find the polynomial of the specified degree whose graph is shown Degree4 Px y 36 32 28 65 44434241 4 1 2 5 6
A vector with magnitude 5 points in a direction 100 degrees counterclockwise from the positive x axis. Write the vector in component form, and show your answers accurate to 3 decimal places. Vector = A vector with magnitude 5 points in a direction 100 degrees counterclockwise from the positiveā¦
A function f is given. f(x) = x^3 + 3x^2 - 4x - 12 (a) Use a graphing device to draw the graph of f. Find the domain and range of f. (Enter your answers using interval notation.) Domain: (-ā, ā) Range: (-ā, ā) Increasing: Decreasing: Need Help? Viewing Saved Work Revert to Last Response Aā¦
Without using a calculator, compute the sine and cosine of (5pi )/(6) by using the reference angle. What is the reference angle? radians. In what quadrant is this angle? (answer 1,2,3, or 4 ) sin((5pi )/(6))= cos((5pi )/(6))= (Type sqrt(2) for sqrt(2) and sqrt(3) for sqrt(3).) 5TT Without usingā¦
a. Explain how to derive the derivative of the function f(x)=secx two different ways. (Hint: They are similar but use different rules.) [2] b. Derive the derivative using one of the two ways. [2] 17. a. Explain how to derive the derivative of the function f(x) = sec x two different ways. (Hint:ā¦
By completing the square, the expression x^2 + 14x + 108 equals (x + 7)^2 + 7 where A = 7 and B = 7.
KSU D2L Brightspace Homepage - Precalc Graphs and Functions Inverse functions: Quadratic, square root Domain of f^(-1): Your answer is incorrect. Consider the function f(x) = sqrt(x + 5) - 10 for the domain [-5, ā). Find f^(-1)(x), where f^(-1) is the inverse of f. Also state the domain ofā¦
Answer the questions about the following function. f(x) = (x + 11) / (x - 4) (a) Is the point (3, 6) on the graph of f? (b) If x = 2, what is f(x)? What point is on the graph of f? (c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f? (d) What is the domain of f? (e) List theā¦
The reference angle of (12)/(5)pi radians is The reference angle of 1 radians is
heta Over the domain 0<= heta <=2pi , the equation sin2 heta =-(sqrt(3))/(2) has solutions of: A. heta =(2pi )/(3),(4pi )/(3) B. heta =(4pi )/(3),(5pi )/(3) C. heta =(2pi )/(3),(5pi )/(6),(5pi )/(3),(11pi )/(6) D. heta =(7pi )/(6),(4pi )/(3),(5pi )/(3),(11pi )/(6) /3 has solutions of:ā¦
When running a half-marathon (13.1 miles), it took Bryce 8 minutes to run from mile marker 1 to mile marker 2 , and 19 minutes to run from mile marker 2 to mile marker 4 . a. How long did it take Bryce to run from mile marker 1 to mile marker 4 ? When running a half-marathon (13.1 miles), itā¦
Find the exact value of the expression without using a calculator. sin((1)/(4)pi )+2cos((1)/(4)pi )= Find the exact value of the expression without using a calculator. C1 sin +2cos
If f(x)=x^(2)+3x, what is the net change between x=1 and x=4 ? 2) If f(x) = x2 + 3x, what is the net change between x = 1 and x = 4?
Problem 14: (first taught in lesson 57) Express this product as a sum containing only sines or cosines. Select the choice that matches your answer. sin(alpha )/(2)sin2alpha After you pick your answer press GO. A B c E (1)/(2)cos(5alpha )/(2)+(1)/(2)cos(3alpha )/(2) (G0) (first taught inā¦
Collect like terms and write in descending order. -2m^(7)+11m^(6)-3m^(5)+9m^(7)-3m^(6) Collect like terms and write in descending order.
Find the exact value of each of the remaining trigonometric functions of Īø. cosĪø = -(3)/(5), Īø in quadrant III sinĪø = tanĪø = cotĪø = secĪø = cscĪø = Find the exact value of each of the remaining trigonometric functions of Īø. Īø in quadrant III cosĪø = 3/5 sinĪø = tanĪø = cotĪø = secĪø = cscĪø =
At a small airport, Runway 11-29 is 4,100ftlong and 75ft wide. What is the area of the runway (in ft^(2) )? (Simplify your answer completely.) imes ft^(2) Need Help? At a small airport, Runway 11-29 is 4,100 ft long and 75 ft wide. What is the area of the runway (in ft2)? (Simplify your answerā¦
Suppose f(x)=(x)/(x+5) and g(x)=2x-9. The domain of f@g is xin (Express your answer in interval notation, using U to indicate a union of intervals) Suppose f()= andg=2x-9. +5 The domain of f o g is (Express your answer in interval notation, using U to indicate a union of intervals)
Find an angle Īø with 0Ā° < Īø < 360Ā° that has the same: Sine as 80Ā°: Īø = degrees Cosine as 80Ā°: Īø = degrees Find an angle with 0-360 that has the same Sine as 80 degrees Cosine as 80 degrees
cosĪø = -(12)/(13), Īø in quadrant II 12 cosĪø = 0 in quadrant II 13
If heta =-(pi )/(4), then sin( heta )= cos( heta )= TT then 4 If0= sin(0)= cos0
Find the sum. sum_(i=1)^4 i2^(i) Find the sum. 4 D i2i i =1
Find the inverse of the function. f(x)=10-5x^(3) Hint: The cube root is the same as an exponent of (1)/(3), so for oot(3)(19x), you could type in (19^(**)x)^(^(^()))((1)/(3)). Remember your parentheses! Find the inverse of the function fx=10-5x3 Remember your parentheses!
Solve the inequality. (Enter your answer using interval notation.) (3x+5)/(x-1)<2 Solve the ineguality.(Enter-your answer using interval notation.) 3x+5 <2 X-1
Let heta be an angle in quadrant II such that cot heta = -(3)/(7). Find the exact values of sin heta and sec heta. sin heta = sec heta = Let be an angle in quadrant II such that cotĪø = Find the exact values of sinĪø and secĪø.
Solve the following equation. [Hint Change log_(36)x to base 6.] log_(6)(x+9)-log_(36)x=1 Solve the following equation. [Hint: Change log 36 to base 6.] log6x+9-log36x=1 K
For the function y=4sin((pi )/(2)x)+2 The amplitude is: the minimum is (just the numerical value) The period is: 2 3 For the function A y=4sin)+2 The amplitude is: A formation the minimum is (just the numerical value) The period is:
erin runs a bakery and is deciding on the price of their pastries by taking into account their expensee. the first 48 brownies cost in $125. each additional dozen brownies costs erin $24. let B represent the number of brownies that erin makes. let c represent erins costs of making B brownies.ā¦
b. Write an inequality using absolute value notation to represent all possible numbers, x, that are less than 2 units away from 7 on the number line. |x - 7| < 2 c. Write the statement in part (b) using mathematical notation but without using an absolute value. Simplify the inequality. 5 < x <ā¦
Use fundamental trigonometric identities to find the values of the functions. Simplify your ans Given tan heta =-5 for heta in Quadrant II, find sec heta and cot heta Use fundamental trigonometric identities to find the values of the functions. Simplify your ans Given tan=-5for 0in Quadrantā¦
LARCOLALGRMRP7 3.1.044. Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: (-1/2, -1); Point: (0, -5/4) y=
Using DeMoivre's theorem, find (-5-2j)^(5). (-5-2j)^(5)=(cosdeg +jsindeg ) (Simplify your answers. Round to two decimal places as needed. Type any angle measures in degrees. Use angle measures greater than or equal to 0 and less than 360 .) Using DeMoivre'sā¦
Find the pH of a solution whose hydrogen ion concentration is: (0.5pts) 1.Find the pH of a solution whose hydrogen ion concentration is: (0.5pts)
Describe how the graph of the function g(x)=f(x+2)-6 a transformation of the original function f. Describe how the graph of the function g ()= f (+2) -6 a transformation of the original function f.
Which of the following expressions is equivalent to the expression csc heta cos^(3) heta tan heta ? (A) sin heta (B) cos heta (C) 1-sin^(2) heta (D) 1+sin^(2) heta J.Which of the following expressions is equivalent to the expression csccos'tan (A)sin (B)cos C)1-sin (D)1+sin
Solve the following logarithmic equation. Express irrational solutions in exact form. 2log_(6)(x-4)+log_(6)9=2 Rewrite the given equation without logarithms. Do not solve for x. Solve the following logarithmic eguation.Express irrational solutions in exact form KK 210g6x-4)+l0g69=2 Rewrite theā¦
Find the exact value of the expression cos210deg Find the exact value of the expression cos 210
Use the reference angle to find the exact value of the expression. sin1575deg Use the reference angle to find the exact value of the expression sin 1575
Evaluate the following expressions. Give an exact answer in radians. (a) sin^(-1)(-(sqrt(3))/(2))= (b) sin^(-1)(0)= (c) sin^(-1)((sqrt(3))/(2))= Evaluate the following expressions. Give an exact answer in radians. 13 (b) sin-1(0)= (c) sin-1 2
Consider the following function. f(x)=5|x|-|x-2| Part 1 - Piecewise-defined Use the definition of absolute value to rewrite f as a piecewise-defined function. f(x)={( if x<),( if ||<=x<),( if x>=):} Part 2 - Graphing Part 3 - Zeros Find the zeros of f, if any exist. (If an answer does notā¦
Suppose f(x)=4x+5 and g(x)=4x^(2)+4x. Selecting from the options available (enter A for A, etc.), match equivalent expressions. f@g g@f f@f g@g A. 64x^(4)+128x^(3)+80x^(2)+16x B. 64x^(2)+176x+120 C. 16x^(2)+16x+5 D. 16x+25 Suppose f=4+5 and g=42+4.Selecting from the options available(enter Aā¦
a = 1/7
For the following exercises, use the given vectors a and b to find and express the vectors a+b, 4a, and -5a+3b in component form. 83. a = -1, -2, b = -5, 6, -7 84. a = 3, -2, 4, b = -5, 6, -9 85. a = -k, b = -i
Find sin(Īø), if cos(Īø) = -(1/4), with Īø in quadrant II. Give a reduced answer in exact form. sin(Īø) = sqrt(15)/4 Find sin(Īø) if cos(Īø) = 0. with Īø in quadrant II. Give a reduced answer in exact form sin(Īø) = 1
Given the triangle below: Set up a trigonometric equation to solve for x : trig(xdeg )= ratio, where: trig= ratio = Now solve for x to the nearest degree: x= Given the triangle below: X 9 11 Set up a trigonometric equation to solve for : trig(x)=ratio,where: trig [Select] ratio= [Select] Nowā¦
Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 5|x-6|-7=2 x= + Recall an equation of the form |A|=B has solutions A=B or A=-B as long as B>=0. Is the given equation isolated on one side? How is rewriting the equation with the absoluteā¦
Find b and c so that y = 16x^2 + bx + c has vertex (-4,3). b = c =
Find cos heta if heta is in quadrant I and sin heta =(7)/(8). Provide your answer below: cos heta = Find cos if 0 is in quadrant I and sin 0 = 7 8 Provide your answer below: cos=
Use a reference triangle to find the given angle. cos^(-1)((sqrt(3))/(2)) cos^(-1)((sqrt(3))/(2))= (Type an exact answer in terms of pi .) Use a reference triangle to find the given angle COST (Type an exact answer in terms of x
Note: Triangle may not be drawn to scale. Given the triangle above, answer the following: Round all answers to 3 decimal places as needed. B = 65 degrees a = 5 c = 25
Write an equation for the function graphed above. y= K LY 2 1 Write an eguation for the function graphed above y=
Rewrite cot59.9deg in terms of its cofunction. cot59.9deg = Rewrite cot 59.9in terms of its cofunction cot59.9
2-25. A lawn mower is pushed up a 15deg slope by a 20 -lb force. Find the component acting parallel to the slope (Figure P2-25). FIGURE P2-25 2-25.A lawn mower is pushed up a 15 slope by a 20-Ib force.Find the component acting parallel to the slope(Figure P2-25) 20Ib slopeā¦
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100000 . If there are currently 76000 people living in the town, how long do they have before the new school will beā¦
Use identities to rewrite the following expression as sin heta ,cos heta ,tan heta ,csc heta ,sec heta , or cot heta . (-cot^(2) heta -cos^(2) heta +csc^(2) heta )/(sin heta ) Use identities to rewrite the following expression as sin 0, cos 0, tan 0, csc 0, sec 0, or cot . -cot2-cos2+csc2 sin o
Use the triangle shown on the right and the given information to solve the triangle. a = 5, A = 35Ā°; find b, c, and B.
Section 3 Question 21, 2.3.91 Part 1 of 3 State the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. Section 3 Question 21,2.3.91 Part 1 of 3 State the open intervals over which the function is (a) increasing,(b) decreasing and (c) constant. Ayā¦
Find a polynomial function with real coefficients that has the given zeros: 4 and -3i and f(1) = 60.
Solve the inequality algebraically. Express your answer using set notation or interval notation Graph the solution set Verify your results using a graphing utility |6x-5|>=0 Rewrite the inequality without the absolute values. Select the correct choice below and, if necessary, fill in the answerā¦
c. -5.1 is some number of times as large as 6 . What is the number? c.-5.1 is some number of times as large as 6.What is the number?
Solve the equation. Write the solution set with the exact solutions. log_(3)(4z-9)=1+log_(3)(z+7) Solve the eguation. Write the solution set with the exact solutions 1og3(4z-9)=1+1og3 (z+7)
Prove the following identity.. show your work and (sinx-cosx)^(2)+(sinx+cosx)^(2)=2 Prove the following identity. show your work anc sin-cos+sinx+cosx=2
y=
Chester hopes to earn $1200 in interest in 2.5 years time from $60,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds monthly, he needs to determine the annual interest rate such an account would have to offer for him to meet hisā¦
Find the exact value of each of the remaining trigonometric functions of Īø. cosĪø = -(4)/(5), Īø in quadrant II sinĪø = tanĪø = cotĪø = secĪø = cscĪø = Find the exact value of each of the remaining trigonometric functions of A. 4 cosA = 0 in quadrant II sinA = tanA = cotA = secA = cscA =
A radioactive substance decays according to A = Aāe^(-0.0048t), where Aā is the initial amount and t is the time in years. If Aā = 560 grams, find the time for the radioactive substance to decay to 185 grams. Round your answer to two decimal places, if necessary.
Use interval notation to represent all values of x satisfying the given conditions. y=8-(x+9)+2x and y is at least 7 Use interval notation to represent all values of x satisfying the given conditions y=8-(x+9)+2x and y is at least 7
Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.) domain range Use the graph to find the indicated function values. (a) f(2)= (b) f(1)= (c) f(3)= (d) f(-1)= Need Help? y 12 11 10 6 8 7 6 4 3 21 y=f(x -5-4-3 -2 -11 1 3ā¦
Usain is running at 11 meters per second. As Usain's time elapsed changes from 1 to 3 seconds, what is Usain's corresponding change in distance? Usain is running at 11 meters per second. As Usain's time elapsed changes from 1 to 3 seconds, what is Usain's corresponding change in distance?
Rewrite cos((7pi )/(5)) in terms of the appropriate cofunction. 7JT Rewrite cos 5 in terms of the appropriate cofunction
Find the exact value of each expression. (a) log_(7)(sqrt(7)) Find the exact value of each expression (a)1og(V7)
The midline is y=2, so D=2. The amplitude is 1, so A=1 or -1. The function is at the midline when x=-2 and is increasing there, so we can write this with A=-2 and a horizontal shift of 1 unit to the right or with A=-2 and no horizontal shift. The period is 2 units. -(2Ļ)/(B)=2 so B=Ļ. With aā¦
Another way of writing 2^(-3)=(1)/(8) is a. log_(2)(-3)=8 c. ,log_((1)/(8))2=-3 b. log_(-3)2=(1)/(8) d. ,log_(2)(1)/(8)=-3 I a. 10g-3=8 1og2=-3 1 1 10g -3 b. d.
a. Carolyn starts running and Evan starts running 4 seconds later. Let t represent the number of seconds since Carolyn started running. Write an expression (in terms of t ) that represents the number of seconds Evan has been running. b. You are 26 meters west of a stop sign (-26 meters east ofā¦
Let heta be an angle in quadrant IV such that sin heta = -(3)/(4). Find the exact values of sec heta and tan heta. Find the exact values of secĪø and tanĪø.
Solve the right triangle shown in the figure. A=51.4deg ,c=50 a. What are the lengths of the sides? a~~, (Round to the nearest hundredth as needed.) Solve the right triangle shown in the figure B A=51.4c=50 a 6 c a. What are the lengths of the sides ar (Round to the nearest hundredth asā¦
A restaurant at the top of a tall building in Seattle rotates 0.96 revolutions every hour. Andrea is sitting 18.3 meters from the center of the restaurant near a window. (a) How many radians does Andrea turn in 114 minutes? Round your answer to two decimal places. radians (b) How far doesā¦
Write the equation of the tangent line to the curve y=x^(3)+8x-1 at (1,8). The equation of the tangent line is The equation of the tangent line is
Find the exact value of the trigonometric function. cos(180deg ) pi help (numbers) Find the exact value of the trigonometric function. cos(180) help(numbers)
A toy car travels around a circular track as shown in the figure. As the toy car travels around the track, its distance from the wall can be modeled by a graph where the y-axis represents the distance between the car and the wall, and the x-axis represents time. Which of the following graphsā¦
In the figure, /bar (CD)=15(,)/(b)ar (DE)=8,tanalpha =(4)/(3), and sineta =(3)/(5). Find the lengths of a. /bar (AC) b. /bar (AD) c. /bar (DB) d. /bar (BE) e. /bar (AB) 3 a.AC B b.AD C.DB 15 D E d.BE ARR
Suppose the function determines the circumference of the circle in cm, C, given its radius length in cm, r. a. Write a function formula for f. f(r) = 2Ļr b. What does f(12) represent in this context? Select all that apply. The circumference (in cm) of a circle whose radius is 12 cm A circleā¦
Based on the table below, able[[x,0,1,2,3,4,5,6,7,8,9],[f(x),23,15,22,1,100,11,71,2,12,50]] Evaluate f(1) : f(1)= Solve f(x)=2 : x= Question Help: Video Based on the table below x f(x) 0 23 1 15 2 22 3 1 4 100 5 11 6 7 8 71 2 12 9 50 Evaluate f(1): f(1= Solve f(=2: x= Questionā¦
Use the graph of each function to identify its domain and its range. A) B) (Problem 1-20 Points Use the graph of each function to identify its domain and its range. A) f=+2 B) f(x= 4x+3 2x-
Write an equation for a function that has a graph with the given characteristics. The shape of y=sqrt(x) that is first reflected across the Y-axis, then shifted left 7 units. Write an equation for a function that has a graph with the given characteristics The shape of y = / that is firstā¦
A plane travels at the speed of 162k(m)/(h) in a direction of 138deg from Denver for 3 hours. How far east of Denver is the plane after this time? Note that North is 0deg and the direction angle is measured clockwise from North. Round your answer to two decimal places. Keypad Keyboardā¦
Let f(x) = 2x + 1, g(x) = x^2 - x - 6, and h(x) = (x + 7)/(x - 7). Find and simplify the indicated composite function: (h @ h)(x) = (8x - 42)/(-6x + 56) Find the domain. (Enter your answer using interval notation.) Find and simplify the indicated composite function: Y (h o h)(x) = 8x - 42ā¦
Find the value of y assuming that the point (12,y) is on the terminal side of heta in quadrant I and cos heta =(12)/(37). 12 Find the value of y assuming that the point (12,y) is on the terminal side of in quadrant I and cos = 37
he function below has at least one rational zero. Use this fact to find all zeros of the function. g(x)=5x^(4)+17x^(3)+15x^(2)+x-2 function below has atleast one rational zero Use this fact to find all zeros of the function. gx=5x4+17x3+15x2+x-2 If there is more than one
Please solve all the parts of the problem, thank you. Problem 1. A cyclist travels 1000 meters in exactly 3 minutes. The wheels of the bicycle have a diameter of 0.80 meters. (a) What is the average speed of the bicycle? (b) What is the average angular velocity of the bicycle's wheels? (c) Howā¦
Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. log(sqrt(x^(3)y^(-8))) log(sqrt(x^(3)y^(-8)))= Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as aā¦
Find the product below. Leave the result in polar form. [2(cos110deg +jsin110deg )][7(cos100deg +jsin100deg )] What is the product? (cosdeg +jsindeg ) (Simplify your answers. Type integers or decimals. Use angle measures greater than or equal to 0 and less than 360 ) Find the productā¦
Simplify the following expression, writing your answer with only positive exponents. ((3m^(2)n^(-1))/(n^(2)))^(3) Simplify the following expression,writing your answer with only positive exponents 3m2n-1
Find all exact solutions to the equation on [0, 2Ļ). cos^2(x) = cos(x) Find all exact solutions to the equation on [0, 2Ļ) cos^2(x) = cos(x)
Find the coordinates of the point on the unit circle corresponding to t=(11pi )/(6). Enter exact, symbolic values, for example "sqrt(2)/2." x= y= 117T Enter exact,symbolic values,for example"sqrt2/2." =X y=
Find the length s of the arc that subtends a central angle of measure 30deg in a circle of radius 16m. (Round your answer to two decimal places.) s=,m Find the length s of the arc that subtends a central angle of measure 30 in a circle of radius 16 m.(Round your answer to two decimalā¦
Solve for x in terms of a and b. logx=-4(loga+logb)+10logb^(8)+3(logb-loga) Solve for in terms of a and b log x=-4(log a+log b)+10log b8+3(log b- log a)
Question Find an angle A that is coterminal with an angle, in radians, measuring -(8pi )/(3), where 0<=A<2pi Question Find an angle A that is coterminal with an angle,in radians,measuring
Determine the tangent and cotangent of heta given the following. Round your answer to three decimal places, if necessary. sin( heta )=-0.2588 and cos( heta )=0.9659 Determine the tangent and cotangent of O given the following. Round your answer to three decimal places,ifā¦
Add the following and express your answer in appropriate scientific notation: (9.3 imes 10^(25))+(1.4 imes 10^(23)) Add the following and express your answer in appropriate scientific notation: (9.3 1025) + (1.4 1023)
Assume logābāx=0.78 and logābāy=0.24. Evaluate the following expression: logābā(x)/(y) Assume log pā=0.78 and log pįµ§=0.24. Evaluate the following expression: log bįµ§
Consider the following: P(x) = x^3 - 8x^2 - 6x + 48, c = 8 Show that the given value of c is a zero of P(x). This answer has not been graded yet. Find all other zeros of P(x). (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x = Consider theā¦
Find the area of a sector of a circle with a central angle of 130deg and a radius of 26cm. cm^(2):: help (numbers) Find the area of a sector of a circle with a central angle of 130 and a radius of 26 cm. 7624.44 cm2 :: help (numbers)
solve graphically and analytically. Show how you got the angles to use for either the cosine or sine law. F (given 30N) into AB and AC. Īø = 23Ā° and Ļ = 35Ā° F (given 30 N) into AB and AC. Īø = 23 and Ļ = 35
Write an explicit formula for a_(n), the n^(th ) term of the sequence 125,25,5,dots Write an explicit formula for an, the nth term of the sequence 125, 25, 5, ...
If f(x)=log4x and g(x)=x^(2)-2, which of these expressions is equivalent to f(g(4)) ? a. ,log4+log14 b. ,log^(2)16-2 c. ,log^(2)14 d. ,log4 imes log14 19.If x=log 4x and gx=x2-2,which of these expressions is equivalent to fg4) a. log4+log14 b. log16-2 c. log14 d. log4log 14
cot((13pi )/(6))=ā» (Simplify your answer, includin 13T cot 6 (Simplify your answer, includin
(a) Find an angle between 0 and 2pi that is coterminal with (23pi )/(4). 23TT (a Find an angle between 0 and 2t that is coterminal with 4
In the right triangle below, angle A=30 degrees; side c=8 feet. Find the remaining sides and angles. Give the exact answer, not the decimal answer. answer,not the decimal answer. B a A b c
Use the Law of Cosines to solve for the following triangles: 1.Use the Law of Cosines to solve for the following triangles: C 16in. 12 in. A 1. 18 in. B B 10mm C 15mm 2. A
(a) What is the period of each function (in months)? period of H(t),12 months period of L(t),12 months a What is the period of eachfunction (in months)? period of Ht) 12 months period of(t) 12 months
Solve the right triangle. Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle. Solve the right triangle. 405 /00 Findā¦
Hanna works a total of 50 hours each week at two part-time jobs. She works at a restaurant, where she earns $11 per hour, and as a freelance blog editor, where she earns $16 per hour. a. Write a function f that inputs the number of hours Hanna works at the restaurant in a week (x) and outputsā¦
Complete the square of the given quadratic expression. Then, graph the function using the technique of shifting. f(x) = 3x^2 - 36x + 111 Complete the square by entering the correct numbers into the expression below. f(x) = 3(x - 6)^2 + 3 Shifting Complete the square of the given quadraticā¦
If heta =(10pi )/(3), then sin( heta )= cos( heta )= 10T If0= then 3 sin0= cos0=
Sketch the graphs of f and g in the same coordinate plane. (Include two full periods.) f(x)=cos(x) g(x)=cos(x+(pi )/(2)) Sketch the graphs of f and g in the same coordinate plane.(Include two full periods.) f(x=cos(x) g(x=cos(x+
Find the domain of y=log(5+2x). The domain is: Question Help: Video Find the domain of y=log(5+ 2) The domain is: Question Help: Video Submit Question
Determine the amplitude and period of the following function. Then, graph the function. y=-4sin(1)/(2)x The amplitude is 4 . (Simplify your answer.) The period is (Type an exact answer using pi as needed. Use integers or fractions for any numbers in the expression.) Determine the amplitude andā¦
The values of a function, Ga(x), are given in the table below. Determine the tables that define the new functions Ga(x-4),Ga(x)+4, and Ga(x+2)-5. able[[x,Ga(x) 4. The values of a function, Ga,are given in the table below. Determine the tables that define the new functions Gax-4,Gax+4,andā¦
Example: Reynold's Metal Company manufactures aluminum cans in the shape of a cylinder that is required to have a volume of 400 cubic inches. Express the amount A of material required to make the can as a function of the radius r of the cylinder. Example: Reynold's Metal Company manufacturesā¦
Write the complex number in rectangular form. 9cis135deg Write the complex number in rectangular form 9cis135
(c) Find the exact solution of the following equation on the interval pi ,2pi . (1-tan(t))^(11)=0 (c Find the exact solution of the following equation on the interval [t, 2] (1 - tan()11= o
Find the domain of the composite function (f@g)(x). (Enter your answer using interval notation) f(x) = 6x^2 + 7 g(x) = ā(x) Find the domain of the composite function (f o g)(x). (Enter your answer using interval notation) f(x) = 6x^2 + 7 g(x) = āx
Use synthetic division to divide x^(3)+9x^(2)+26x+30 by x+3 Give your answer in the form quotient +( remainder )/( divisor ) if necessary. answer = Use synthetic division to divide 3+92+26+30 by +3Give your answer in the form remainder quotient + if necessary. divisor 9 26 30 answer=
Put the equation that is in general form: y=x^(2)-16x+60 into standard vertex form: y=(x-h)^(2)+k : Answer: y= Put the equation that is in general form: y= 2- 16+ 60 into standard vertex form: y=(-h)+k: Answer:y=
Find the solutions of the equation in the interval -2pi ,2pi . Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.) sec(x)=-sqrt(2) Find the solutions of the equation in the interval [-2, 2]. Use a graphing utility to verify your results. (Enter yourā¦
Which factor could be part of the function so that f(x) is increasing as x approaches negative and positive infinity? Select all that apply. Select all that apply: 0.2x, 3x, -5x, (x + 3), (2xĀ² ā 3), f(x) = (x+3)(x +8)(x ā 4)
The average rate of change of the function f(x) = 8ā(x) on the interval [a, a+h] (assuming a ā„ 0 and h > 0) is given by: ( f(a+h) - f(a) ) / h = [ 8ā(a+h) - 8ā(a) ] / h
x ā (-ā, -4] U [11, ā)
Consider the statement |x - 6| < 1.5. What is the meaning of this statement? Select all that apply.
Question Find an angle A that is coterminal with an angle, in radians, measuring -(29pi )/(6), where 0<=A<2pi . Give your answer as an exact answer involving pi , if necessary.
The questions below refer to the linear functions shown in the plot below. The function f(x)=m_(f)x+b_(f) is shown with a solid line, the function g(x)=m_(g)x+b_(g) is shown with a dashed line, and the function h(x)=m_(h)x+b_(h) is shown with a dotted line. (a) Determine which y-intercept , andā¦
This question: 1 point(s) possible (a) Find the rational zeros and then the other zeros of the polynomial function f(x) = x^3 + 5x^2 - 2x - 10, that is, solve f(x) = 0. (b) Factor f(x) into linear factors. Question 2 of 5 This question: 1 point(s) possible (b) Factor f(x) into linear factors.
Write an equation for a rational function with the given characteristics. Vertical asymptotes at x=-2 and x=5,x-intercepts at (-3,0) and (1,0), horizontal asymptote at y=-5 Enclose numerators and denominators in parentheses. For example, (a-b)/(1+n). Include a multiplication sign betweenā¦
The amount, in grams, of a radioactive element can be predicted according to the formula Z(t)=750(0.94)^(t) where t is years after 2020. Given this information what is the half life of the element? Round your answer to the nearest two decimal places. The amount, in grams,of a radioactiveā¦
(7x+2)^(2)-2(7x+2)-24=0 Make an appropriate substitution and solve the equation. (7x+2)^(2)-2(7x+2)-24=0 Make an appropriate substitution and solve the equation 7x+22-27x+2-24=0
Use a reference angle to find the exact value of the following expression. Do not use a calculator. cos(135deg ) Determine the reference angle for 135deg . The reference angle is Use a reference angle to find the exact value of the following expression. Do not use a calculator.ā¦
Find two solutions of each equation. Give your answers in degrees (0deg )<= heta <(360deg ) and in radians (0)<= heta <(2pi ). as comma-separated lists.) (a) sin( heta )=(1)/(2) degrees radians (b) sin( heta )=-(1)/(2) degrees radians Find two solutions of each equation.Give your answers inā¦
Find the exact value of each of the remaining trigonometric functions of heta . cos heta =-(4)/(5), heta in quadrant II K Find the exact value of each of the remaining trigonometric functions of 0. 4 cose=-
Please show your work. Use the triangle information below to answer the following questions. Round all decimals to the nearest hundredth. 5. The information given is of the form: a. Angle-Angle-side b. Angle-Side-Angle c. Side-Angle-side d. Side-Side-Angle e. Side-Side-Side 6. Therefore, Iā¦
Find an equation for the ellipse. Graph the equation. Center at (2,-4); vertex at (8,-4); contains the point (2,2) Find an equation for the ellipse.Graph the equation Center at2,-4vertex at8,-4;contains the point(2,2)
The point given below is on the terminal side of an angle Īø in standard position. Find the exact value of each of the six trigonometric functions of Īø. (10,-24) sinĪø = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in theā¦
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) Use the Law of Sines to solve for all possible triangles that satisfy the given conditions.(If an answer does not exist,ā¦
Use an addition formula to derive the identity. sin(x+(pi )/(2))=cosx Use an addition formula to derive the identity sinx+ 2 COSX
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. tan(3pi )/(2) Use the (x,y) coordinates in the figure to find the value of the trigonometric function at the indicated real number,ā¦
State whether the graph of the function is a parabola. If the graph is a parabola, find the parabola's vertex. f(x)=x^(2)-4x+4 State whether the graph of the function is a parabola. If the graph is a parabola, find the parabola's vertex f(x)=2-4x+4
Cooper Section 12.1 #2 What are the amplitude, frequency, and period of the following? a. 9sin(4t) Amplitude = 9 Frequency = 4 Period = 2Ļ/4 = Ļ/2 a. 5sin(4t) Amplitude = 5 Frequency = 4 Period = 2Ļ/4 = Ļ/2 a. -4sin(3Ļt) Amplitude = 4 Frequency = 3 Period = 2Ļ/3
Suppose f(5)=2,f^(')(5)=6,g(5)=9, and g^(')(5)=5. Find h(5) and h^(')(5), where h(x)=3f(x)+5g(x). h(5)=, (Simplify your answer.) Suppose f5=2,f5=6,g5=9,and g5=5.Find h5and h5,where hx=3fx+5gx < h(5)=(Simplify your answer.)
Solve the triang!e. using the Law of Sines. (Assume b=21 and c=21, and /_(C)=62deg . Round the length to two decimal places.) Solve.the triangle.using the Law of Sines.Assume b=21 and c=21,and C= 62.Round the length to two decimal places.) A Enter a number. B = B
Proof identity of the equation in the attached photo 1+sin A cos A cos B 1-sin B 2 sin A-2 sin B sin(A-B)+cos A-cos B
c) A bicycle wheel turns at 60rpm. If the wheels of the bicycle measure 650mm across, what distance, in metres, does the bicycle travel in 1.00min ? d) The mean distance from Earth to the moon is 385000km. The moon travels around Earth once every 27.2 days. Assuming a circular orbit, what isā¦
Use the definition or identities to find the exact value of the indicated trigonometric function of the acute angle heta , given that tan heta =sqrt(3). Find cos heta . (1)/(2) (sqrt(3))/(2) (sqrt(3))/(3) 2 Use the definition or identities to find the exact value of the indicated trigonometricā¦
What are the amplitude, frequency, and period of the following? a. 6sin(8t) Amplitude = Frequency = Period = a. 3sin(7t) Amplitude = Frequency = Period = a. -5sin(8pi t) Amplitude = Frequency = Period = a. 2sin((t)/(8)) Amplitude = Frequency = What are the amplitude, frequency, and period ofā¦
(1)/(6) of some number is 9.5. What is the number? of some number is 9.5What is the number?
Restricting the Domain: In Exercises 73-82, restrict the domain of the function f so that the function is one-to-one and has an inverse function. Then find the inverse function f^(-1). State the domains and ranges of f and f^(-1). Explain your results. (There are many correct answers.) F(x) =ā¦
Calculate the exact value of arccos(-(1)/(2)). Note that a special angle is involved, so a calculator is not necessary. (Give an exact answer. Use symbolic notation and fractions where needed. Give the angle in radians. Simplify your answer completely.) arccos(-(1)/(2))= radians Determine theā¦
Find the exact value of the expression without using a calculator. sin((3pi )/(2))+cos((pi )/(2))= Find the exact value of the expression without using a calculator sin +cos 2
Given that the point (70,-24) is on the terminal side of an angle, heta , find the exact value of the following: sin( heta )= cos( heta )= tan( heta )= csc( heta )= sec( heta )= cot( heta )= Given that the point (70, -24) is on the terminal side of an angle, 0, find the exact value of theā¦
Use the right triangle and the given information to solve the triangle. D = 4, B = 34Ā°, find a, c, and A. Use the right triangle and the given information to solve the triangle. b = 4. B = 34. Find a, c, and A.
(a) Complete the statements below about the graphs of y=x+(5)/(6) and y=x. Compared to the graph of y=x, the graph of y=x+(5)/(6) is Choose one Compared to the graph of y=x, the graph of y=x+(5)/(6) intersects the y-axis at 5 (a) Complete the statements below about the graphs of y=x+ and y=xā¦
Temperature over a day can be modeled as a sinusoidal function. Suppose the highest temperature of 61 degrees (Fahrenheit) is reached at 2 in the afternoon, and 51 degrees is the average temperature. Assuming t is the number of hours since 2 pm, find an equation for the temperature.
If tan(Īø) = 24/10, 0 ā¤ Īø ā¤ Ļ/2, then sin(Īø) equals cos(Īø) equals 24/26. If tan(0), then sin() equals cos equals.
Part 2 of 7 Graph the hyperbola. Give the domain, range, center, vertices, foci, and equations of the asymptotes. 16x^(2)-81y^(2)=1296 Part2of7 K< Graph the hyperbola.Give the domain,range,center,vertices,foci,and equations of the asymptotes. 162-81y2=1296
QUESTION 11 Moscow's longitude is 37 degrees East. What is the standard meridian for Moscow? 135 degrees East 60 degrees East 30 degrees East 45 degrees East QUESTION11 Moscow's longitude is 37 degrees East. What is the standard meridian for Moscow? O135degrees East O60 degrees East O30 degreesā¦
Find the exact value of the expression. Do not use a calculator 2cos(pi )/(3)-3tan(pi )/(4) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 2cos(pi )/(3)-3tan(pi )/(4)= (Simplify your answer. Type an exact answer, using radicals as needed.ā¦
Find the exact value of each of the remaining trigonometric functions of Īø. cosĪø = -(7)/(25), Īø in quadrant III sinĪø = tanĪø = cotĪø = secĪø = cscĪø = Find the exact value of each of the remaining trigonometric functions of Īø. 7 cosĪø = 25, Īø in quadrant III sinĪø = tanĪø = cotĪø = secĪø = cscĪø =
By graphing the function, visually estimate its domain and range. t(x)=sqrt(8-x) A. Domain: [8,infty ); range: [8,infty ) B. Domain: (-infty ,8]; range: [0,infty ) C. Domain: (-infty ,infty ); range: (-infty ,infty ) D. Domain: (-infty ,8]; range: (-infty ,8] By graphing the function, visuallyā¦
Assume log_(b)x=0.55 and log_(b)y=0.45. Evaluate the following expression: log_(b)(x/y) Assume log_(b)x=0.55 and log_(b)y=0.45. Evaluate the following expression: x log_(b)y
Use fundamental trigonometric identities to find the values of the functions. Simplify your answers as much as possible. Given tan heta =-2 for heta in Quadrant II, find sec heta and cot heta . Part: 0 / 2 Part 1 of 2 sec heta = Use fundamental trigonometric identities to find the values ofā¦
Find the real and complex zeros of the function f(x) = x^5 - x^4 + 18x^3 - 18x^2 + 81x - 81. Express your answer as a list separated by commas. Do not use a plus-minus sign (+-) in your answer; instead, list the zeros separately. Do not include "x=" in your answer. Provide your answer below:
a) A bicycle's wheels are 36 inches in diameter. If the bike is traveling at a rate of 25 miles per hour, find the angular speed of the wheels in degrees pet second. Round your answer to 2 decimal places. 1.aA bicycle's wheels are 36 inches in diameter.If the bike is traveling at a rate of 25ā¦
Find all solutions of the trigonometric equation in terms of integer k and the solutions in a single period [0,2pi ). Express answer in radians. csc(t)=-2 (Give your answer in the form of a comma-separated list if needed. Express numbers in exact form. Use symbolic notation and fractions whereā¦
Find the center and radius of the circle with the given equation. Sketch the circle. x^2 + (y - 2)^2 = 4 Find two functions f and g such that (f@g)(x) = h(x). (There are many correct answers. Use non-identity functions for f(x) and g(x).) Need Help? Find two functions f and g such that (f oā¦
Find the reference number for t = -85.744. Round your response to 3 decimal places. ncreaconp Find the reference number for -85.744. Round your response to 3 decimal places.
LARPCALC11 5.3.029. Solve the equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer) 2cos^2(x) + cos(x) - 1 = 0
Solve the inequality algebraically. Graph the solution set. Verify your results using a graphing utility. |2x+1|-9>=-3 2+193 Solve the inequality algebraically.Graph the solution set.Verify your results using a graphing utility
The terminal point $(-frac{12}{13},frac{5}{13})$ 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 yourā¦
The graph above is a transformation of the function f(x)=(1)/(x) Write an equation for the function graphed above g(x)=ā» 4 The graph above is a transformation of the funetion fc T Write an eguation for the function graphed above g(x)
Calculate the average rate of change of the function f(x)=6mx+b, where m and b are constants, on the interval a,a+h (assuming h>0 ). Simplify your answer as much as possible. (Express numbers in exact form. Use symbolic notation and fractions where needed. Simplify your answerā¦
Use a graphing calculator to evaluate the sum. (Round your answer to six decimal places.) sum_(j=2)^(13) (1)/(j^(2)+3) Use a graphing calculator to evaluate the sum. (Round your answer to six decimal places.) 1 :2+3
State the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. State the open intervals over which the function is (a) increasing, (b) decreasing and(c) constant. KK 3[363 X -p
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(7pi )/(6) N an example Get more help . MacBook Pro Use the x.y coordinates in the figure to find the value of the trigonometricā¦
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(11pi )/(6) (-(1)/(2),-(sqrt(3))/(2))_((-(1)/(2),(sqrt(3))/(2)))>((sqrt(3))/(2),(sqrt(3))/(2)) Select the correct choice belowā¦
Let (-4, -5) be a point on the terminal side of Īø. Find the exact values of sinĪø, secĪø, and tanĪø. Let -4 - 5 be a point on the terminal side of Find the exact values of sin, sec, and tan. sinĪø = -5/ā41 secĪø = -4/ā41 tanĪø = -5/-4 = 5/4
Find the quotient below. Leave the result in polar form. (16(cos155deg +jsin155deg ))/(4(cos55deg +jsin55deg )) What is the quotient? (cos,+jsin^(')) (Simplify your answers. Type integers or decimals. Use angle measures greater than or equal to 0 and less than 360 .) Find the quotientā¦
Write the augmented matrix of the system and use it to solve the system using row reduction, clearly showing your work. Answers using your calculator will not be accepted for this question - I want to see you can do it by hand. If the system has an infinite number of solutions, express them inā¦
The function, f(x) = 5 - x^2, is a one-to-one function. True False The function, f(x) = 5 - 2, is a one-to-one function. True False
The difference between the equilibrant and resultant vector is: - The resultant vector is twice as long. - They point in opposite directions. - Nothing. - The equilibrant vector is twice as long.
Find an equation for the ellipse. Graph the equation. center at (0,0); focus at (0,15); vertex at (0,17) Type the left side of the equation of the ellipse. =1 188 view Que KK Find an equation for the ellipse. Graph the equation center at (0,0; focus at (0,15;vertex at (0,17) Type the left sideā¦
The height of a rider on a Ferris wheel can be modeled using a sinusoidal function. For example, the height of a rider on a certain Ferris wheel that makes a rotation every 40 seconds could be modeled by: y = 8sin[(Ļ)/(20)(t-10)] + 12, where t is the time in seconds. If this Ferris wheel speedsā¦
8 Question: Which of the following would be acceptable answer formats according to the expanded answer tip below? DNE 0.14290.(141)/(71)-(6)/(7)... Question: Which of the following would be acceptable answer formats according to the expanded answer tip below? DNE 0.1429 0.141/71-6/7... Useā¦
What are the amplitude, frequency, and period of the following? a. 6n(6t) Amplitude = Frequency = Period = a. 5sin(7t) Amplitude = Frequency = Period = a. -2sin(6pi t) Amplitude = Frequency = Period = a. 2sin((t)/(4)) Amplitude = Frequency = Period = What are the amplitude, frequency, andā¦
Correct Use the suggested substitution to write the expression as a trigonometric expression. Simplify your answer as much as possible. Assume 0<=(pi )/(2) sqrt(36-4x^(2)),(x)/(3)=sin( heta ) Correct Use the suggested substitution to write the expression as a trigonometric expression.Simplifyā¦
Find the real and complex zeros of the function f(x) = x^4 + 7x^3 + 12x^2 + 14x + 20. Express your answer as a list separated by commas. Do not use a plus separately. Do not include "x=" in your answer.
Solve the equation for u : (1)/(5)(k-u)=ut+5y Solve the equation for u: (k -u)=ut+5y
Find the exact value of the expression without using a calculator. sin((1)/(3)pi )cos((5)/(6)pi )= Find the exact value of the expression without using a calculator 1 5 sin 13 TT cos
Find the exact value of cot(-(4pi )/(3)). Find the exact value of cot 4TT 3
Find another representation, (r, heta ), for the point under the given conditions. (6,(pi )/(4)),r<0 and 2pi < heta <4pi Find another representation, (r, O), for the point under the given conditions JT 7 r<0and2<0<4
Assume log_(b)x=0.36, log_(b)y=0.53, and log_(b)z=0.85. Evaluate. log_(b)(ā(xy))/z log_(b)(ā(xy))/z = Assume logx=0.36, log py=0.53, and logbz=0.85. Evaluate ā(xy) logb xy logb
Determine the x - and y-intercepts for the given function. Write your answer as an ordered pair. f(x)=3x-21 If there is more than one answer, separate your answers with commas. Select "None" if appropriate. Part 1 of 2 x-intercept(s): (ā»,ā»),ā»,ā»,dots, None Determine the x- and y-intercepts forā¦
Find the polynomial of the specified degree whose graph is shown. Degree 4 P(x)= Find the polynomial of the specified degree whose graph is shown Degree4 Px y 36 32 28 65 44434241 4 1 2 5 6
A vector with magnitude 5 points in a direction 100 degrees counterclockwise from the positive x axis. Write the vector in component form, and show your answers accurate to 3 decimal places. Vector = A vector with magnitude 5 points in a direction 100 degrees counterclockwise from the positiveā¦
A function f is given. f(x) = x^3 + 3x^2 - 4x - 12 (a) Use a graphing device to draw the graph of f. Find the domain and range of f. (Enter your answers using interval notation.) Domain: (-ā, ā) Range: (-ā, ā) Increasing: Decreasing: Need Help? Viewing Saved Work Revert to Last Response Aā¦
Without using a calculator, compute the sine and cosine of (5pi )/(6) by using the reference angle. What is the reference angle? radians. In what quadrant is this angle? (answer 1,2,3, or 4 ) sin((5pi )/(6))= cos((5pi )/(6))= (Type sqrt(2) for sqrt(2) and sqrt(3) for sqrt(3).) 5TT Without usingā¦
a. Explain how to derive the derivative of the function f(x)=secx two different ways. (Hint: They are similar but use different rules.) [2] b. Derive the derivative using one of the two ways. [2] 17. a. Explain how to derive the derivative of the function f(x) = sec x two different ways. (Hint:ā¦
By completing the square, the expression x^2 + 14x + 108 equals (x + 7)^2 + 7 where A = 7 and B = 7.
