Let f(x) = sin x, -5sxs g(x) = cos x, 05XST, and h(x) = tan x, -5sxs5. Find the exact value of the composite function. -1 h| g h (Simplify your answer, including any radicals. Type an exact answer, using n as needed. Use integers or fractions for any numbers in the expression.)

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Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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Q: Find all values of x such that sin 2x = sin x and 0 <x< 2m.

A: sin 2x=sinx⇒sin 2x-sin x=0⇒2 sin x cos x -sin x=0⇒sin x2 cos x-1=0⇒sin x=0  or  2 cos x-1=0 sin…

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A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a)

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Q: What is the frequency of the function f(z)? f (1) =-2 sin () +3 Express the answer in fraction form.

A: Given,  fx = -2sinx4+3  We have to find the frequency of the function fx.

Q: if g(x)  = x Sin-1(x/4)  +  √(16 - x2) , find g'(2)

A: The product rule is used for the LHSwhere as power rule  for the RHSg(x) = x sin-1x4+16-x2g'(x)…

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A: Here, the objective is to prove the following:  ddxcos-1x=-11-x2   -1&lt;x&lt;1

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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A: Consider the following: ∫dx2+cosxApply  u-substitution:…

Q: If f(x) = 2 sin x + 12 cos x, then f'(x) = f'(3) = %3D

A: Given functionf(x)=2sinx+12cosx thendifferentiate with respective…

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Q: Given f''(x) = 25 sin(5x) and f'(0) = 3 and f(0) = 6. - Find f() = 6

A: Given that  f"(x) = - 25.sin(25x)......   (1) f'(0) = 3 f(0) = 6 To find  fπ6

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A: Given,          fx=19x-38sinx ; -π4,π2

Q: Can i get help step by step?

A: Given

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A: Find the value of h∘gx as shown below: h∘gx=hgx               =hcosx               =2cosx

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A: We will make use of different formulae related to trigonometric function. We will also use concept…

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A: As we know,                            ddxtan-1x = 11+x2

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Q: Let f(x) = sin x and g(x) = cos x. Find the value of (f g) %3D (f g) 3 (Simplify your answer,…

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Q: Given f''(x) = – 9 sin(3x) and f'(0) 5 and f(0) = 1. Find f 3.

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Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: Find (f-1)'(a). f(x) = 2x3 + 5 sin(x) + 4 cos(x), a = 4 (F-1'(a) =

A: here we have a=4 so take f(x)=4 and solve for x using the graphing calculator to graph the function…

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A: Given : fx = sin2x+1

Q: Let f(x) = sin x, - 2 g(x) = cos x, 0<xST, and h(x) = tan x, - Find the exact value of the composite…

A: Given : f(x) = sin x , where -π/2 ≤ x ≤ π/2 g(x) = cos x , where 0 ≤ x ≤ π h(x) = tan x , where,…

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A: Differentiate 11 times

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Q: Given f''(x) 25 sin(5x) and f'(0) = - 1 and f(0) = 2. | Find f() 6.

A: Given query is to solve the differential equation and find the valu of indicated function.

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Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

Q: An integrand with trigonometric functions in the numerator and denominator can often be converted to…

A: Given We have to evaluate

Q: Solve f'(x) = 0 for x, 0<or equal to x< or equal to 2 pie, wher f(x) = x+2 cosx

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Q: If f(x) 7 sin x + 8 cos x, then f'(x) f'(1) = %3D

A: SOLUTION-

Q: Evaluate and show your work a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6…

A: To Evaluate: a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6 c. Tan-1(-√3)

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A: Given, fx=2sin-1x3

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Q: If f (x) = - sin(x), then f (10) (x) is equal to = - sin(x), thenf (10) (x) is equal to A - sin(x) B…

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Q: If f(x) = 6 sin x + 12 cos x, then f'(x) = f'(4) = %3D

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Q: 1+cos2x 22. Simplify sin2x f(x+h)-f(x) Let f (x) = 3x2 – 2x + 5. Find h

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Q: If f(x) f' (æ) = 2 sin x + 11 cos x, then f'(2) = %3D

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Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

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Q: Using an appropriate substitution, f sin®(x)cos³(x)dx is equal to:

A: