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February 2024
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Precalculus Q&A Archive of February 21, 2024

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February 21 of 2024

Use reference angles to find the exact value of the following expression. Do not use a calculator. cot(23pi )/(3) Use reference angles to find the exact value of the following expression.Do not use a calculator 23Tt cot 3

Given that a force vector has components ( 120N,-60.0N, find the magnitude of the vector. Multiple Choice 140N 134N 180N 60.0N Given that a force vector has components (120 N, -60.0 N), find the magnitude of the vector. Multiple Choice 140N 134N 180N 60.0N

Find the exact value of the remaining trigonometric functions of heta . tan heta =(24)/(7),sin heta <0 Find the exact value of the remaining trigonometric functions of o 24 tan0= 7sin00

Let ( g(x) = 4x^2 - 9 ) (a) Find the average rate of change from -3 to 4. (b) Find an equation of the secant line containing (-3, g(-3)) and (4, g(4)). (a) The average rate of change from -3 to 4 is . (Simplify your answer.)

Suppose that sec(t)=3x for 0<=t<(pi )/(2). Find expressions for cos(t) and sin(t) in terms of x. cos(t)= sin(t)= Suppose that sect=3x for 0t< .Find expressions for cos(t and sin(t in terms of x =(so5 sin(t)=

A box with a square base and no top is to be made from a square piece of cardboard by cutting 8 in. squares from each corner and folding up the sides. The box is to hold 24200 in^3. How big a piece of cardboard is needed? Your answer is: in. by in.

Starting with the graph of f(x)=4^(x), write the formula for the function that results from: (a) shifting f(x) 5 units downward. y= (b) shifting f(x) 7 units to the right. y= (c) reflecting f(x) about the y-axis. y=

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 π Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number, t,…

Find the exact value of the expression. sec((29pi )/(3)) Find the exact value of the expression 29T sec 31

Find the exact value of cot^(-1)((sqrt(3))/(3)). KF Find the exact value of cot

Find f@g and g@f. f(x)= oot(3)(x-7),g(x)=x^(3)+1 (a) f@g (b) g@f Find the domain of each function and each composite function. (Enter your answers domain of f domain of g domain of f@g domain of g@f Find f o g and g of. f(x)=/x-7gx=3+1 a}fog b gof Find the domain of each function and each…

Problem 4: For an arbitrary angle heta , tan( heta )=sin( heta )/(cos( heta )) tan( heta )=sin( heta )/(cotan( heta )) tan( heta )=cos( heta )/(sin( /&theta )) cotan( heta )=sin( heta )/(cos( heta )) None of above Problem 4: For an arbitrary angle 0, tan0=sin/cos0 tan0=sin0/cotan0 tan…

Which of these is a possible solution for secx-2=0 in the interval x in [0,2π]? a. x=(2π)/(3) c. x=(4π)/(3) b. x=(5π)/(3) d. x=(π)/(6) Which of these is a possible solution for secx-2=0 in the interval x in [0,2π]? a. x=3 c. x=(5π)/(3) b. x= d. x=6

Find the acute angle heta that satisfies the given equation. Express your answer as an inverse trigonometric function and as the measure of heta in degrees. sin heta =(1)/(2) Express heta as an inverse trigonometric function. heta = (Type an exact answer, using radicals as needed. Use…

Use transformations to help graph the function f(x) = 3^(x) + 3. Identify the domain, range, and horizontal asymptote. Determine whether the function is increasing or decreasing. Use transformations to help graph the function f(x) = 3x + 3. Identify the domain, range, and horizontal asymptote.…

Convert the angle to D° M' S'' form. 28.362° 28.362° = (Round to the nearest second as needed.) Convert the angle to D M'S form 28.362 28.362 = (Round to the nearest second as needed)

Find the reference number for each value of t given below and find the terminal point P(x,y) determined by t. a) (11pi )/(6) b) -(7pi )/(5) c) t=5 4) Find the reference number for each value of t given below and find the terminal point P(x,y) determined by t a) 117 1TT b) 5 c) t=5

Find the values of the trigonometric functions of θ from the information given. cot(θ) = -(6)/(7), cos(θ) > 0 sin(θ) = cos(θ) = tan(θ) = csc(θ) = sec(θ) = Find the values of the trigonometric functions of a from the information given cot(9) = cos(0) = sin(0) = cos(0) = tan(0) = csc(0) = sec(0)

Verify the identity. (Simplify at each step.) (1 + sin α)(1 - sin α) = cos^2 α (1 + sin α)(1 - sin α) = 1 - sin^2 α = cos^2 α Verify the identity. (Simplify at each step.) 1 + sin α - sin α = cos 2 α 1 + sin α - sin α = 1

Find the coordinates of the point on the unit circle corresponding to t=4.887. Round your responses to 3 decimal digits. x= y= Find the coordinates of the point on the unit circle corresponding to t4.887.Round your responses to 3 decimal digits

d. Use function notation to represent each of the following: i. The distance in meters between the tortoise and hare 8 seconds after the beginning of the race. syntax error ii. The distance of the tortoise from the starting line in meters 5.2 seconds after the start of the race. iii. An…

Determine the quadrant in which θ lies. sec(θ) > 0, cot(θ) < 0 Determine the quadrant in which θ lies sec(θ) > 0, cot(θ) < 0

Let heta be an angle in standard position tan heta >0,csc heta >0 Let 0 be an angle in standard position tan0>0.csc0>0

A snowball is thrown upward from a bridge into a river below. The function f(t)=-16t^(2)+35t+110 determines the height of the snowball above the surface of the water (in feet) in terms of the number of seconds t since the snowball was thrown. To help you answer questions c. and d., remember…

Find the domain of the function. Find the domain of the function 5y sy= Z+X All real numbers except y=7 All real numbers except y=-5/7 None of these All real numbers All real numbers except y=-7 Need Help? ReadIt

Find the exact value. If the value of the function is not defined, write undefined. cot(-(7pi )/(2)) Find the exact value. If the value of the function is not defined,write undefined 7T 2 cot

Fill in each blank so that the resulting statement is true. The perimeter of a rectangle is 94 feet. If the length of the rectangle is represented by x, its width can be expressed as The area of the rectangle, A(x), expressed in the form A(x)=ax^(2)+bx+c, is A(x)= Fill in each blank so that the…

b is:

sin heta =-(4)/(5), heta in Quadrant IV. 4 sin0= 15 0 in Quadrant IV

If cos( heta )=(3)/(4) and heta is in the 1 st quadrant, find the exact value of sin( heta ) 3 If cos(0)= and is in the 1st quadrant, find the exact value of sin( 4

Given: f(x) = -2x + 7, g(x) = x^2 - 6, h(x) = sqrt(x + 9), p(x) = (-1)/x For #1 - 5: a) State the indicated combined or composite function. b) State the domain of the new function. b) D: 1a) f(g(x)) = (f@g)(x) b) D: 2a) g(h(x)) = (g@h)(x) b) D: 3a) p(p(x)) = (p@p)(x) b) D: 4a)…

Find the reference angle for the given angles. Express your answers in degrees. Part 1 of 4 (a) -150deg heta ^(')= Part 2 of 4 (b) 240deg heta ^(')= Part: 2 / 4 Part 3 of 4 (c) -1035deg heta ^(')= Find the reference angle for the given angles. Express your answers in degrees. Part 1 of…

(a) How many solutions does the following equation have in the interval 0<= heta <2pi ? cos^(2)( heta )(5cos( heta )+7)=0 (a) How many solutions does the following equation have in the interval 0 < 2 ? cos25cos(+7=0 --Select---

Solve the problem. An airplane begins its descent with an average speed of 230mph at an angle of depression of 6deg . How much altitude will the plane lose in 5min ? Round to the nearest tenth of a mile. Select one: a. 4.8mi b. 1mi c. 2mi d. 2.4mi Solve the problem An airplane begins its…

Find the area of the sector of a circle with radius 3 meters formed by a central angle of (7pi )/(4) radians. Give your answer in terms of pi. 7TT Find the area of the sector of a circle with radius 3 meters formed by a central angle of 4 radians.Give your answer in terms of pi.

Find the coordinates of the point on the unit circle corresponding to t=(10π)/(3). Enter exact, symbolic values such as "sqrt(2)/2." x= y= Find the coordinates of the point on the unit circle corresponding to t=3 Enter exact, symbolic values such as "sqrt(2)/2." y=

Identify the phase shift and indicate whether the shift is to the left or to the right. Express your answers as simplified fractions if necessary. Part 1 of 3 (a) cos(x-(pi )/(8)) The phase shift is (pi )/(8) and the graph is shifted to the Part: (1)/(3) Part 2 of 3 (b) cos(4x-(pi )/(8)) The…

Use the appropriate identity to find the indicated function value. cos(θ), if sec(θ) = -3 Use the appropriate identity to find the indicated function value. cos(θ), if sec(θ) = 3

Please answer and explain, thank you. KI x T 1 TT 0.1 10TT 0.01 100T 0.001 1000T 0.0001 10000T 0 0 0 0 0 Ashley concludes: Since sin 0 for all the values I plugged in, and the values I used. Is Ashley's reasoning correct? Explain why or why not. Tian sees Ashley's work and says, "If I plug =0…

Given the formula for determining the volume of a sphere is V=(4)/(3)pi r^(3) : a. Write the equation that you would solve to determine the radius of a sphere that has a volume of 88 cubic inches. Preview b. Evaluate the volume of the sphere when r=5.4 inches. Select an answer Preview c. As the…

Since 2^(3)=8, explain why the exponent rules above would suggest that 8^((1)/(3))=2. What is the value of 8^((4)/(3)) ? (Hint: 8^((4)/(3))=8^(((1)/(3) imes 4)).) 3. Since 23=8,explain why the exponent rules above would suggest that 83 =2. What is the value of83?Hint:83=84.)

If heta =(pi )/(3), then sin( heta )= cos( heta )= If= K13 then sin(0) = cos=

Consider the following. 300(1.025)^(6t)=1300 (a) Find the exact solution of the exponential equation in terms of logarithms. t (b).Use.a.calculator to find an approximation to the solution rounded to six decimal places. t= Enter a number. Need Help? Consider the following. 3001.0256t=1300 a…

Consider vectors u and v. Find unit vector w in the direction of the cross product vector u imes v. Express your answer using standard unit vectors. u=vec(AB),v=vec(AC), where A(1,0,1),B(1,-1,5), and C(0,0,6) w= Additional Materials Consider vectors u and v.Find unit vector w in the direction…

What is the amplitude, period, phase shift of f(x)=-cos(2(x-(3pi )/(8)))? Amplitude Period Phase Shift 3TT What is the amplitude, period, phase shift of f() = --cos 8 Amplitude Period Phase Shift

Find the x - and y-intercepts of the graph of the equation y=x^(2)+3x-54. The x-intercept(s) have x= Note: If there is more than one, give a comma separated list. If there are none, type none. The y-intercept(s) have y= Note: If there is more than one, give a comma separated list. If there are…

Please help ive tried this like 20 times +5 6 7 8 9 10 11 Complete the fo wing aThe graph ofy=is s bThe graph of y=hx is sh EB Save For Lte

Using the triangle shown in Figure 7, evaluate sin t, cos t, tan t, sec t, csc t, and cot t. The opposite side to angle t has length 20, the adjacent side to angle t has length 21, and the hypotenuse has length 29. Enter the exact answers as fractions (they do not need to be reduced to lowest…

Let f(x)=(3x^(2)-13x-10)/(2x^(2)-1x-15) This function has: A y intercept at the point x intercepts at the point(s Vertical asymptotes at x= Rec 32-13x-10 Let f() 2x2-1x-15 This function has: 1Ay intercept at the point 2) x intercepts at the point(s) 3) Vertical asymptotes at x --

State the quadrant in which q lies if cot θ > 0 and sec θ > 0. Quadrant I Quadrant II Quadrant III Quadrant IV State the quadrant in which g lies if cot > 0 and sec > 0 Quadrant I Quadrant II Quadrant III Quadrant IV

y = (x^2 - 2x - 8) / ((x - 3)(x + 5))

Write an equation for a function that has a graph with the given characteristics. The shape of y=sqrt(x) that has been reflected across the Y-axis. Write an equation for a function that has a graph with the given characteristics The shape of y = / that has been reflected across the Y-axis.

A function f is given by the table. Find f^(-1)(2) able[[x,-1,0,2,3,7],[f(x),5,4,8,2,5]] A function f is given by the table.Find f-1(2 X -1 0 2 3 7 f(x) 5 4 8 2 5

The angle between 0deg and 360deg that is coterminal with the -1296deg angle is egrees. he angle between 0 and 360 that is coterminal with the -1296 angle is egrees.

Graph the following function over a two-period interval. Give the period and the amplitude. y=-5cos3pi x What is the period of the function y=-5cos3pi x ? Graph the following function over a two-period interval.Give the period and the amplitude K< y=-5cos3Tx What is the period of the function y…

Find the length s of the arc that subtends a central angle of measure 60 degrees in a circle of radius 18 m. (Round your answer to two decimal places.) s =

Algebraically solve for all point(s) of intersection of the two functions: f(x)=log_(3)(3x+6) g(x)=3-log_(3)(x+2) 2.Algebraically solve for all points of intersection of the two functions: fx=log3x+6 gx=3-logx+2

The reference angle of -(11)/(10) radians is The reference angle of- 1 10 radians is

Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at ((2)/(5),(√21)/(5)). Find the exact values of secθ, sinθ, and cotθ. Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at. Find the exact values of…

Find the reference angle for the given angles. If the angle is given in degrees, give the reference angle in degrees. If it is given in radians, give the reference angle in radians. Part: 0 / 4 Part 1 of 4 (a) (19pi )/(9) heta ^(')= Find the reference angle for the given angles.If the angle is…

Calculate the number of miles between the prime meridian (zero degrees) and a point 45 degrees east along the 30-degree parallel (cos 30° = 0.866).

Find the exact value of each of the remaining trigonometric functions of heta . sec heta =7,csc heta <0 Find the exact value of each of the remaining trigonometric functions of sec0=7,csc0<0

Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos(1) Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos(1)

If sin( heta )=-(1)/(7) and heta is in the 3rd quadrant, find cos( heta ) 1 and 0 is in the 3rd quadrant, find cos() 7 If sin(0=

Find the exact value of cos^(-1)(cos(pi )/(4)). Write your answer in radians in terms of pi . Find the exact value of cos Write your answer in radians in terms of t

If tan heta =11, find the exact value of cot((pi )/(2)- heta ). 39) If tan = 11, find the exact value of cot-

Section II: Free-Response The following are examples of the kinds of free-response questions found on the exam. PART A A graphing calculator is required for these questions. able[[x,1,2,3,4,5],[f(x),-10,-5,4,17,34]] Let f be an increasing function defined for x>=0. The table gives values of…

Use fundamental trigonometric identities to find the values of the functions. Simplify your answers as much as possible. Given sec heta =8 for heta in Quadrant IV, find csc heta and cos heta . Use fundamental trigonometric identities to find the values of the functions.Simplify your answers…

Use a calculator to find the value of the following expression rounded to two decimal places. sin^(-1)(-0.55) Use a calculator to find the value of the following expression rounded to two decimal places sin"1(-0.55

Find f@g, g@f, and g@g. f(x) = sqrt[3]{x-9}, g(x) = x^3 + 9 (a) f@g (b) g@f (c) g@g Find fog, gof, and gog f(x) = x/1, g(x) = x^3 + 9 (a) 6oJ (b) gof (c) gog

Find the signs of the six trigonometric function values for the given angle. 182deg Complete the table. Function sin182deg cos182deg tan182deg csc182deg sec182deg cot182deg Sign Find the signs of the six trigonometric function values for the given angle 182 Complete the…

Use the graph of y=f(x) to graph the function y=-f(4-x)+1. Label the points on the sketch. For each point on the graph of f(x), compute the location of the corresponding point on the graph of y=-f(4-x)+1. able[[ able[[Point on],[f(x) points on the sketch Use the graph of y=f(x) to graph the…

a. 5sin((t)/(7)) Amplitude = Frequency = Period =14 pi a.5sint/7 Amplitude= 5 Frequency= I Period= 14pi

A large pond is stocked with fish. The fish population P is modeled by the formula P = 4t + 10√t + 120, where t is the number of days since the fish were first introduced into the pond. How many days will it take for the fish population to reach 500? (Round your answer to the nearest whole…

The graph of ((x-2)^(2))/(16)-((y-1)^(2))/(25)=1 is which of the following? a. circle b. ellipse c. hyperbola d. parabola e. two intersecting lines x-2-1 0.The graph of 1 is which of the following 16 25 a.circle b.ellipse c.hyperbola d.parabola e.two intersecting lines

Step 3 Now, divide the interval into four equal parts and find the key points to graph the sine function. Minimum Intercept

Give an equation for the shifted graph. Then sketch the original and shifted graphs together. y=sqrt(x), Shifted Left 1.24 The equation for the shifted graph is y= Give an equation for the shifted graph. Then sketch the original and shifted graphs together. y=x, Left 1.24 Choose the correct…

The diagram below shows the graphs of y=sin2 heta The diagram below shows the graphs of y=sin2 heta and y=sin( heta -90deg ) in a certain interval. a. k= b. The number of solutions to the equation sin2 heta =sin( heta -90deg ) in the interval -270deg <= heta <=270deg is [ c. The largest of…

Find the remainder of 5x^(48)+6x^(10)-5x+5 divided by x-1 Find the remainder of 5x48+6x10-5x+5 divided by x-1

Solve the equation on the interval 0<= heta <2pi . 2sin heta +5=6 What are the solutions in the interval 0<= heta <2pi ? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is (Simplify your answer. Type an exact answer, using pi as needed. Type…

Consider the given function, q(x)=3x^(2)+15x-5. (a) State whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g) Determine the…

Find the exact value of each of the remaining trigonometric functions of heta . cos heta =-(3)/(5), heta in quadrant III Find the exact value of each of the remaining trigonometric functions of 9 3 cose= 5 ,0in quadrant III

Part D: Starting with h(x)=-2x^(2), apply a sequence of transformations that will transform h back into the original function f. Your formula for f should be in the form f(x)=A(x-H)^(2)+K for some constants A,H, and K. f(x)=-2x^(2)-4x+9 Part D: Starting with h() = -- 22, apply a sequence of…

Use the Factor Theorem to determine whether x-1 is a factor of P(x) = 2x^3 - 3x^2 - 4x + 8. Specifically, evaluate P at the proper value, and then determine whether x-1 is a factor: [[P(1) = ◻], [x-1 is a factor of P(x)], [x-1 is not a factor of P(x)]] Bookmarks ALEKS - Grace Medure Aktiv…

Identify the integrating factor for each of these linear differential equations. Your answer is incorrect. i.) (dy)/(dx)-8y=e^(-2x) e^(2x) e^(-2x) e^(8x) e^(-8x) eTextbook and Media Your answer is incorrect. ii.) (dy)/(dx)+(2)/(xlnx)y=2x^(3) (lnx)^(2) (lnx)^(2) (xlnx)^(3) (lnx)^(3) eTextbook…

Write the quadratic function in standard form. f(x) = -x^2 - 4x + 2 Sketch its graph. Graph Layers After you add an object to the graph, you can use Graph Layers to view and edit its properties. Identify the vertex, axis of symmetry, and x-intercept(s). (If an answer does not exist, enter…

Find the exact value of the expression. Do not use a calculator. sin73deg -cos17deg Find the exact value of the expression.Do not use a calculator sin73-cos17

*12-64. The motion of a train is described by the a-s graph shown. Draw the v-s graph if v=0 at s=0. Prob. 12-64 a(m/s2) 3 -s(m) 600 300 Prob.12-64

Alberta Diploma Question An amusement park has two ferris wheels that both load passengers at the bottom, 3m above the ground. Both wheels require 40 seconds to complete one revolution. The larger ferris wheel has a diameter of 25m and the smaller ferris wheel has a diameter of 10m. The height…

Find the exact value of the expression. sin(2sin^(-1)(-(12)/(13))) sin(2sin^(-1)(-(12)/(13)))= Find the exact value of the expression KK sin[2sn-1[-13]-

The angle between 0deg and 360deg that is coterminal with the -1296deg angle is degrees The angle between 0 and 360 that is coterminal with the -1296 angle is degrees.

Given the equation y = 5csc((π)/(3)x + (2π)/(3)), the period is: The horizontal shift is: units to the right. Given the equation y = 5csc((π)/(3)x + (2π)/(3)), the period is: The horizontal shift is: units to the right.

Directions: follow question directions carefully - don't forget to show work or reasoning if a question asks you to. At left below, the dotted line represents a toolkit function, and the solid line represents the transformed graph of the toolkit function. (a) write down the equation for the…

Find the reference number for t=-6.199 Round your response to 3 decimal places. Find the reference number for699 Round your response to 3 decimalplaces

Write the following expression in the standard form a+bi: (z)/(b)ar (z), where z=4-5i /bar (zz)=, (Simplify your answer.) Write the following expression in the standard form a+bi: zz, where z=45i ZZ (Simplify your answer.)

Consider the following. t=(19pi )/(6) (a) Find the reference number t for the value of t. (b) Find the terminal point determined by t (x,y)=(,) Consider the following it--19r aFind the reference number t for the value ol r. bFind the terminal point determined by (xy)

Tangent graph with shift Problem. Function: 3tan((2pi )/(5)x+(4pi )/(5)) Period p= ○ ,p=(pi )/(B) Flip-shift form: Atan(B(x-C)), chk =12 Phase shift C= sigma deg ,= center of strip of one period End of period =C+(p)/(2)= Shape =◯_(tan)-tan Tangent graph with shift Problem. 2TT Function: 3tan…

Use the right triangle below to answer the following: If a = 8 and b = 3, what is θ in degrees? Use the right triangle below to answer the following: If a = 8 and b = 3, what is θ in degrees?

Consider the function g(x)=(5x)/(x^(2)-9). What is the domain of g ? How do you know? Show all your work to justify your answer. 5x 7.Consider the function gx= What is the domain of g? How do you know? Show all your work to r2- justify your answer.

Current Attempt in Progress: Let P = f(t) = 1110(1.11)^t be the population of a community in a year t. If the percentage growth rate remains constant, approximately when will the population reach 3460 people? Round your answer to two decimal places. The population will reach 3460 people years…

Graph the following function over a two-period interval. Give the period and the amplitude. y=(1)/(3)cos(pi )/(2)x What is the period of the function y=(1)/(3)cos(pi )/(2)x ? Graph the following function over a two-period interval. Give the period and the amplitude. KK TC T

The expression log((x^(18)y^(17))/(z^(4))) can be written in the form Alog(x)+Blog(y)+Clog(z) where A=,B=,, and C= The expression log can be written in the form A log()+ Blog(y)+ Clog(z) where A= B= andC=

Find the area of the sector of a circle with radius 19 feet formed by a central angle of 135deg : square feet Find the area of the sector of a circle with radius 19 feet formed by a central angle of 135: square feet

Use an electronic calculator equipped with a power function to compute oot(6)(4096). oot(6)(4096)= (Type an integer or decimal rounded to four decimal places as needed.) Use an electronic calculator equipped with a power function to compute/4096 (Type an integer or decimal rounded to four…

[6] 1. Find the equation in general form of a line perpendicular to 3x+4y+12=0 that passes through the point (3,-1). Graph both lines, clearly labelling all intercepts. 1 [6] 1. Find the equation in general form of a line perpendicular to 3x +4y + 12= 0 that passes through the point 3,-l).Graph…

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. 1,3,6,9,... point(s)possibie common difference;if it is geometric,find the common ratio 1,3,6,9,..

Solve the triangle using the Law of Sines. (Assume c=80(,)/(_(A))=47deg , and /_(B)=15deg . Round lengths to two decimal places.) Solve the triangle using the Law of Sines.Assume c=80,A=47,and B= 15.Round lengths to two decimal places. Enter a number. a 8

For the function y=4sin((pi )/(2)x)+2 The amplitude is: For the function JT 2 x y = 4 sin +2 The amplitude is: A

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 origin, then shifted left 6 units. Write an equation for a function that has a graph with the given characteristics. The shape of y = V/ that is first…

Halla el valor de la expresión csc^(-1)(2), si está definida. π/2 π/1 π/6 π/0 Halla el valor de la expresión csc^(-2) si está definida π/2 π/6

Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINED.) sin(sin^(-1)((1)/(8))) Find the exact value of the expression,if it is defined.If an answer is undefined,enter UNDEFINED. sin(sin-1()

INSTRUCTIONS: Answer the following questions. Provide full solutions for full marks. Submit 1 assignment for each group. This assignment will also be evaluated on the creativity of the questions which you will be putting on chart paper. See attached rubric for design element. Part A: Knowledge…

For what values of x on the interval 0,5 is f(x)=0 ? a) 1 b) 2 c) 3 d) 4 e) 5 f) none of these For what values of x on the interval [0,5] is fx=0 a1 b)2 c3 d4 e5 f) none of these

At a point 550 feet away from the base of a building, the angle of elevation to the top of the building is 24. How tall is the building? Found to the nearest foot. At a point 550 feet away from the base of a building.the angle pf elevation to the top of the building is 24How tall is the…

The point ((1)/(sqrt(5)),-(2)/(sqrt(5))) lies on the graph of the unit circle and corresponds to a real number t. Find the exact values of the six trigonometric functions of t. 152 The point lies on the graph of the unit circle and corresponds to a real number t.Find the v5-15 exact values of…

f(x) = (sqrt(x + 5))/2

Find, using your calculator, the value for each of the following expressions. (a) e^(-0.1)+e^(-0.3)+e^(-0.5)+cdots+e^(-1.9) 8. Find, using your calculator, the value for each of the following expressions (a) e-0.1+ e-0.3 +e-0.5+...+e-1.9

12. Points LARPCALCLIM5 4.6.048.MI. Find the solutions of the equation in the interval -2π, 2π. Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.) tan(x) = -√3 x = (2π)/3, (4π)/3, -(2π)/3, -(4π)/3 13. Points LARPCALCLIM54.6.048.MI. Find the solutions…

Suppose the point (2,4) is on the graph of y=f(x). Find a point on the graph of the given function. y=-2f(x+3) 3. Suppose the point (2,4) is on the graph of y = f(x). Find a point on the graph of the given function.y=-2fx+3 h)

If a skateboarder lands on the ground after 3 seconds with a final velocity of -4.5(m)/(s), what is the skateboarder's horizontal displacement? The displacement cannot be determined from what is given. -4.5m -33.9m -13.5m Score The horizontal displacement can be determined from the information…

vii) A right triangle has hypotenuse of length 3.00m, and one of its angles is 40.0deg . What are the lengths of (a) the side opposite the 40.0deg angle (b) the side adjacent to 40.0deg angle (b) the side adjacent to 40.0 angle (a) the side opposite the 40.0 angle 40.0What are the lengths of

The given figure shows a transformation of the graph of f(x)=|x|. Write the equation for the transformed graph. The equation is y= (Type an expression using x as the variable. Do not simplify.) The given figure shows a transformation of the graph of f(x=x.Write the equation K< for the…

Find a cofunction equivalent to cos(2pi )/(11). 2T Find a cofunction equivalent to cos 11 st K

Find the sum. sum_(k=4)^8 k Find the sum. 8 k = 4

if h(x)=(8)/(x+4) and g(x)=x+4, find the function f(x) f(x)=(8)/(x)+4,f(x)=(8)/(x) f(x)=(x+4)/(8),f(x)=(x)/(8) f(x)=(x+4)/(x), 8 if h(x)= x+4 and g()=+4,find thefunction f() 8 Of(x)= +4 x Of(x= 8 Of(x)= x+4 Ofx)= 80 8 O f(x)= +4

If f(x) = sqrt[3]{x} and g(x) = x^2 + 89, simplify the expressions (f@g)(6), (f@f)(8), (g@f)(x), and (f@g)(x). (f@g)(6) = (f@f)(8) = (g@f)(x) = (f@g)(x) = If f(x) = 3x and g(x) = x + 89, simplify the expressions fg(6), ff(8), gfx, and fgx (fog)(6) = ff = gfx = fgx =

Construct an appropriate triangle to find the missing values. (0deg )<= heta <=90deg ,0<= heta <=((pi )/(2)) able[[function,tan],[ heta (deg),30deg Construct an appropriate triangle to find the missing values.0900T/2 function tan deg 30o rad function value

A circle has a radius of 8.5cm. A sector of the circle has a central angle of (pi )/(3) radians. Find the area of the sector: Do not round any intermediate computations. Round your answer to the nearest tenth. Do not round any intermediate computations. Round your answer to the nearest tenth.…

Question What is the measure of an angle heta that is coterminal with an angle of measure -(17pi )/(6) where 0<= heta <=2pi . Question What is the measure of an angle Othat is coterminal with an angle of measure 17where02T.

Find the exact value of the expression. tan((17pi )/(4)) Find the exact value of the expression 17T tan 4

Question 3 of 10 The statement ^(')cot heta =(12)/(5),sec heta =-(13)/(5), and the terminal point determined by heta is in quadrant 4 : A. cannot be true because 12^(2)+5^(2)!=1. B. cannot be true because if cot heta =-(12)/(5), then sec heta =+-(13)/(12). C. cannot be true because sec heta is…

Find the exact value of the expression. cos((17pi )/(6)) Find the exact value of the expression 17T coS 6

A mail-order gardening equipment business shipped 121 packages one day. Customers are charged $6.50 for each standard delivery package and $11.00 for each express-delivery package. Total shipping charges for the day were $989. How many of each kind of package were shipped? standard delivery…

Use the Angle Addition or Subtraction to find the following. Simplify and keep radicals.. no decimals please sin(165deg ) Use the Angle Addition or Subtraction to find the following Simplify and keep radicals.. no decimals please sin(165)

How long will it take $11,000 to grow to $15,000 if the investment earns interest at the rate of 4% per year compounded monthly? (Round your answer to two decimal places.) Submit Answer

cos heta =-(7)/(25), heta in quadrant III T cos0 Oin quadrant II! 25

A vehicle with 16 -inches diameter wheels is traveling at 65 miles per hour. (a) Find the angular speed of the wheels in radians per minute. (b) How many revolutions per minute do the wheels make? Round your answer to two decimal places. A vehicle with 16-inches diameter wheels is traveling at…

Sketch each of the following angles in standard position and then specify the reference angle or reference number.(a) -(pi )/(3) (b) (5pi )/(4) (c) -(5pi )/(6) 5T (b) 4 5TT 6 20. (a) TT (c) 3

Sketch the graph an describe the graph given by the following equations in R,R^(^(^()))2,R^(^(^()))3 a) y=2x-3 b) 4x^(2)+9y^(2)=36 c) x^(2)+z^(2)=16,y>=0 d) (z-2)^(2)+(y-5)^(2)=9 3) Sketch the graph an describe the graph given by the following equations in R, R^2, R^3 a) y = 2x - 3 b) 4x2+ 9y2=…

P(5,-2) is a point on the terminal arm of an angle heta in standard position. Let P^(') be the image of P after rotating 500deg counter-clockwise. P^(') is located in quadrant III in quadrant I in quadrant II in quadrant IV P(5, --2) is a point on the terminal arm of an angle in standard…

The reference angle of (6)/(5)pi radians is The reference angle of radians is

A rocket is launched upward from a launching pad and the function h determines the rocket's height above the launching pad (in miles) given a number of minutes t since the rocket was launched. a. What does the equality h(5)=574 convey about the rocket in this context? Select all that apply. The…

Find f@g,g@f, and g@g. f(x)= oot(3)(x-3),g(x)=x^(3)+3 (a) f@g (b) g@f (c) g@g Find f o g, g o f, and g o g. f(x) = /x - 3, g(x) =x3 + 3 (a) f o g (b) g o f (c) g o g

Find and simplify f(x+h). Simplify your answer f(x)=5-7x^(2) Find and simplify f(x+h).Simplify your answer. fx=5-7x

Give the solution to 5x+3<=2x+9<4x+1 in interval notation. Give the solution to 5x + 3 2x + 9 < 4x + 1 in interval notation.

Find the exact value of the following expression, if possible: sin^(-1)(sin(π)/(5)) Find the exact value of the following expression if possible: KK

If cos(θ) = -(4/7) and θ is in the 2nd quadrant, find sin(θ). sin(θ) = If cos(θ) = -(4/7) and θ is in the 2nd quadrant, find sin(θ). sin(θ)

Use the picture below to help arrange blood flow through the heart in order Use the picture below to help arrange blood flow through the heart in order 12 6 6 5 8 7 7 4 11 9 1 2 3 10

feet? 23. A sector of a circle has a central angle of 45deg . Find the area of the sector if the radius of the circle is 6cm. feet? 23.A sector of a circle has a central angle of 45.Find the area of the sector if the radius of the circle is 6 cm

This exercise involves the formula for the area of a circular sector. A sector of a circle has a central angle of 175 degrees. Find the area of the sector if the radius of the circle is 6 ft. (Round your answer to one decimal place.) ft^2 Need Help?

Sketch the graphs of y=f(x), and y=(1)/(f(x)) on the same axes. a) State the reciprocal function b) State and label the asymptotes (horizontal and vertical) c) State and label the invariant points d) State and label the intercepts e) State the domain and range of each function 1 on the same…

Simplify the following intervals. Write your solution in interval or set notation. (a) (1,7]cup (0,9) 1. (/4) Simplify the following intervals. Write your solution in interval or set notation a1,7]U0,9

Score on last attempt: 0 out of 2 (parts: 0/1, 0/1) Score in gradebook: 0 out of 2 (parts: 0/1, 0/1) Suppose we want to choose a value of x within 4 units of 13. [This means a value of x that is less than 4 units away from 13.] a. Think about some values of x that meet this constraint. b.…

Use reference angles to find the exact value of the following expression. Do not use a calculator. sin(-120deg ) Use reference angles to find the exact value of the following expression. Do not use a calculator KK sin(-120)

The function below has at least one rational zero. Use this fact to find all zeros of the function. f(x)=5x^(4)-3x^(3)-33x^(2)-11x+6 The function below has at least one rational zero Use this fact to find all zeros of the function. f(x)=5x4-3x3-33x2-11x+6 If there is more t

Fill in the blanks. (Enter the domain and the range in interval notation.) able[[Function,Alternative Notation,Domain,Range],[y=arctanx,y=,]] Fill in the blanks. (Enter the domain and the range in interval notation) Function: y=arctanx Alternative Notation: Domain: Range:

Write a formula for the function g(x) obtained when the graph of f(x)=√(x) is shifted up 1 unit and to the left 2 units. g(x) = √(x+2) + 1 Recall the definitions of a horizontal and a vertical shift to a function. How are vertical shifts attained by manipulating the output, and Write a…

Complete the following. (a) The graph of y=h(x) is shown. Draw the graph of y=h(2x)+3. (b) The graph of y=g(x) is shown. Draw the graph of y=-g(x)-2. Complete the following a) The graph of y = hx) is shown. Draw the graph of y= h(2x)+3. b) The graph of y=gx) is shown.Draw the graph of y = -gx)…

Use reference angles to find the exact value of the following expression. tan300deg Select the correct choice below and, if necessary, fill in the answer box to complete your A. tan300deg = (Simplify your answer. Type an exact answer, using radicals as needed. Use intec B. The answer is…

(Topic 3.3) The point (6, -6√3) lies in the coordinate plane at the intersection of the terminal ray of an angle θ, -π ≤ x ≤ π, and a circle of radius r. What is the value of θ? (A) -π/6 (B) -π/3 (C) 2π/3 (D) 5π/6 11. (Topic 3.3) The point (6, -6√3) lies in the coordinate plane at the…

Write an equation for the line parallel to g(x) = 6x + 1 and passing through the point (3, -7). Write the answer in slope-intercept form. Thank you. help(equations)

Suppose you have 1640 meters of fencing available with which to build three adjacent rectangular corrais as shown in the figure. Find the dimensions so that the total enclosed area is as large as possible. The smaller side is meters The longer side is meters 0/1pt2 Suppose you have 1640 meters…

The percent of a country's population that is foreign born can be modeled by the equation y=0.005x^(2)-0.488x+19.802, where x is the number of years after 1900 . a. Is the vertex of the graph of this function a maximum or a minimum? b. Assuming that the pattern indicated by this model remains…

a. 7sin(2t) Amplitude = Frequency = Period =pl a. 3sin(4t) Amplitude = Frequency = Period = a. -2sin(9pi t) Amplitude = Frequency = Period = a. 2sin((t)/(7)) Amplitude = Frequency = Period = a.7sin2t) Amplitude Frequency- Period- pi a.3sin4t Amplitude Frequency Period= a.-2sin9t…

Q 2.8.f.i. Largest apparent diameter of Sun? 0 degrees 32 minutes 1.0 degree 0 minutes 32 degrees 15 minutes 5 degrees 14 minutes Q2.8.f.i. Largest apparent diameter of Sun? O 0 degrees 32 minutes O 1.0 degree 0 minutes O 32 degrees 15 minutes O 5 degrees 14 minutes

Given the function f(x) = (2x^2 - 7x - 4)/(x^2 - 16): a) What is the domain? (2 pts) b) What is the vertical asymptote(s)? (1 pt) Answer: x = c) What is the horizontal asymptote? (1 pt) Answer: y = d) What is the point of discontinuity (hole)? (2 pts) Answer: (x - 16) a) What is the domain? (2…

Given the equation y = 7tan(4x + 20) The period is: The horizontal shift is: units to the Question Help: Video Given the equation y = 7tan(4x + 20) The period is: The horizontal shift is: units to the Select an answer Question Help Video Add Work Submit Question

Find all values of x such that f(x)=0. f(x)=(4x-5)/(6) x= Need Help? Find all values of x such that f(x) = 0. f(x)=4x-5 6 x = x Need Help? Rad It

b) Find the frequency and period of a sine wave having an angular velocity of 0.16 rad/s.

Find an angle θ with 0 < θ < 2π radians that has the same: Sine function value as (7π)/(6) θ = 5π/6 radians Cosine function value as (7π)/(6) θ = 5π/6 radians Find an angle with 0 < < 2T radians that has the same: 7T Sine function value as 6 θ = π/6 radians 7T Cosine function value as 6 θ =…

Cooper Section 12.1 #2 What are the amplitude, frequency, and period of the following? a. 8sin(4t) Amplitude = Frequency = Period = a. 7sin(9t) Amplitude = Frequency = Period = a. -5sin(4pi t) Amplitude = Frequency = Period = a. 4sin((t)/(6)) Amplitude = Frequency = Period = Online Math Lab…

Graph the system of inequalities: 1. x + 2y <= 15 2. 2x - y >= 0 3. x - y >= 3 Graph Layers: - Line 1: x + 2y <= 15 - Line 2: 2x - y >= 0 - Line 3: x - y >= 3 Please note that the graphing tool provided does not show any solution.

5log(x) - 2log(x^2 + 1) + 2log(x - 1) as a single logarithm log A. Then the function A = 5log(x) - 2log(x + 1) + 2log(x - 1) as a single logarithm log A. Then the function A =

Convert the radian measure to degrees. (2pi )/(15) Convert the radian measure to degrees 2T 15 K

Determina para qué valores del ángulo θ la función f(θ) = cot(θ) no está definida. Question 4: Determina para qué valores del ángulo la función f(θ) = cot(θ) no está definida.

Suppose $1300 is invested in an account yielding interest at a nominal rate of 6% per year. Find the balance six years later if the interest is compounded quarterly. Round your answer to two decimal places. Suppose $1300 is invested in an account yielding interest at a nominal rate of 6% per…

Question 2 2 pts Solve the equation 2*e^(4t)-1=5. Round your answer to 4 decimal places. Question2 2pts Solve the equation 2 . e4t -- 1 = 5 . Round your answer to 4 decimal places.

Suppose that θ is an angle whose terminal side contains the point P(3,-2). Find the exact value of cos θ. cos θ = Suppose that θ is an angle whose terminal side contains the point P(3, -2). Find the exact value of cos θ. cos θ =

Review: 13. The point (-2, -6) is on the terminal side of angle θ in standard position. Find the exact value of cos θ. Review: Find the exact value of cos θ. 13. The point (-2, -6) is on the terminal side of angle θ in standard position.

Find the first and second derivatives. y=5x+4 (dy)/(dx)= Find the first and second derivatives y=5+4

Find all the real zeros of the following polynomial. f(x)=x^(5)+3x^(3)-10x Write your answers as exact values. Find all the real zeros of the following polynomial. f3x10x Write your answers as exact values.

Find all solutions to the equation. 2sin heta +sqrt(2)=0 Write your answer in radians in terms of pi , and use the "or" button as necessary. Find all solutions to the equation. 2sin0+2=0 Write your answer in radians in terms of tt, and use the"or" button as necessary.

Put the equation that is in general form: y=x^(2)+12x+35 into standard form: y=(x-h)^(2)+k : Answer: y= Put the equation that is in general form: y=+12+35 into standard form:y=-h+k: Answer:y=

Ali places a bottle of water inside a cooler. As the water cools, its temperature C(t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler. C(t)=2+20e^(-0.05t) Ali wants to drink the water when it reaches a…

Write the following expression in terms of its cofunction. cos(3pi )/(8) Write the following expression in terms of its cofunction 3Tt COS 8

Use synthetic division to divide x^(3)+5x^(2)+13x+17 by x+2 Give your answer in the form quotient +( remainder )/( divisor ) if necessary. 1 5 13 17 answer = Use synthetic division to divide 3+52+13+17 by +2 Give your answer in the form remainder quotient if necessary. divisor 5 13 17 answer=

csc(x) = 1/sin(x)

If sin heta =(1)/(5) and (pi )/(2)< heta <(3pi )/(2), find the exact value of tan heta . If sin0= 1 and 2I2 0 3T 15 2 find the exact value of tan 0

Consider the functions f(x)=-4x-2 and g(x)=sqrt(-x+4). Determine each of the following. f@g(x)= Give the domain of f@g(x). g@f(x)= Give the domain of g@f(x). Consider the functions f(c) = - 4 - 2 and g() - + 4: Determine each of the following f o g(x) = Give the domain of f o g() g o…

Find the value of s in the interval 0, π/2 that satisfies the given statement. tan(s) = 0.7399 s = radians (Round to four decimal places as needed.) Find the value of s in the interval 0, π/2 that satisfies the given statement. tan(s) = 0.7399 s radians (Round to four decimal places as…

Question 4 1pt If sin( heta )=-(4sqrt(3))/(7) and heta is in the 3rd quadrant, find the exact value of cos( heta ) cos( heta )= Question 4 1pt 4V3 and 0 is in the 3rd quadrant,find the exact value of cos 7 If sin0)= cos=

Fill in the blanks with positive integers such that the second missing integer (the one with the degree sign) is between 0 and 360. The curve represents the graph of y = cos(x + 120°). Fill in the blanks with positive integers such that the second missing integer (the one with the degree sign)…

Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=5x^(3)-9x^(2)-6x+8 Use the Rational Zeros Theorem to find all the real zeros of the polynomial function.Use the zeros to factor f over thereal…

Consider the following functions. f(x) = x^2, g(x) = √(x - 7) Find (f@g)(x). Find the domain of (f@g)(x). (Enter your answer using interval notation.) Find (g@f)(x). Find the domain of (g@f)(x). (Enter your answer using interval notation.) Find (f@f)(x). Find the domain of (f@f)(x). (Enter your…

(a) Determine the net change between the indicated points on the graph. 5 (a) Determine the net change between the indicated points on the graph

Rewrite (-16x^(2)-9x+9)/(4x^(2)+x-1) in the form q(x)+(r(x))/(4x^(2)+x-1) (-16x^(2)-9x+9)/(4x^(2)+x-1)=,+()/(4x^(2)+x-1) Rewrite -16x2-9x+9 4x2+x-1 in the form q(x 4x2+x-1 16x2-9x+9 4x2+x-1 1 4x2+x-1

Use the pair of functions f and g to find the domain of the indicated function, then find and simplify an expression for it. f(x) = x - 2 and g(x) = 1/(x - 2) (a) (f+g)(x) Domain (f+g)(x) = x - 2 + 1/(x - 2) (b) (f-g)(x) Domain (c) (fg)(x) Domain (d) (f/g)(x) Domain Use the pair of functions f…

Find the reference angle for the angle (41pi )/(6). The reference angle is 41T Find the reference angle for the angle 6 KK The reference angle is

a. A function N=f(y) gives the number of police officers, N, in a town in year y. What does f(2005)= 300 represent? b. Use function notation to express the weight of a pig in pounds as a function of its age in days. 1. A function N=f() gives the number of police officers,N, in a town in year…

The statement f(9)=-8 corresponds to what ordered pair? The statement f9--8corresponds to what ordered pair?

Use reference angles to find the exact value of the following expression. Do not use a calculator. cot(23pi )/(3) Use reference angles to find the exact value of the following expression.Do not use a calculator 23Tt cot 3

Given that a force vector has components ( 120N,-60.0N, find the magnitude of the vector. Multiple Choice 140N 134N 180N 60.0N Given that a force vector has components (120 N, -60.0 N), find the magnitude of the vector. Multiple Choice 140N 134N 180N 60.0N

Find the exact value of the remaining trigonometric functions of heta . tan heta =(24)/(7),sin heta <0 Find the exact value of the remaining trigonometric functions of o 24 tan0= 7sin00

Let ( g(x) = 4x^2 - 9 ) (a) Find the average rate of change from -3 to 4. (b) Find an equation of the secant line containing (-3, g(-3)) and (4, g(4)). (a) The average rate of change from -3 to 4 is . (Simplify your answer.)

Suppose that sec(t)=3x for 0<=t<(pi )/(2). Find expressions for cos(t) and sin(t) in terms of x. cos(t)= sin(t)= Suppose that sect=3x for 0t< .Find expressions for cos(t and sin(t in terms of x =(so5 sin(t)=

A box with a square base and no top is to be made from a square piece of cardboard by cutting 8 in. squares from each corner and folding up the sides. The box is to hold 24200 in^3. How big a piece of cardboard is needed? Your answer is: in. by in.

Starting with the graph of f(x)=4^(x), write the formula for the function that results from: (a) shifting f(x) 5 units downward. y= (b) shifting f(x) 7 units to the right. y= (c) reflecting f(x) about the y-axis. y=

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 π Use the (x, y) coordinates in the figure to find the value of the trigonometric function at the indicated real number, t,…

Find the exact value of the expression. sec((29pi )/(3)) Find the exact value of the expression 29T sec 31

Find the exact value of cot^(-1)((sqrt(3))/(3)). KF Find the exact value of cot

Find f@g and g@f. f(x)= oot(3)(x-7),g(x)=x^(3)+1 (a) f@g (b) g@f Find the domain of each function and each composite function. (Enter your answers domain of f domain of g domain of f@g domain of g@f Find f o g and g of. f(x)=/x-7gx=3+1 a}fog b gof Find the domain of each function and each…

Problem 4: For an arbitrary angle heta , tan( heta )=sin( heta )/(cos( heta )) tan( heta )=sin( heta )/(cotan( heta )) tan( heta )=cos( heta )/(sin( /&theta )) cotan( heta )=sin( heta )/(cos( heta )) None of above Problem 4: For an arbitrary angle 0, tan0=sin/cos0 tan0=sin0/cotan0 tan…

Which of these is a possible solution for secx-2=0 in the interval x in [0,2π]? a. x=(2π)/(3) c. x=(4π)/(3) b. x=(5π)/(3) d. x=(π)/(6) Which of these is a possible solution for secx-2=0 in the interval x in [0,2π]? a. x=3 c. x=(5π)/(3) b. x= d. x=6

Find the acute angle heta that satisfies the given equation. Express your answer as an inverse trigonometric function and as the measure of heta in degrees. sin heta =(1)/(2) Express heta as an inverse trigonometric function. heta = (Type an exact answer, using radicals as needed. Use…

Use transformations to help graph the function f(x) = 3^(x) + 3. Identify the domain, range, and horizontal asymptote. Determine whether the function is increasing or decreasing. Use transformations to help graph the function f(x) = 3x + 3. Identify the domain, range, and horizontal asymptote.…

Convert the angle to D° M' S'' form. 28.362° 28.362° = (Round to the nearest second as needed.) Convert the angle to D M'S form 28.362 28.362 = (Round to the nearest second as needed)

Find the reference number for each value of t given below and find the terminal point P(x,y) determined by t. a) (11pi )/(6) b) -(7pi )/(5) c) t=5 4) Find the reference number for each value of t given below and find the terminal point P(x,y) determined by t a) 117 1TT b) 5 c) t=5

Find the values of the trigonometric functions of θ from the information given. cot(θ) = -(6)/(7), cos(θ) > 0 sin(θ) = cos(θ) = tan(θ) = csc(θ) = sec(θ) = Find the values of the trigonometric functions of a from the information given cot(9) = cos(0) = sin(0) = cos(0) = tan(0) = csc(0) = sec(0)

Verify the identity. (Simplify at each step.) (1 + sin α)(1 - sin α) = cos^2 α (1 + sin α)(1 - sin α) = 1 - sin^2 α = cos^2 α Verify the identity. (Simplify at each step.) 1 + sin α - sin α = cos 2 α 1 + sin α - sin α = 1

Find the coordinates of the point on the unit circle corresponding to t=4.887. Round your responses to 3 decimal digits. x= y= Find the coordinates of the point on the unit circle corresponding to t4.887.Round your responses to 3 decimal digits

d. Use function notation to represent each of the following: i. The distance in meters between the tortoise and hare 8 seconds after the beginning of the race. syntax error ii. The distance of the tortoise from the starting line in meters 5.2 seconds after the start of the race. iii. An…

Determine the quadrant in which θ lies. sec(θ) > 0, cot(θ) < 0 Determine the quadrant in which θ lies sec(θ) > 0, cot(θ) < 0

Let heta be an angle in standard position tan heta >0,csc heta >0 Let 0 be an angle in standard position tan0>0.csc0>0

A snowball is thrown upward from a bridge into a river below. The function f(t)=-16t^(2)+35t+110 determines the height of the snowball above the surface of the water (in feet) in terms of the number of seconds t since the snowball was thrown. To help you answer questions c. and d., remember…

Find the domain of the function. Find the domain of the function 5y sy= Z+X All real numbers except y=7 All real numbers except y=-5/7 None of these All real numbers All real numbers except y=-7 Need Help? ReadIt

Find the exact value. If the value of the function is not defined, write undefined. cot(-(7pi )/(2)) Find the exact value. If the value of the function is not defined,write undefined 7T 2 cot

Fill in each blank so that the resulting statement is true. The perimeter of a rectangle is 94 feet. If the length of the rectangle is represented by x, its width can be expressed as The area of the rectangle, A(x), expressed in the form A(x)=ax^(2)+bx+c, is A(x)= Fill in each blank so that the…

b is:

sin heta =-(4)/(5), heta in Quadrant IV. 4 sin0= 15 0 in Quadrant IV

If cos( heta )=(3)/(4) and heta is in the 1 st quadrant, find the exact value of sin( heta ) 3 If cos(0)= and is in the 1st quadrant, find the exact value of sin( 4

Given: f(x) = -2x + 7, g(x) = x^2 - 6, h(x) = sqrt(x + 9), p(x) = (-1)/x For #1 - 5: a) State the indicated combined or composite function. b) State the domain of the new function. b) D: 1a) f(g(x)) = (f@g)(x) b) D: 2a) g(h(x)) = (g@h)(x) b) D: 3a) p(p(x)) = (p@p)(x) b) D: 4a)…

Find the reference angle for the given angles. Express your answers in degrees. Part 1 of 4 (a) -150deg heta ^(')= Part 2 of 4 (b) 240deg heta ^(')= Part: 2 / 4 Part 3 of 4 (c) -1035deg heta ^(')= Find the reference angle for the given angles. Express your answers in degrees. Part 1 of…

(a) How many solutions does the following equation have in the interval 0<= heta <2pi ? cos^(2)( heta )(5cos( heta )+7)=0 (a) How many solutions does the following equation have in the interval 0 < 2 ? cos25cos(+7=0 --Select---

Solve the problem. An airplane begins its descent with an average speed of 230mph at an angle of depression of 6deg . How much altitude will the plane lose in 5min ? Round to the nearest tenth of a mile. Select one: a. 4.8mi b. 1mi c. 2mi d. 2.4mi Solve the problem An airplane begins its…

Find the area of the sector of a circle with radius 3 meters formed by a central angle of (7pi )/(4) radians. Give your answer in terms of pi. 7TT Find the area of the sector of a circle with radius 3 meters formed by a central angle of 4 radians.Give your answer in terms of pi.

Find the coordinates of the point on the unit circle corresponding to t=(10π)/(3). Enter exact, symbolic values such as "sqrt(2)/2." x= y= Find the coordinates of the point on the unit circle corresponding to t=3 Enter exact, symbolic values such as "sqrt(2)/2." y=

Identify the phase shift and indicate whether the shift is to the left or to the right. Express your answers as simplified fractions if necessary. Part 1 of 3 (a) cos(x-(pi )/(8)) The phase shift is (pi )/(8) and the graph is shifted to the Part: (1)/(3) Part 2 of 3 (b) cos(4x-(pi )/(8)) The…

Use the appropriate identity to find the indicated function value. cos(θ), if sec(θ) = -3 Use the appropriate identity to find the indicated function value. cos(θ), if sec(θ) = 3

Please answer and explain, thank you. KI x T 1 TT 0.1 10TT 0.01 100T 0.001 1000T 0.0001 10000T 0 0 0 0 0 Ashley concludes: Since sin 0 for all the values I plugged in, and the values I used. Is Ashley's reasoning correct? Explain why or why not. Tian sees Ashley's work and says, "If I plug =0…

Given the formula for determining the volume of a sphere is V=(4)/(3)pi r^(3) : a. Write the equation that you would solve to determine the radius of a sphere that has a volume of 88 cubic inches. Preview b. Evaluate the volume of the sphere when r=5.4 inches. Select an answer Preview c. As the…

Since 2^(3)=8, explain why the exponent rules above would suggest that 8^((1)/(3))=2. What is the value of 8^((4)/(3)) ? (Hint: 8^((4)/(3))=8^(((1)/(3) imes 4)).) 3. Since 23=8,explain why the exponent rules above would suggest that 83 =2. What is the value of83?Hint:83=84.)

If heta =(pi )/(3), then sin( heta )= cos( heta )= If= K13 then sin(0) = cos=

Consider the following. 300(1.025)^(6t)=1300 (a) Find the exact solution of the exponential equation in terms of logarithms. t (b).Use.a.calculator to find an approximation to the solution rounded to six decimal places. t= Enter a number. Need Help? Consider the following. 3001.0256t=1300 a…

Consider vectors u and v. Find unit vector w in the direction of the cross product vector u imes v. Express your answer using standard unit vectors. u=vec(AB),v=vec(AC), where A(1,0,1),B(1,-1,5), and C(0,0,6) w= Additional Materials Consider vectors u and v.Find unit vector w in the direction…

What is the amplitude, period, phase shift of f(x)=-cos(2(x-(3pi )/(8)))? Amplitude Period Phase Shift 3TT What is the amplitude, period, phase shift of f() = --cos 8 Amplitude Period Phase Shift

Find the x - and y-intercepts of the graph of the equation y=x^(2)+3x-54. The x-intercept(s) have x= Note: If there is more than one, give a comma separated list. If there are none, type none. The y-intercept(s) have y= Note: If there is more than one, give a comma separated list. If there are…

Please help ive tried this like 20 times +5 6 7 8 9 10 11 Complete the fo wing aThe graph ofy=is s bThe graph of y=hx is sh EB Save For Lte

Using the triangle shown in Figure 7, evaluate sin t, cos t, tan t, sec t, csc t, and cot t. The opposite side to angle t has length 20, the adjacent side to angle t has length 21, and the hypotenuse has length 29. Enter the exact answers as fractions (they do not need to be reduced to lowest…

Let f(x)=(3x^(2)-13x-10)/(2x^(2)-1x-15) This function has: A y intercept at the point x intercepts at the point(s Vertical asymptotes at x= Rec 32-13x-10 Let f() 2x2-1x-15 This function has: 1Ay intercept at the point 2) x intercepts at the point(s) 3) Vertical asymptotes at x --

State the quadrant in which q lies if cot θ > 0 and sec θ > 0. Quadrant I Quadrant II Quadrant III Quadrant IV State the quadrant in which g lies if cot > 0 and sec > 0 Quadrant I Quadrant II Quadrant III Quadrant IV

y = (x^2 - 2x - 8) / ((x - 3)(x + 5))

Write an equation for a function that has a graph with the given characteristics. The shape of y=sqrt(x) that has been reflected across the Y-axis. Write an equation for a function that has a graph with the given characteristics The shape of y = / that has been reflected across the Y-axis.

A function f is given by the table. Find f^(-1)(2) able[[x,-1,0,2,3,7],[f(x),5,4,8,2,5]] A function f is given by the table.Find f-1(2 X -1 0 2 3 7 f(x) 5 4 8 2 5

The angle between 0deg and 360deg that is coterminal with the -1296deg angle is egrees. he angle between 0 and 360 that is coterminal with the -1296 angle is egrees.

Graph the following function over a two-period interval. Give the period and the amplitude. y=-5cos3pi x What is the period of the function y=-5cos3pi x ? Graph the following function over a two-period interval.Give the period and the amplitude K< y=-5cos3Tx What is the period of the function y…

Find the length s of the arc that subtends a central angle of measure 60 degrees in a circle of radius 18 m. (Round your answer to two decimal places.) s =

Algebraically solve for all point(s) of intersection of the two functions: f(x)=log_(3)(3x+6) g(x)=3-log_(3)(x+2) 2.Algebraically solve for all points of intersection of the two functions: fx=log3x+6 gx=3-logx+2

The reference angle of -(11)/(10) radians is The reference angle of- 1 10 radians is

Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at ((2)/(5),(√21)/(5)). Find the exact values of secθ, sinθ, and cotθ. Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at. Find the exact values of…

Find the reference angle for the given angles. If the angle is given in degrees, give the reference angle in degrees. If it is given in radians, give the reference angle in radians. Part: 0 / 4 Part 1 of 4 (a) (19pi )/(9) heta ^(')= Find the reference angle for the given angles.If the angle is…

Calculate the number of miles between the prime meridian (zero degrees) and a point 45 degrees east along the 30-degree parallel (cos 30° = 0.866).

Find the exact value of each of the remaining trigonometric functions of heta . sec heta =7,csc heta <0 Find the exact value of each of the remaining trigonometric functions of sec0=7,csc0<0

Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos(1) Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos(1)

If sin( heta )=-(1)/(7) and heta is in the 3rd quadrant, find cos( heta ) 1 and 0 is in the 3rd quadrant, find cos() 7 If sin(0=

Find the exact value of cos^(-1)(cos(pi )/(4)). Write your answer in radians in terms of pi . Find the exact value of cos Write your answer in radians in terms of t

If tan heta =11, find the exact value of cot((pi )/(2)- heta ). 39) If tan = 11, find the exact value of cot-

Section II: Free-Response The following are examples of the kinds of free-response questions found on the exam. PART A A graphing calculator is required for these questions. able[[x,1,2,3,4,5],[f(x),-10,-5,4,17,34]] Let f be an increasing function defined for x>=0. The table gives values of…

Use fundamental trigonometric identities to find the values of the functions. Simplify your answers as much as possible. Given sec heta =8 for heta in Quadrant IV, find csc heta and cos heta . Use fundamental trigonometric identities to find the values of the functions.Simplify your answers…

Use a calculator to find the value of the following expression rounded to two decimal places. sin^(-1)(-0.55) Use a calculator to find the value of the following expression rounded to two decimal places sin"1(-0.55

Find f@g, g@f, and g@g. f(x) = sqrt[3]{x-9}, g(x) = x^3 + 9 (a) f@g (b) g@f (c) g@g Find fog, gof, and gog f(x) = x/1, g(x) = x^3 + 9 (a) 6oJ (b) gof (c) gog

Find the signs of the six trigonometric function values for the given angle. 182deg Complete the table. Function sin182deg cos182deg tan182deg csc182deg sec182deg cot182deg Sign Find the signs of the six trigonometric function values for the given angle 182 Complete the…

Use the graph of y=f(x) to graph the function y=-f(4-x)+1. Label the points on the sketch. For each point on the graph of f(x), compute the location of the corresponding point on the graph of y=-f(4-x)+1. able[[ able[[Point on],[f(x) points on the sketch Use the graph of y=f(x) to graph the…

a. 5sin((t)/(7)) Amplitude = Frequency = Period =14 pi a.5sint/7 Amplitude= 5 Frequency= I Period= 14pi

A large pond is stocked with fish. The fish population P is modeled by the formula P = 4t + 10√t + 120, where t is the number of days since the fish were first introduced into the pond. How many days will it take for the fish population to reach 500? (Round your answer to the nearest whole…

The graph of ((x-2)^(2))/(16)-((y-1)^(2))/(25)=1 is which of the following? a. circle b. ellipse c. hyperbola d. parabola e. two intersecting lines x-2-1 0.The graph of 1 is which of the following 16 25 a.circle b.ellipse c.hyperbola d.parabola e.two intersecting lines

Step 3 Now, divide the interval into four equal parts and find the key points to graph the sine function. Minimum Intercept

Give an equation for the shifted graph. Then sketch the original and shifted graphs together. y=sqrt(x), Shifted Left 1.24 The equation for the shifted graph is y= Give an equation for the shifted graph. Then sketch the original and shifted graphs together. y=x, Left 1.24 Choose the correct…

The diagram below shows the graphs of y=sin2 heta The diagram below shows the graphs of y=sin2 heta and y=sin( heta -90deg ) in a certain interval. a. k= b. The number of solutions to the equation sin2 heta =sin( heta -90deg ) in the interval -270deg <= heta <=270deg is [ c. The largest of…

Find the remainder of 5x^(48)+6x^(10)-5x+5 divided by x-1 Find the remainder of 5x48+6x10-5x+5 divided by x-1

Solve the equation on the interval 0<= heta <2pi . 2sin heta +5=6 What are the solutions in the interval 0<= heta <2pi ? Select the correct choice and fill in any answer boxes in your choice below. A. The solution set is (Simplify your answer. Type an exact answer, using pi as needed. Type…

Consider the given function, q(x)=3x^(2)+15x-5. (a) State whether the graph of the parabola opens upward or downward. (b) Identify the vertex. (c) Determine the x-intercept(s). (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g) Determine the…

Find the exact value of each of the remaining trigonometric functions of heta . cos heta =-(3)/(5), heta in quadrant III Find the exact value of each of the remaining trigonometric functions of 9 3 cose= 5 ,0in quadrant III

Part D: Starting with h(x)=-2x^(2), apply a sequence of transformations that will transform h back into the original function f. Your formula for f should be in the form f(x)=A(x-H)^(2)+K for some constants A,H, and K. f(x)=-2x^(2)-4x+9 Part D: Starting with h() = -- 22, apply a sequence of…

Use the Factor Theorem to determine whether x-1 is a factor of P(x) = 2x^3 - 3x^2 - 4x + 8. Specifically, evaluate P at the proper value, and then determine whether x-1 is a factor: [[P(1) = ◻], [x-1 is a factor of P(x)], [x-1 is not a factor of P(x)]] Bookmarks ALEKS - Grace Medure Aktiv…

Identify the integrating factor for each of these linear differential equations. Your answer is incorrect. i.) (dy)/(dx)-8y=e^(-2x) e^(2x) e^(-2x) e^(8x) e^(-8x) eTextbook and Media Your answer is incorrect. ii.) (dy)/(dx)+(2)/(xlnx)y=2x^(3) (lnx)^(2) (lnx)^(2) (xlnx)^(3) (lnx)^(3) eTextbook…

Write the quadratic function in standard form. f(x) = -x^2 - 4x + 2 Sketch its graph. Graph Layers After you add an object to the graph, you can use Graph Layers to view and edit its properties. Identify the vertex, axis of symmetry, and x-intercept(s). (If an answer does not exist, enter…

Find the exact value of the expression. Do not use a calculator. sin73deg -cos17deg Find the exact value of the expression.Do not use a calculator sin73-cos17

*12-64. The motion of a train is described by the a-s graph shown. Draw the v-s graph if v=0 at s=0. Prob. 12-64 a(m/s2) 3 -s(m) 600 300 Prob.12-64

Alberta Diploma Question An amusement park has two ferris wheels that both load passengers at the bottom, 3m above the ground. Both wheels require 40 seconds to complete one revolution. The larger ferris wheel has a diameter of 25m and the smaller ferris wheel has a diameter of 10m. The height…

Find the exact value of the expression. sin(2sin^(-1)(-(12)/(13))) sin(2sin^(-1)(-(12)/(13)))= Find the exact value of the expression KK sin[2sn-1[-13]-

The angle between 0deg and 360deg that is coterminal with the -1296deg angle is degrees The angle between 0 and 360 that is coterminal with the -1296 angle is degrees.

Given the equation y = 5csc((π)/(3)x + (2π)/(3)), the period is: The horizontal shift is: units to the right. Given the equation y = 5csc((π)/(3)x + (2π)/(3)), the period is: The horizontal shift is: units to the right.

Directions: follow question directions carefully - don't forget to show work or reasoning if a question asks you to. At left below, the dotted line represents a toolkit function, and the solid line represents the transformed graph of the toolkit function. (a) write down the equation for the…

Find the reference number for t=-6.199 Round your response to 3 decimal places. Find the reference number for699 Round your response to 3 decimalplaces

Write the following expression in the standard form a+bi: (z)/(b)ar (z), where z=4-5i /bar (zz)=, (Simplify your answer.) Write the following expression in the standard form a+bi: zz, where z=45i ZZ (Simplify your answer.)

Consider the following. t=(19pi )/(6) (a) Find the reference number t for the value of t. (b) Find the terminal point determined by t (x,y)=(,) Consider the following it--19r aFind the reference number t for the value ol r. bFind the terminal point determined by (xy)

Tangent graph with shift Problem. Function: 3tan((2pi )/(5)x+(4pi )/(5)) Period p= ○ ,p=(pi )/(B) Flip-shift form: Atan(B(x-C)), chk =12 Phase shift C= sigma deg ,= center of strip of one period End of period =C+(p)/(2)= Shape =◯_(tan)-tan Tangent graph with shift Problem. 2TT Function: 3tan…

Use the right triangle below to answer the following: If a = 8 and b = 3, what is θ in degrees? Use the right triangle below to answer the following: If a = 8 and b = 3, what is θ in degrees?

Consider the function g(x)=(5x)/(x^(2)-9). What is the domain of g ? How do you know? Show all your work to justify your answer. 5x 7.Consider the function gx= What is the domain of g? How do you know? Show all your work to r2- justify your answer.

Current Attempt in Progress: Let P = f(t) = 1110(1.11)^t be the population of a community in a year t. If the percentage growth rate remains constant, approximately when will the population reach 3460 people? Round your answer to two decimal places. The population will reach 3460 people years…

Graph the following function over a two-period interval. Give the period and the amplitude. y=(1)/(3)cos(pi )/(2)x What is the period of the function y=(1)/(3)cos(pi )/(2)x ? Graph the following function over a two-period interval. Give the period and the amplitude. KK TC T

The expression log((x^(18)y^(17))/(z^(4))) can be written in the form Alog(x)+Blog(y)+Clog(z) where A=,B=,, and C= The expression log can be written in the form A log()+ Blog(y)+ Clog(z) where A= B= andC=

Find the area of the sector of a circle with radius 19 feet formed by a central angle of 135deg : square feet Find the area of the sector of a circle with radius 19 feet formed by a central angle of 135: square feet

Use an electronic calculator equipped with a power function to compute oot(6)(4096). oot(6)(4096)= (Type an integer or decimal rounded to four decimal places as needed.) Use an electronic calculator equipped with a power function to compute/4096 (Type an integer or decimal rounded to four…

[6] 1. Find the equation in general form of a line perpendicular to 3x+4y+12=0 that passes through the point (3,-1). Graph both lines, clearly labelling all intercepts. 1 [6] 1. Find the equation in general form of a line perpendicular to 3x +4y + 12= 0 that passes through the point 3,-l).Graph…

Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is geometric, find the common ratio. 1,3,6,9,... point(s)possibie common difference;if it is geometric,find the common ratio 1,3,6,9,..

Solve the triangle using the Law of Sines. (Assume c=80(,)/(_(A))=47deg , and /_(B)=15deg . Round lengths to two decimal places.) Solve the triangle using the Law of Sines.Assume c=80,A=47,and B= 15.Round lengths to two decimal places. Enter a number. a 8

For the function y=4sin((pi )/(2)x)+2 The amplitude is: For the function JT 2 x y = 4 sin +2 The amplitude is: A

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 origin, then shifted left 6 units. Write an equation for a function that has a graph with the given characteristics. The shape of y = V/ that is first…

Halla el valor de la expresión csc^(-1)(2), si está definida. π/2 π/1 π/6 π/0 Halla el valor de la expresión csc^(-2) si está definida π/2 π/6

Find the exact value of the expression, if it is defined. (If an answer is undefined, enter UNDEFINED.) sin(sin^(-1)((1)/(8))) Find the exact value of the expression,if it is defined.If an answer is undefined,enter UNDEFINED. sin(sin-1()

INSTRUCTIONS: Answer the following questions. Provide full solutions for full marks. Submit 1 assignment for each group. This assignment will also be evaluated on the creativity of the questions which you will be putting on chart paper. See attached rubric for design element. Part A: Knowledge…

For what values of x on the interval 0,5 is f(x)=0 ? a) 1 b) 2 c) 3 d) 4 e) 5 f) none of these For what values of x on the interval [0,5] is fx=0 a1 b)2 c3 d4 e5 f) none of these

At a point 550 feet away from the base of a building, the angle of elevation to the top of the building is 24. How tall is the building? Found to the nearest foot. At a point 550 feet away from the base of a building.the angle pf elevation to the top of the building is 24How tall is the…

The point ((1)/(sqrt(5)),-(2)/(sqrt(5))) lies on the graph of the unit circle and corresponds to a real number t. Find the exact values of the six trigonometric functions of t. 152 The point lies on the graph of the unit circle and corresponds to a real number t.Find the v5-15 exact values of…

f(x) = (sqrt(x + 5))/2

Find, using your calculator, the value for each of the following expressions. (a) e^(-0.1)+e^(-0.3)+e^(-0.5)+cdots+e^(-1.9) 8. Find, using your calculator, the value for each of the following expressions (a) e-0.1+ e-0.3 +e-0.5+...+e-1.9

12. Points LARPCALCLIM5 4.6.048.MI. Find the solutions of the equation in the interval -2π, 2π. Use a graphing utility to verify your results. (Enter your answers as a comma-separated list.) tan(x) = -√3 x = (2π)/3, (4π)/3, -(2π)/3, -(4π)/3 13. Points LARPCALCLIM54.6.048.MI. Find the solutions…

Suppose the point (2,4) is on the graph of y=f(x). Find a point on the graph of the given function. y=-2f(x+3) 3. Suppose the point (2,4) is on the graph of y = f(x). Find a point on the graph of the given function.y=-2fx+3 h)

If a skateboarder lands on the ground after 3 seconds with a final velocity of -4.5(m)/(s), what is the skateboarder's horizontal displacement? The displacement cannot be determined from what is given. -4.5m -33.9m -13.5m Score The horizontal displacement can be determined from the information…

vii) A right triangle has hypotenuse of length 3.00m, and one of its angles is 40.0deg . What are the lengths of (a) the side opposite the 40.0deg angle (b) the side adjacent to 40.0deg angle (b) the side adjacent to 40.0 angle (a) the side opposite the 40.0 angle 40.0What are the lengths of

The given figure shows a transformation of the graph of f(x)=|x|. Write the equation for the transformed graph. The equation is y= (Type an expression using x as the variable. Do not simplify.) The given figure shows a transformation of the graph of f(x=x.Write the equation K< for the…

Find a cofunction equivalent to cos(2pi )/(11). 2T Find a cofunction equivalent to cos 11 st K

Find the sum. sum_(k=4)^8 k Find the sum. 8 k = 4

if h(x)=(8)/(x+4) and g(x)=x+4, find the function f(x) f(x)=(8)/(x)+4,f(x)=(8)/(x) f(x)=(x+4)/(8),f(x)=(x)/(8) f(x)=(x+4)/(x), 8 if h(x)= x+4 and g()=+4,find thefunction f() 8 Of(x)= +4 x Of(x= 8 Of(x)= x+4 Ofx)= 80 8 O f(x)= +4

If f(x) = sqrt[3]{x} and g(x) = x^2 + 89, simplify the expressions (f@g)(6), (f@f)(8), (g@f)(x), and (f@g)(x). (f@g)(6) = (f@f)(8) = (g@f)(x) = (f@g)(x) = If f(x) = 3x and g(x) = x + 89, simplify the expressions fg(6), ff(8), gfx, and fgx (fog)(6) = ff = gfx = fgx =

Construct an appropriate triangle to find the missing values. (0deg )<= heta <=90deg ,0<= heta <=((pi )/(2)) able[[function,tan],[ heta (deg),30deg Construct an appropriate triangle to find the missing values.0900T/2 function tan deg 30o rad function value

A circle has a radius of 8.5cm. A sector of the circle has a central angle of (pi )/(3) radians. Find the area of the sector: Do not round any intermediate computations. Round your answer to the nearest tenth. Do not round any intermediate computations. Round your answer to the nearest tenth.…

Question What is the measure of an angle heta that is coterminal with an angle of measure -(17pi )/(6) where 0<= heta <=2pi . Question What is the measure of an angle Othat is coterminal with an angle of measure 17where02T.

Find the exact value of the expression. tan((17pi )/(4)) Find the exact value of the expression 17T tan 4

Question 3 of 10 The statement ^(')cot heta =(12)/(5),sec heta =-(13)/(5), and the terminal point determined by heta is in quadrant 4 : A. cannot be true because 12^(2)+5^(2)!=1. B. cannot be true because if cot heta =-(12)/(5), then sec heta =+-(13)/(12). C. cannot be true because sec heta is…

Find the exact value of the expression. cos((17pi )/(6)) Find the exact value of the expression 17T coS 6

A mail-order gardening equipment business shipped 121 packages one day. Customers are charged $6.50 for each standard delivery package and $11.00 for each express-delivery package. Total shipping charges for the day were $989. How many of each kind of package were shipped? standard delivery…

Use the Angle Addition or Subtraction to find the following. Simplify and keep radicals.. no decimals please sin(165deg ) Use the Angle Addition or Subtraction to find the following Simplify and keep radicals.. no decimals please sin(165)

How long will it take $11,000 to grow to $15,000 if the investment earns interest at the rate of 4% per year compounded monthly? (Round your answer to two decimal places.) Submit Answer

cos heta =-(7)/(25), heta in quadrant III T cos0 Oin quadrant II! 25

A vehicle with 16 -inches diameter wheels is traveling at 65 miles per hour. (a) Find the angular speed of the wheels in radians per minute. (b) How many revolutions per minute do the wheels make? Round your answer to two decimal places. A vehicle with 16-inches diameter wheels is traveling at…

Sketch each of the following angles in standard position and then specify the reference angle or reference number.(a) -(pi )/(3) (b) (5pi )/(4) (c) -(5pi )/(6) 5T (b) 4 5TT 6 20. (a) TT (c) 3

Sketch the graph an describe the graph given by the following equations in R,R^(^(^()))2,R^(^(^()))3 a) y=2x-3 b) 4x^(2)+9y^(2)=36 c) x^(2)+z^(2)=16,y>=0 d) (z-2)^(2)+(y-5)^(2)=9 3) Sketch the graph an describe the graph given by the following equations in R, R^2, R^3 a) y = 2x - 3 b) 4x2+ 9y2=…

P(5,-2) is a point on the terminal arm of an angle heta in standard position. Let P^(') be the image of P after rotating 500deg counter-clockwise. P^(') is located in quadrant III in quadrant I in quadrant II in quadrant IV P(5, --2) is a point on the terminal arm of an angle in standard…

The reference angle of (6)/(5)pi radians is The reference angle of radians is

A rocket is launched upward from a launching pad and the function h determines the rocket's height above the launching pad (in miles) given a number of minutes t since the rocket was launched. a. What does the equality h(5)=574 convey about the rocket in this context? Select all that apply. The…

Find f@g,g@f, and g@g. f(x)= oot(3)(x-3),g(x)=x^(3)+3 (a) f@g (b) g@f (c) g@g Find f o g, g o f, and g o g. f(x) = /x - 3, g(x) =x3 + 3 (a) f o g (b) g o f (c) g o g

Find and simplify f(x+h). Simplify your answer f(x)=5-7x^(2) Find and simplify f(x+h).Simplify your answer. fx=5-7x

Give the solution to 5x+3<=2x+9<4x+1 in interval notation. Give the solution to 5x + 3 2x + 9 < 4x + 1 in interval notation.

Find the exact value of the following expression, if possible: sin^(-1)(sin(π)/(5)) Find the exact value of the following expression if possible: KK

If cos(θ) = -(4/7) and θ is in the 2nd quadrant, find sin(θ). sin(θ) = If cos(θ) = -(4/7) and θ is in the 2nd quadrant, find sin(θ). sin(θ)

Use the picture below to help arrange blood flow through the heart in order Use the picture below to help arrange blood flow through the heart in order 12 6 6 5 8 7 7 4 11 9 1 2 3 10

feet? 23. A sector of a circle has a central angle of 45deg . Find the area of the sector if the radius of the circle is 6cm. feet? 23.A sector of a circle has a central angle of 45.Find the area of the sector if the radius of the circle is 6 cm

This exercise involves the formula for the area of a circular sector. A sector of a circle has a central angle of 175 degrees. Find the area of the sector if the radius of the circle is 6 ft. (Round your answer to one decimal place.) ft^2 Need Help?

Sketch the graphs of y=f(x), and y=(1)/(f(x)) on the same axes. a) State the reciprocal function b) State and label the asymptotes (horizontal and vertical) c) State and label the invariant points d) State and label the intercepts e) State the domain and range of each function 1 on the same…

Simplify the following intervals. Write your solution in interval or set notation. (a) (1,7]cup (0,9) 1. (/4) Simplify the following intervals. Write your solution in interval or set notation a1,7]U0,9

Score on last attempt: 0 out of 2 (parts: 0/1, 0/1) Score in gradebook: 0 out of 2 (parts: 0/1, 0/1) Suppose we want to choose a value of x within 4 units of 13. [This means a value of x that is less than 4 units away from 13.] a. Think about some values of x that meet this constraint. b.…

Use reference angles to find the exact value of the following expression. Do not use a calculator. sin(-120deg ) Use reference angles to find the exact value of the following expression. Do not use a calculator KK sin(-120)

The function below has at least one rational zero. Use this fact to find all zeros of the function. f(x)=5x^(4)-3x^(3)-33x^(2)-11x+6 The function below has at least one rational zero Use this fact to find all zeros of the function. f(x)=5x4-3x3-33x2-11x+6 If there is more t

Fill in the blanks. (Enter the domain and the range in interval notation.) able[[Function,Alternative Notation,Domain,Range],[y=arctanx,y=,]] Fill in the blanks. (Enter the domain and the range in interval notation) Function: y=arctanx Alternative Notation: Domain: Range:

Write a formula for the function g(x) obtained when the graph of f(x)=√(x) is shifted up 1 unit and to the left 2 units. g(x) = √(x+2) + 1 Recall the definitions of a horizontal and a vertical shift to a function. How are vertical shifts attained by manipulating the output, and Write a…

Complete the following. (a) The graph of y=h(x) is shown. Draw the graph of y=h(2x)+3. (b) The graph of y=g(x) is shown. Draw the graph of y=-g(x)-2. Complete the following a) The graph of y = hx) is shown. Draw the graph of y= h(2x)+3. b) The graph of y=gx) is shown.Draw the graph of y = -gx)…

Use reference angles to find the exact value of the following expression. tan300deg Select the correct choice below and, if necessary, fill in the answer box to complete your A. tan300deg = (Simplify your answer. Type an exact answer, using radicals as needed. Use intec B. The answer is…

(Topic 3.3) The point (6, -6√3) lies in the coordinate plane at the intersection of the terminal ray of an angle θ, -π ≤ x ≤ π, and a circle of radius r. What is the value of θ? (A) -π/6 (B) -π/3 (C) 2π/3 (D) 5π/6 11. (Topic 3.3) The point (6, -6√3) lies in the coordinate plane at the…

Write an equation for the line parallel to g(x) = 6x + 1 and passing through the point (3, -7). Write the answer in slope-intercept form. Thank you. help(equations)

Suppose you have 1640 meters of fencing available with which to build three adjacent rectangular corrais as shown in the figure. Find the dimensions so that the total enclosed area is as large as possible. The smaller side is meters The longer side is meters 0/1pt2 Suppose you have 1640 meters…

The percent of a country's population that is foreign born can be modeled by the equation y=0.005x^(2)-0.488x+19.802, where x is the number of years after 1900 . a. Is the vertex of the graph of this function a maximum or a minimum? b. Assuming that the pattern indicated by this model remains…

a. 7sin(2t) Amplitude = Frequency = Period =pl a. 3sin(4t) Amplitude = Frequency = Period = a. -2sin(9pi t) Amplitude = Frequency = Period = a. 2sin((t)/(7)) Amplitude = Frequency = Period = a.7sin2t) Amplitude Frequency- Period- pi a.3sin4t Amplitude Frequency Period= a.-2sin9t…

Q 2.8.f.i. Largest apparent diameter of Sun? 0 degrees 32 minutes 1.0 degree 0 minutes 32 degrees 15 minutes 5 degrees 14 minutes Q2.8.f.i. Largest apparent diameter of Sun? O 0 degrees 32 minutes O 1.0 degree 0 minutes O 32 degrees 15 minutes O 5 degrees 14 minutes

Given the function f(x) = (2x^2 - 7x - 4)/(x^2 - 16): a) What is the domain? (2 pts) b) What is the vertical asymptote(s)? (1 pt) Answer: x = c) What is the horizontal asymptote? (1 pt) Answer: y = d) What is the point of discontinuity (hole)? (2 pts) Answer: (x - 16) a) What is the domain? (2…

Given the equation y = 7tan(4x + 20) The period is: The horizontal shift is: units to the Question Help: Video Given the equation y = 7tan(4x + 20) The period is: The horizontal shift is: units to the Select an answer Question Help Video Add Work Submit Question

Find all values of x such that f(x)=0. f(x)=(4x-5)/(6) x= Need Help? Find all values of x such that f(x) = 0. f(x)=4x-5 6 x = x Need Help? Rad It

b) Find the frequency and period of a sine wave having an angular velocity of 0.16 rad/s.

Find an angle θ with 0 < θ < 2π radians that has the same: Sine function value as (7π)/(6) θ = 5π/6 radians Cosine function value as (7π)/(6) θ = 5π/6 radians Find an angle with 0 < < 2T radians that has the same: 7T Sine function value as 6 θ = π/6 radians 7T Cosine function value as 6 θ =…

Cooper Section 12.1 #2 What are the amplitude, frequency, and period of the following? a. 8sin(4t) Amplitude = Frequency = Period = a. 7sin(9t) Amplitude = Frequency = Period = a. -5sin(4pi t) Amplitude = Frequency = Period = a. 4sin((t)/(6)) Amplitude = Frequency = Period = Online Math Lab…

Graph the system of inequalities: 1. x + 2y <= 15 2. 2x - y >= 0 3. x - y >= 3 Graph Layers: - Line 1: x + 2y <= 15 - Line 2: 2x - y >= 0 - Line 3: x - y >= 3 Please note that the graphing tool provided does not show any solution.

5log(x) - 2log(x^2 + 1) + 2log(x - 1) as a single logarithm log A. Then the function A = 5log(x) - 2log(x + 1) + 2log(x - 1) as a single logarithm log A. Then the function A =

Convert the radian measure to degrees. (2pi )/(15) Convert the radian measure to degrees 2T 15 K

Determina para qué valores del ángulo θ la función f(θ) = cot(θ) no está definida. Question 4: Determina para qué valores del ángulo la función f(θ) = cot(θ) no está definida.

Suppose $1300 is invested in an account yielding interest at a nominal rate of 6% per year. Find the balance six years later if the interest is compounded quarterly. Round your answer to two decimal places. Suppose $1300 is invested in an account yielding interest at a nominal rate of 6% per…

Question 2 2 pts Solve the equation 2*e^(4t)-1=5. Round your answer to 4 decimal places. Question2 2pts Solve the equation 2 . e4t -- 1 = 5 . Round your answer to 4 decimal places.

Suppose that θ is an angle whose terminal side contains the point P(3,-2). Find the exact value of cos θ. cos θ = Suppose that θ is an angle whose terminal side contains the point P(3, -2). Find the exact value of cos θ. cos θ =

Review: 13. The point (-2, -6) is on the terminal side of angle θ in standard position. Find the exact value of cos θ. Review: Find the exact value of cos θ. 13. The point (-2, -6) is on the terminal side of angle θ in standard position.

Find the first and second derivatives. y=5x+4 (dy)/(dx)= Find the first and second derivatives y=5+4

Find all the real zeros of the following polynomial. f(x)=x^(5)+3x^(3)-10x Write your answers as exact values. Find all the real zeros of the following polynomial. f3x10x Write your answers as exact values.

Find all solutions to the equation. 2sin heta +sqrt(2)=0 Write your answer in radians in terms of pi , and use the "or" button as necessary. Find all solutions to the equation. 2sin0+2=0 Write your answer in radians in terms of tt, and use the"or" button as necessary.

Put the equation that is in general form: y=x^(2)+12x+35 into standard form: y=(x-h)^(2)+k : Answer: y= Put the equation that is in general form: y=+12+35 into standard form:y=-h+k: Answer:y=

Ali places a bottle of water inside a cooler. As the water cools, its temperature C(t) in degrees Celsius is given by the following function, where t is the number of minutes since the bottle was placed in the cooler. C(t)=2+20e^(-0.05t) Ali wants to drink the water when it reaches a…

Write the following expression in terms of its cofunction. cos(3pi )/(8) Write the following expression in terms of its cofunction 3Tt COS 8

Use synthetic division to divide x^(3)+5x^(2)+13x+17 by x+2 Give your answer in the form quotient +( remainder )/( divisor ) if necessary. 1 5 13 17 answer = Use synthetic division to divide 3+52+13+17 by +2 Give your answer in the form remainder quotient if necessary. divisor 5 13 17 answer=

csc(x) = 1/sin(x)

If sin heta =(1)/(5) and (pi )/(2)< heta <(3pi )/(2), find the exact value of tan heta . If sin0= 1 and 2I2 0 3T 15 2 find the exact value of tan 0

Consider the functions f(x)=-4x-2 and g(x)=sqrt(-x+4). Determine each of the following. f@g(x)= Give the domain of f@g(x). g@f(x)= Give the domain of g@f(x). Consider the functions f(c) = - 4 - 2 and g() - + 4: Determine each of the following f o g(x) = Give the domain of f o g() g o…

Find the value of s in the interval 0, π/2 that satisfies the given statement. tan(s) = 0.7399 s = radians (Round to four decimal places as needed.) Find the value of s in the interval 0, π/2 that satisfies the given statement. tan(s) = 0.7399 s radians (Round to four decimal places as…

Question 4 1pt If sin( heta )=-(4sqrt(3))/(7) and heta is in the 3rd quadrant, find the exact value of cos( heta ) cos( heta )= Question 4 1pt 4V3 and 0 is in the 3rd quadrant,find the exact value of cos 7 If sin0)= cos=

Fill in the blanks with positive integers such that the second missing integer (the one with the degree sign) is between 0 and 360. The curve represents the graph of y = cos(x + 120°). Fill in the blanks with positive integers such that the second missing integer (the one with the degree sign)…

Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=5x^(3)-9x^(2)-6x+8 Use the Rational Zeros Theorem to find all the real zeros of the polynomial function.Use the zeros to factor f over thereal…

Consider the following functions. f(x) = x^2, g(x) = √(x - 7) Find (f@g)(x). Find the domain of (f@g)(x). (Enter your answer using interval notation.) Find (g@f)(x). Find the domain of (g@f)(x). (Enter your answer using interval notation.) Find (f@f)(x). Find the domain of (f@f)(x). (Enter your…

(a) Determine the net change between the indicated points on the graph. 5 (a) Determine the net change between the indicated points on the graph

Rewrite (-16x^(2)-9x+9)/(4x^(2)+x-1) in the form q(x)+(r(x))/(4x^(2)+x-1) (-16x^(2)-9x+9)/(4x^(2)+x-1)=,+()/(4x^(2)+x-1) Rewrite -16x2-9x+9 4x2+x-1 in the form q(x 4x2+x-1 16x2-9x+9 4x2+x-1 1 4x2+x-1

Use the pair of functions f and g to find the domain of the indicated function, then find and simplify an expression for it. f(x) = x - 2 and g(x) = 1/(x - 2) (a) (f+g)(x) Domain (f+g)(x) = x - 2 + 1/(x - 2) (b) (f-g)(x) Domain (c) (fg)(x) Domain (d) (f/g)(x) Domain Use the pair of functions f…

Find the reference angle for the angle (41pi )/(6). The reference angle is 41T Find the reference angle for the angle 6 KK The reference angle is

a. A function N=f(y) gives the number of police officers, N, in a town in year y. What does f(2005)= 300 represent? b. Use function notation to express the weight of a pig in pounds as a function of its age in days. 1. A function N=f() gives the number of police officers,N, in a town in year…

The statement f(9)=-8 corresponds to what ordered pair? The statement f9--8corresponds to what ordered pair?

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