In Problems 39-58, find the exact value, if any, of each composite function. If there is no value, say it is “not defined." Do not use a calculator. 37 37 39. cos -- cos -1 40. sin sin 41. tan 42. sin sin tan 5 10 8 5m 97 43. sin- sin 8 44. cos- cos 45. tan tan 46. tan- tan 37 37 47. cos cos 48. sin sin 49. tan tan 2. 50. tan tan 4 \ sl. sin sin :) 51. sin 52. cos cos 53. tan ( tan-14) 54. tan[tan-'(-2)] cos (cos-1.2) 56. sin[sin-(-2)] 57. tan ( tan-') 58. sin[sin-"(-15)]

Q: = tan x. bns znoitsailggA 1oolems 43-48, use the figures to evaluate each function if f (x) = sin x,…

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Q: In Problems 45–48, find (f° g)(x) and (g ° f)(x), and graph each of these functions. 45. f(x) 46.…

A: f(x)=tan x g(x)=4x

Q: t solve problem 9

A: Introduction: In vector calculus and differential pure mathematics, the derived function is…

Q: Book Problem # 12 -Sin (x)• COS (x) • Sec(x)• SCCx) • tan (x) Cotx)

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Q: Problem 28. Justo has a twelve-foot ladder leaning against a vertical wall as shown below. Mr.…

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Q: In Problems 43–48, use the figures to evaluate each function if f(x) = sin x, g(x) = cos x, and h…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3 (that is 43, 44, 45). Please…

Q: Problem 9 Provide an example of each case or else explain why the request is impossible. (a) Two…

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Q: Problem 10.2.3. We can modify the proof of the case f(a) v > f(b). However, there is a sneakier way…

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Q: In Problems 15–26, find the exact value of each expression. 15. sin'0 16. cos1 17. sin (-1) 18. cos…

A: The given expression is sin-10

Q: 6 If sin x 7 =

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Q: 1. Draw the graph of the function defined by the equation z = sin 0 for values of 0 from -360° to…

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Q: If f(x) = -2[cos (2x)] +5[sin(3x)] is a neither function. Determine value for a and B. a=3 and B=2…

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Q: Question 8 Describe a function with an oscillating discontinuity at 0.

A: Discontinuous functions are those functions which are not continuous at one point. There are several…

Q: In Problems 95–106, f(0) = sin 0 and g(0) = cos 0. Find the exact value of each function below if 0…

A: 95. fθ=f60°=sin60°=32 96. gθ=g60°=cos60°=12 97. fθ2=f30°=sin30°=12

Q: In Problem, f(θ)=sinθ and g(θ)=cosθ Find the exact value of each function below θ=60° . if Do not…

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Q: In Problems 24-32, graph each function. Each graph should contain at least two periods. Use the…

A: Functions are given

Q: In Problem, f(θ)=sinθ and g(θ)=cosθ Find the exact value of each function below θ=60° . if Do not…

A: Given- fθ=sinθ and gθ=cosθ To Find-  The exact value of above function at θ=60°.

Q: given the function y=k(c) shown below, discuss whether rolle's theorem can be applied on the stated…

A: Given the graph of y = k (x)

Q: In Problems 79–82, find (fº g) (x) and (g•1 (x), and graph each of these functions. 79. f(x) = sin x…

A: since you have posted multiple questions, so we solve the first three parts for you, to get the…

Q: Problem #3 Suppose that y = er - 1le" + 18r –1 on the interval [0,2]. Determine whether or not the…

A: Solution

Q: 16. If the range of the exponential function f(x) = a(7)² + c is the set {y € Ry<9}, which of the…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: If a function has an amplitude, it will always be equal to the value of a. O True O False

A: Yes, amplitude always is the value of a. But you should have provided the equation.

Q: An equilateral triangle is inscribed in a circle of radius r. See the figure in Problem 16. Express…

A: Side length of triangle=x  Radius of circle =r

Q: In Problems 93–95, find the real zeros of each trigonometric function on the interval 0 ≤ θ &lt;…

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Q: Find the exact value xs8(x) = cos x, 0 s xS 7, and h(x) = tan x. <x< In Problems 67–78, f(x) = sin…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 34 (a) Show that Deven(x) = t(v(x) + u(– x) is always even. (b) Show that Poda(x) = {(»(x) – v(– x))…

A: The function f is an even function if f(-x)=f(x) and f is an odd function if f(-x)=-f(x).

Q: In Problems 35–38, find the amplitude, period, and phase shift of each function. Graph each…

A: 35). Given function is y=4sin3x. To find the amplitude, period and phase shift of function and graph…

Q: Problem 1: Use the Four-Step Rule f(x) = cos(x) f(x) = x2 - x3 f(x) = tan(x)

A: The roman numbers in the circle are the four steps of each solution. L'Hospital's rule is used in…

Q: Problem 3: As discussed, the piecewise expression for |x| is given as S+x, |xl ={-x, x2 0 x< 0 a.…

A: The piecewise expression for x is given as: |x|=+x,   x≥0-x,   x&lt;0

Q: PROBLEMS 1. Differentiate the following functions (assuming the lowercase letters to be the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: If x is in radians, the derivative of sin(x) is cos(x). Find the derivative of sin(x) when x is in…

A: Given, sinx°  We have to find the derivative of  sinx°.

Q: What happens when you try to find cot 0  0 on your calculator? Why does this happen?

A: When we try to find cot0° in calculator, Its will show ERROR.

Q: 15(- + 16.5 2 = 15 cos 15 + 16.5 = 15 cos y = y = |

A: The first function is: y=15cosπ15t-π2+16.5 Second function is: y=15cosπ15t-152+16.5

Q: In Problems 107–116, f(x) = sin x, g(x) = cos x, h(x) = 2x, and p(x) = Find the value of each of the…

A: Given: fx=sinx, gx=cosx, hx=2x and px=x2. 107). To find f + g30°. Solution: First we will find f+gx.…

Q: The hyperbolic cosine function, designated by cosh x, is defined as cosh x = 1 /2 (ex + e-x ) (a)…

A: coshx=12ex+e-x a). f-x=cosh-x=12e-x+e--x=12e-x+ex=12ex+e-x=coshx=fx Therefore fx=coshx is an even…

Q: Problem 5: An unfolded piece of paper is 0.05 mm thick. 1. Complete the table with the thickness of…

A: Note: According to Bartley guidelines we can do only one question so please upload next question…

Q: Problem #7 Find f'(x) if Ax) = tan-"(2x² - 4)

A: We differentiating both sides with respect to x and solve it. See 2ndnd step.

Q: nctions For each of the functions in Problems 30 to 33, find f + g, fg, and, flg. Also give the…

A: Given f(x) ,g(x) are given now we have to  find f+g,fig,f/g as shown below

Q: INTEGRATE THE FOLLOWING FUNCTION. secvtanvdv PROBLEM I: 4 secv +3

A: Topic:- integration  Note :- as per our guideline if more than one question uploaded than only first…

Q: In Problems 33-48, find the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: A In Problems 9–14, sketch a possible graph of a function that satis- fies the given conditions at x…

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Q: PROBLEM 1 Let f (x) = -x – 8x + 32x2 + 384x + 69. 51.1 You may use this input box as a calculator.…

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Q: 404 CHAPTER6 Trigonometric Functions In Problems 35-42, sin and cos e are given. Find the exact…

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Q: Question 5 Find the ninety-ninth derivative of the function f (x) = cos(2x). O f(99) (x) = 2}00…

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Q: Problem 6. For the function y = 3 give an interval where the Mean Val.ue Th orem DOES NOT 9pply

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Q: Problem # 2 3 sin x If f(x) = 3 + cos x Find f'(x) =

A: We will find f'(x) as following.

Q: Question 23 Find the inflection points for the function given. Ax) = 8x + 2- sin x, 0 <x <3x Select…

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Q: Problem 1. (a) Show that that 1 – tanh² x = sech² x and use it to prove that sech(tanh x) = v1 – x².

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In Problems 23–38, for the given functions f and g, find: (a) fog (b) gof State the domain of each…

A: As per our guidelines I am solving only first question with all sub parts kindly resubmit other…

Q: Consider the function if a € Q f(x) = -x if r ¢ Q. Prove that f'(0) = 0. Hint: The fact stated in…

A: Topic- application of derivatives