KSU D2L Brightspace Homepage - Precalc Graphs and Functions Inverse functions: Quadratic, square root Domain of f^(-1): Your answer is incorrect. Consider the function f(x) = sqrt(x + 5) - 10 for the domain [-5, ā). Find f^(-1)(x), where f^(-1) is the inverse of f. Also state the domain ofā¦
Answer the questions about the following function. f(x) = (x + 11) / (x - 4) (a) Is the point (3, 6) on the graph of f? (b) If x = 2, what is f(x)? What point is on the graph of f? (c) If f(x) = 2, what is x? What point(s) is (are) on the graph of f? (d) What is the domain of f? (e) List theā¦
The reference angle of (12)/(5)pi radians is The reference angle of 1 radians is
heta Over the domain 0<= heta <=2pi , the equation sin2 heta =-(sqrt(3))/(2) has solutions of: A. heta =(2pi )/(3),(4pi )/(3) B. heta =(4pi )/(3),(5pi )/(3) C. heta =(2pi )/(3),(5pi )/(6),(5pi )/(3),(11pi )/(6) D. heta =(7pi )/(6),(4pi )/(3),(5pi )/(3),(11pi )/(6) /3 has solutions of:ā¦
When running a half-marathon (13.1 miles), it took Bryce 8 minutes to run from mile marker 1 to mile marker 2 , and 19 minutes to run from mile marker 2 to mile marker 4 . a. How long did it take Bryce to run from mile marker 1 to mile marker 4 ? When running a half-marathon (13.1 miles), itā¦
Find the exact value of the expression without using a calculator. sin((1)/(4)pi )+2cos((1)/(4)pi )= Find the exact value of the expression without using a calculator. C1 sin +2cos
If f(x)=x^(2)+3x, what is the net change between x=1 and x=4 ? 2) If f(x) = x2 + 3x, what is the net change between x = 1 and x = 4?
Problem 14: (first taught in lesson 57) Express this product as a sum containing only sines or cosines. Select the choice that matches your answer. sin(alpha )/(2)sin2alpha After you pick your answer press GO. A B c E (1)/(2)cos(5alpha )/(2)+(1)/(2)cos(3alpha )/(2) (G0) (first taught inā¦
Collect like terms and write in descending order. -2m^(7)+11m^(6)-3m^(5)+9m^(7)-3m^(6) Collect like terms and write in descending order.
Find the exact value of each of the remaining trigonometric functions of Īø. cosĪø = -(3)/(5), Īø in quadrant III sinĪø = tanĪø = cotĪø = secĪø = cscĪø = Find the exact value of each of the remaining trigonometric functions of Īø. Īø in quadrant III cosĪø = 3/5 sinĪø = tanĪø = cotĪø = secĪø = cscĪø =
At a small airport, Runway 11-29 is 4,100ftlong and 75ft wide. What is the area of the runway (in ft^(2) )? (Simplify your answer completely.) imes ft^(2) Need Help? At a small airport, Runway 11-29 is 4,100 ft long and 75 ft wide. What is the area of the runway (in ft2)? (Simplify your answerā¦
Suppose f(x)=(x)/(x+5) and g(x)=2x-9. The domain of f@g is xin (Express your answer in interval notation, using U to indicate a union of intervals) Suppose f()= andg=2x-9. +5 The domain of f o g is (Express your answer in interval notation, using U to indicate a union of intervals)
Find an angle Īø with 0Ā° < Īø < 360Ā° that has the same: Sine as 80Ā°: Īø = degrees Cosine as 80Ā°: Īø = degrees Find an angle with 0-360 that has the same Sine as 80 degrees Cosine as 80 degrees
cosĪø = -(12)/(13), Īø in quadrant II 12 cosĪø = 0 in quadrant II 13
If heta =-(pi )/(4), then sin( heta )= cos( heta )= TT then 4 If0= sin(0)= cos0
Find the sum. sum_(i=1)^4 i2^(i) Find the sum. 4 D i2i i =1
Find the inverse of the function. f(x)=10-5x^(3) Hint: The cube root is the same as an exponent of (1)/(3), so for oot(3)(19x), you could type in (19^(**)x)^(^(^()))((1)/(3)). Remember your parentheses! Find the inverse of the function fx=10-5x3 Remember your parentheses!
Solve the inequality. (Enter your answer using interval notation.) (3x+5)/(x-1)<2 Solve the ineguality.(Enter-your answer using interval notation.) 3x+5 <2 X-1
Let heta be an angle in quadrant II such that cot heta = -(3)/(7). Find the exact values of sin heta and sec heta. sin heta = sec heta = Let be an angle in quadrant II such that cotĪø = Find the exact values of sinĪø and secĪø.
Solve the following equation. [Hint Change log_(36)x to base 6.] log_(6)(x+9)-log_(36)x=1 Solve the following equation. [Hint: Change log 36 to base 6.] log6x+9-log36x=1 K
For the function y=4sin((pi )/(2)x)+2 The amplitude is: the minimum is (just the numerical value) The period is: 2 3 For the function A y=4sin)+2 The amplitude is: A formation the minimum is (just the numerical value) The period is:
erin runs a bakery and is deciding on the price of their pastries by taking into account their expensee. the first 48 brownies cost in $125. each additional dozen brownies costs erin $24. let B represent the number of brownies that erin makes. let c represent erins costs of making B brownies.ā¦
b. Write an inequality using absolute value notation to represent all possible numbers, x, that are less than 2 units away from 7 on the number line. |x - 7| < 2 c. Write the statement in part (b) using mathematical notation but without using an absolute value. Simplify the inequality. 5 < x <ā¦
Use fundamental trigonometric identities to find the values of the functions. Simplify your ans Given tan heta =-5 for heta in Quadrant II, find sec heta and cot heta Use fundamental trigonometric identities to find the values of the functions. Simplify your ans Given tan=-5for 0in Quadrantā¦
LARCOLALGRMRP7 3.1.044. Write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point. Use a graphing utility to verify your result. Vertex: (-1/2, -1); Point: (0, -5/4) y=
Using DeMoivre's theorem, find (-5-2j)^(5). (-5-2j)^(5)=(cosdeg +jsindeg ) (Simplify your answers. Round to two decimal places as needed. Type any angle measures in degrees. Use angle measures greater than or equal to 0 and less than 360 .) Using DeMoivre'sā¦
Find the pH of a solution whose hydrogen ion concentration is: (0.5pts) 1.Find the pH of a solution whose hydrogen ion concentration is: (0.5pts)
Describe how the graph of the function g(x)=f(x+2)-6 a transformation of the original function f. Describe how the graph of the function g ()= f (+2) -6 a transformation of the original function f.
Which of the following expressions is equivalent to the expression csc heta cos^(3) heta tan heta ? (A) sin heta (B) cos heta (C) 1-sin^(2) heta (D) 1+sin^(2) heta J.Which of the following expressions is equivalent to the expression csccos'tan (A)sin (B)cos C)1-sin (D)1+sin
Solve the following logarithmic equation. Express irrational solutions in exact form. 2log_(6)(x-4)+log_(6)9=2 Rewrite the given equation without logarithms. Do not solve for x. Solve the following logarithmic eguation.Express irrational solutions in exact form KK 210g6x-4)+l0g69=2 Rewrite theā¦
Find the exact value of the expression cos210deg Find the exact value of the expression cos 210
Use the reference angle to find the exact value of the expression. sin1575deg Use the reference angle to find the exact value of the expression sin 1575
Evaluate the following expressions. Give an exact answer in radians. (a) sin^(-1)(-(sqrt(3))/(2))= (b) sin^(-1)(0)= (c) sin^(-1)((sqrt(3))/(2))= Evaluate the following expressions. Give an exact answer in radians. 13 (b) sin-1(0)= (c) sin-1 2
Consider the following function. f(x)=5|x|-|x-2| Part 1 - Piecewise-defined Use the definition of absolute value to rewrite f as a piecewise-defined function. f(x)={( if x<),( if ||<=x<),( if x>=):} Part 2 - Graphing Part 3 - Zeros Find the zeros of f, if any exist. (If an answer does notā¦
Suppose f(x)=4x+5 and g(x)=4x^(2)+4x. Selecting from the options available (enter A for A, etc.), match equivalent expressions. f@g g@f f@f g@g A. 64x^(4)+128x^(3)+80x^(2)+16x B. 64x^(2)+176x+120 C. 16x^(2)+16x+5 D. 16x+25 Suppose f=4+5 and g=42+4.Selecting from the options available(enter Aā¦
a = 1/7
For the following exercises, use the given vectors a and b to find and express the vectors a+b, 4a, and -5a+3b in component form. 83. a = -1, -2, b = -5, 6, -7 84. a = 3, -2, 4, b = -5, 6, -9 85. a = -k, b = -i
Find sin(Īø), if cos(Īø) = -(1/4), with Īø in quadrant II. Give a reduced answer in exact form. sin(Īø) = sqrt(15)/4 Find sin(Īø) if cos(Īø) = 0. with Īø in quadrant II. Give a reduced answer in exact form sin(Īø) = 1
Given the triangle below: Set up a trigonometric equation to solve for x : trig(xdeg )= ratio, where: trig= ratio = Now solve for x to the nearest degree: x= Given the triangle below: X 9 11 Set up a trigonometric equation to solve for : trig(x)=ratio,where: trig [Select] ratio= [Select] Nowā¦
Solve the equation. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 5|x-6|-7=2 x= + Recall an equation of the form |A|=B has solutions A=B or A=-B as long as B>=0. Is the given equation isolated on one side? How is rewriting the equation with the absoluteā¦
Find b and c so that y = 16x^2 + bx + c has vertex (-4,3). b = c =
Find cos heta if heta is in quadrant I and sin heta =(7)/(8). Provide your answer below: cos heta = Find cos if 0 is in quadrant I and sin 0 = 7 8 Provide your answer below: cos=
Use a reference triangle to find the given angle. cos^(-1)((sqrt(3))/(2)) cos^(-1)((sqrt(3))/(2))= (Type an exact answer in terms of pi .) Use a reference triangle to find the given angle COST (Type an exact answer in terms of x
Note: Triangle may not be drawn to scale. Given the triangle above, answer the following: Round all answers to 3 decimal places as needed. B = 65 degrees a = 5 c = 25
Write an equation for the function graphed above. y= K LY 2 1 Write an eguation for the function graphed above y=
Rewrite cot59.9deg in terms of its cofunction. cot59.9deg = Rewrite cot 59.9in terms of its cofunction cot59.9
2-25. A lawn mower is pushed up a 15deg slope by a 20 -lb force. Find the component acting parallel to the slope (Figure P2-25). FIGURE P2-25 2-25.A lawn mower is pushed up a 15 slope by a 20-Ib force.Find the component acting parallel to the slope(Figure P2-25) 20Ib slopeā¦
The population of a town is increasing at a rate of 6.2% per year. The city council believes they will have to add another elementary school when the population reaches 100000 . If there are currently 76000 people living in the town, how long do they have before the new school will beā¦
Use identities to rewrite the following expression as sin heta ,cos heta ,tan heta ,csc heta ,sec heta , or cot heta . (-cot^(2) heta -cos^(2) heta +csc^(2) heta )/(sin heta ) Use identities to rewrite the following expression as sin 0, cos 0, tan 0, csc 0, sec 0, or cot . -cot2-cos2+csc2 sin o
Use the triangle shown on the right and the given information to solve the triangle. a = 5, A = 35Ā°; find b, c, and B.
Section 3 Question 21, 2.3.91 Part 1 of 3 State the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. Section 3 Question 21,2.3.91 Part 1 of 3 State the open intervals over which the function is (a) increasing,(b) decreasing and (c) constant. Ayā¦
Find a polynomial function with real coefficients that has the given zeros: 4 and -3i and f(1) = 60.
Solve the inequality algebraically. Express your answer using set notation or interval notation Graph the solution set Verify your results using a graphing utility |6x-5|>=0 Rewrite the inequality without the absolute values. Select the correct choice below and, if necessary, fill in the answerā¦
c. -5.1 is some number of times as large as 6 . What is the number? c.-5.1 is some number of times as large as 6.What is the number?
Solve the equation. Write the solution set with the exact solutions. log_(3)(4z-9)=1+log_(3)(z+7) Solve the eguation. Write the solution set with the exact solutions 1og3(4z-9)=1+1og3 (z+7)
Prove the following identity.. show your work and (sinx-cosx)^(2)+(sinx+cosx)^(2)=2 Prove the following identity. show your work anc sin-cos+sinx+cosx=2
y=
Chester hopes to earn $1200 in interest in 2.5 years time from $60,000 that he has available to invest. To decide if it's feasible to do this by investing in an account that compounds monthly, he needs to determine the annual interest rate such an account would have to offer for him to meet hisā¦
Find the exact value of each of the remaining trigonometric functions of Īø. cosĪø = -(4)/(5), Īø in quadrant II sinĪø = tanĪø = cotĪø = secĪø = cscĪø = Find the exact value of each of the remaining trigonometric functions of A. 4 cosA = 0 in quadrant II sinA = tanA = cotA = secA = cscA =
A radioactive substance decays according to A = Aāe^(-0.0048t), where Aā is the initial amount and t is the time in years. If Aā = 560 grams, find the time for the radioactive substance to decay to 185 grams. Round your answer to two decimal places, if necessary.
Use interval notation to represent all values of x satisfying the given conditions. y=8-(x+9)+2x and y is at least 7 Use interval notation to represent all values of x satisfying the given conditions y=8-(x+9)+2x and y is at least 7
Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.) domain range Use the graph to find the indicated function values. (a) f(2)= (b) f(1)= (c) f(3)= (d) f(-1)= Need Help? y 12 11 10 6 8 7 6 4 3 21 y=f(x -5-4-3 -2 -11 1 3ā¦
Usain is running at 11 meters per second. As Usain's time elapsed changes from 1 to 3 seconds, what is Usain's corresponding change in distance? Usain is running at 11 meters per second. As Usain's time elapsed changes from 1 to 3 seconds, what is Usain's corresponding change in distance?
Rewrite cos((7pi )/(5)) in terms of the appropriate cofunction. 7JT Rewrite cos 5 in terms of the appropriate cofunction
Find the exact value of each expression. (a) log_(7)(sqrt(7)) Find the exact value of each expression (a)1og(V7)
The midline is y=2, so D=2. The amplitude is 1, so A=1 or -1. The function is at the midline when x=-2 and is increasing there, so we can write this with A=-2 and a horizontal shift of 1 unit to the right or with A=-2 and no horizontal shift. The period is 2 units. -(2Ļ)/(B)=2 so B=Ļ. With aā¦
Another way of writing 2^(-3)=(1)/(8) is a. log_(2)(-3)=8 c. ,log_((1)/(8))2=-3 b. log_(-3)2=(1)/(8) d. ,log_(2)(1)/(8)=-3 I a. 10g-3=8 1og2=-3 1 1 10g -3 b. d.
a. Carolyn starts running and Evan starts running 4 seconds later. Let t represent the number of seconds since Carolyn started running. Write an expression (in terms of t ) that represents the number of seconds Evan has been running. b. You are 26 meters west of a stop sign (-26 meters east ofā¦
Let heta be an angle in quadrant IV such that sin heta = -(3)/(4). Find the exact values of sec heta and tan heta. Find the exact values of secĪø and tanĪø.
Solve the right triangle shown in the figure. A=51.4deg ,c=50 a. What are the lengths of the sides? a~~, (Round to the nearest hundredth as needed.) Solve the right triangle shown in the figure B A=51.4c=50 a 6 c a. What are the lengths of the sides ar (Round to the nearest hundredth asā¦
A restaurant at the top of a tall building in Seattle rotates 0.96 revolutions every hour. Andrea is sitting 18.3 meters from the center of the restaurant near a window. (a) How many radians does Andrea turn in 114 minutes? Round your answer to two decimal places. radians (b) How far doesā¦
Write the equation of the tangent line to the curve y=x^(3)+8x-1 at (1,8). The equation of the tangent line is The equation of the tangent line is
Find the exact value of the trigonometric function. cos(180deg ) pi help (numbers) Find the exact value of the trigonometric function. cos(180) help(numbers)
A toy car travels around a circular track as shown in the figure. As the toy car travels around the track, its distance from the wall can be modeled by a graph where the y-axis represents the distance between the car and the wall, and the x-axis represents time. Which of the following graphsā¦
In the figure, /bar (CD)=15(,)/(b)ar (DE)=8,tanalpha =(4)/(3), and sineta =(3)/(5). Find the lengths of a. /bar (AC) b. /bar (AD) c. /bar (DB) d. /bar (BE) e. /bar (AB) 3 a.AC B b.AD C.DB 15 D E d.BE ARR
Suppose the function determines the circumference of the circle in cm, C, given its radius length in cm, r. a. Write a function formula for f. f(r) = 2Ļr b. What does f(12) represent in this context? Select all that apply. The circumference (in cm) of a circle whose radius is 12 cm A circleā¦
Based on the table below, able[[x,0,1,2,3,4,5,6,7,8,9],[f(x),23,15,22,1,100,11,71,2,12,50]] Evaluate f(1) : f(1)= Solve f(x)=2 : x= Question Help: Video Based on the table below x f(x) 0 23 1 15 2 22 3 1 4 100 5 11 6 7 8 71 2 12 9 50 Evaluate f(1): f(1= Solve f(=2: x= Questionā¦
Use the graph of each function to identify its domain and its range. A) B) (Problem 1-20 Points Use the graph of each function to identify its domain and its range. A) f=+2 B) f(x= 4x+3 2x-
Write an equation for a function that has a graph with the given characteristics. The shape of y=sqrt(x) that is first reflected across the Y-axis, then shifted left 7 units. Write an equation for a function that has a graph with the given characteristics The shape of y = / that is firstā¦
A plane travels at the speed of 162k(m)/(h) in a direction of 138deg from Denver for 3 hours. How far east of Denver is the plane after this time? Note that North is 0deg and the direction angle is measured clockwise from North. Round your answer to two decimal places. Keypad Keyboardā¦
Let f(x) = 2x + 1, g(x) = x^2 - x - 6, and h(x) = (x + 7)/(x - 7). Find and simplify the indicated composite function: (h @ h)(x) = (8x - 42)/(-6x + 56) Find the domain. (Enter your answer using interval notation.) Find and simplify the indicated composite function: Y (h o h)(x) = 8x - 42ā¦
Find the value of y assuming that the point (12,y) is on the terminal side of heta in quadrant I and cos heta =(12)/(37). 12 Find the value of y assuming that the point (12,y) is on the terminal side of in quadrant I and cos = 37
he function below has at least one rational zero. Use this fact to find all zeros of the function. g(x)=5x^(4)+17x^(3)+15x^(2)+x-2 function below has atleast one rational zero Use this fact to find all zeros of the function. gx=5x4+17x3+15x2+x-2 If there is more than one
Please solve all the parts of the problem, thank you. Problem 1. A cyclist travels 1000 meters in exactly 3 minutes. The wheels of the bicycle have a diameter of 0.80 meters. (a) What is the average speed of the bicycle? (b) What is the average angular velocity of the bicycle's wheels? (c) Howā¦
Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. log(sqrt(x^(3)y^(-8))) log(sqrt(x^(3)y^(-8)))= Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as aā¦
Find the product below. Leave the result in polar form. [2(cos110deg +jsin110deg )][7(cos100deg +jsin100deg )] What is the product? (cosdeg +jsindeg ) (Simplify your answers. Type integers or decimals. Use angle measures greater than or equal to 0 and less than 360 ) Find the productā¦
Simplify the following expression, writing your answer with only positive exponents. ((3m^(2)n^(-1))/(n^(2)))^(3) Simplify the following expression,writing your answer with only positive exponents 3m2n-1
Find all exact solutions to the equation on [0, 2Ļ). cos^2(x) = cos(x) Find all exact solutions to the equation on [0, 2Ļ) cos^2(x) = cos(x)
Find the coordinates of the point on the unit circle corresponding to t=(11pi )/(6). Enter exact, symbolic values, for example "sqrt(2)/2." x= y= 117T Enter exact,symbolic values,for example"sqrt2/2." =X y=
Find the length s of the arc that subtends a central angle of measure 30deg in a circle of radius 16m. (Round your answer to two decimal places.) s=,m Find the length s of the arc that subtends a central angle of measure 30 in a circle of radius 16 m.(Round your answer to two decimalā¦
Solve for x in terms of a and b. logx=-4(loga+logb)+10logb^(8)+3(logb-loga) Solve for in terms of a and b log x=-4(log a+log b)+10log b8+3(log b- log a)
Question Find an angle A that is coterminal with an angle, in radians, measuring -(8pi )/(3), where 0<=A<2pi Question Find an angle A that is coterminal with an angle,in radians,measuring
Determine the tangent and cotangent of heta given the following. Round your answer to three decimal places, if necessary. sin( heta )=-0.2588 and cos( heta )=0.9659 Determine the tangent and cotangent of O given the following. Round your answer to three decimal places,ifā¦
Add the following and express your answer in appropriate scientific notation: (9.3 imes 10^(25))+(1.4 imes 10^(23)) Add the following and express your answer in appropriate scientific notation: (9.3 1025) + (1.4 1023)
Assume logābāx=0.78 and logābāy=0.24. Evaluate the following expression: logābā(x)/(y) Assume log pā=0.78 and log pįµ§=0.24. Evaluate the following expression: log bįµ§
Consider the following: P(x) = x^3 - 8x^2 - 6x + 48, c = 8 Show that the given value of c is a zero of P(x). This answer has not been graded yet. Find all other zeros of P(x). (Enter your answers as a comma-separated list. Enter all answers including repetitions.) x = Consider theā¦
Find the area of a sector of a circle with a central angle of 130deg and a radius of 26cm. cm^(2):: help (numbers) Find the area of a sector of a circle with a central angle of 130 and a radius of 26 cm. 7624.44 cm2 :: help (numbers)
solve graphically and analytically. Show how you got the angles to use for either the cosine or sine law. F (given 30N) into AB and AC. Īø = 23Ā° and Ļ = 35Ā° F (given 30 N) into AB and AC. Īø = 23 and Ļ = 35
Write an explicit formula for a_(n), the n^(th ) term of the sequence 125,25,5,dots Write an explicit formula for an, the nth term of the sequence 125, 25, 5, ...
If f(x)=log4x and g(x)=x^(2)-2, which of these expressions is equivalent to f(g(4)) ? a. ,log4+log14 b. ,log^(2)16-2 c. ,log^(2)14 d. ,log4 imes log14 19.If x=log 4x and gx=x2-2,which of these expressions is equivalent to fg4) a. log4+log14 b. log16-2 c. log14 d. log4log 14
cot((13pi )/(6))=ā» (Simplify your answer, includin 13T cot 6 (Simplify your answer, includin
(a) Find an angle between 0 and 2pi that is coterminal with (23pi )/(4). 23TT (a Find an angle between 0 and 2t that is coterminal with 4
In the right triangle below, angle A=30 degrees; side c=8 feet. Find the remaining sides and angles. Give the exact answer, not the decimal answer. answer,not the decimal answer. B a A b c
Use the Law of Cosines to solve for the following triangles: 1.Use the Law of Cosines to solve for the following triangles: C 16in. 12 in. A 1. 18 in. B B 10mm C 15mm 2. A
(a) What is the period of each function (in months)? period of H(t),12 months period of L(t),12 months a What is the period of eachfunction (in months)? period of Ht) 12 months period of(t) 12 months
Solve the right triangle. Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle. Solve the right triangle. 405 /00 Findā¦
Hanna works a total of 50 hours each week at two part-time jobs. She works at a restaurant, where she earns $11 per hour, and as a freelance blog editor, where she earns $16 per hour. a. Write a function f that inputs the number of hours Hanna works at the restaurant in a week (x) and outputsā¦
Complete the square of the given quadratic expression. Then, graph the function using the technique of shifting. f(x) = 3x^2 - 36x + 111 Complete the square by entering the correct numbers into the expression below. f(x) = 3(x - 6)^2 + 3 Shifting Complete the square of the given quadraticā¦
If heta =(10pi )/(3), then sin( heta )= cos( heta )= 10T If0= then 3 sin0= cos0=
Sketch the graphs of f and g in the same coordinate plane. (Include two full periods.) f(x)=cos(x) g(x)=cos(x+(pi )/(2)) Sketch the graphs of f and g in the same coordinate plane.(Include two full periods.) f(x=cos(x) g(x=cos(x+
Find the domain of y=log(5+2x). The domain is: Question Help: Video Find the domain of y=log(5+ 2) The domain is: Question Help: Video Submit Question
Determine the amplitude and period of the following function. Then, graph the function. y=-4sin(1)/(2)x The amplitude is 4 . (Simplify your answer.) The period is (Type an exact answer using pi as needed. Use integers or fractions for any numbers in the expression.) Determine the amplitude andā¦
The values of a function, Ga(x), are given in the table below. Determine the tables that define the new functions Ga(x-4),Ga(x)+4, and Ga(x+2)-5. able[[x,Ga(x) 4. The values of a function, Ga,are given in the table below. Determine the tables that define the new functions Gax-4,Gax+4,andā¦
Example: Reynold's Metal Company manufactures aluminum cans in the shape of a cylinder that is required to have a volume of 400 cubic inches. Express the amount A of material required to make the can as a function of the radius r of the cylinder. Example: Reynold's Metal Company manufacturesā¦
Write the complex number in rectangular form. 9cis135deg Write the complex number in rectangular form 9cis135
(c) Find the exact solution of the following equation on the interval pi ,2pi . (1-tan(t))^(11)=0 (c Find the exact solution of the following equation on the interval [t, 2] (1 - tan()11= o
Find the domain of the composite function (f@g)(x). (Enter your answer using interval notation) f(x) = 6x^2 + 7 g(x) = ā(x) Find the domain of the composite function (f o g)(x). (Enter your answer using interval notation) f(x) = 6x^2 + 7 g(x) = āx
Use synthetic division to divide x^(3)+9x^(2)+26x+30 by x+3 Give your answer in the form quotient +( remainder )/( divisor ) if necessary. answer = Use synthetic division to divide 3+92+26+30 by +3Give your answer in the form remainder quotient + if necessary. divisor 9 26 30 answer=
Put the equation that is in general form: y=x^(2)-16x+60 into standard vertex form: y=(x-h)^(2)+k : Answer: y= Put the equation that is in general form: y= 2- 16+ 60 into standard vertex form: y=(-h)+k: Answer:y=
Find the solutions of the equation in the interval -2pi ,2pi . Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.) sec(x)=-sqrt(2) Find the solutions of the equation in the interval [-2, 2]. Use a graphing utility to verify your results. (Enter yourā¦
Which factor could be part of the function so that f(x) is increasing as x approaches negative and positive infinity? Select all that apply. Select all that apply: 0.2x, 3x, -5x, (x + 3), (2xĀ² ā 3), f(x) = (x+3)(x +8)(x ā 4)
The average rate of change of the function f(x) = 8ā(x) on the interval [a, a+h] (assuming a ā„ 0 and h > 0) is given by: ( f(a+h) - f(a) ) / h = [ 8ā(a+h) - 8ā(a) ] / h
x ā (-ā, -4] U [11, ā)
Consider the statement |x - 6| < 1.5. What is the meaning of this statement? Select all that apply.
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