Question 20 Let f(x) =cos(3x) & g(x) = e . Which of the following is true. (f+ g)(x) = 2 e2x + 3sin(3x) dx f(g(x)) = -6sin(3e2X) e2x dx (x) = - 2sin(3x)cos(3x) dx (fg)(x) = e2Xcos(3x) - 3e2*sin(3x) dx

Q: -4 tan-(x) dx 1 Find (x + 1)2

A:

Q: Consider the following. f(x) = 6 cos(x) + 4, g(x) = cos(x) − 1; [−2ª, 2π] by [-2.5, 11.5] (a) Graph…

A:

Q: Example #3: Consider the function fcx) = (2x+1) √√x-1 Evaluate: a) b).. (³x f'(x) dx. 5 fcx) dx 2

A:

Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

A:

Q: d da -f(x) = cos x, f(0) = 9.

A:

Q: two friends are trying to figure out how many supernova explosions there will be by looking at the…

A: The given function is fx=sin2x-cos2x-1 Convert sin and cos into the single function of sin…

Q: Evaluate § A² B³ dx where A = sin(f(x)), B = cos(g(x)), and f(x) = g(x) = 4x.

A:

Q: / [sec-(x) – csc²(x)]dr Evaluate: A e (x) - c«°(x) + C sec an(x) – cot(x) +C B esc (x) + sec³(x) + C…

A:

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3…

A:

Q: -g(x) = x²sinx cosx . Find g'(x).

A: We will use the product rule of differentiation to find the derivative.

Q: Example 13: If Jf(x)dx =-3, )dr=9, and f(x)dx 5, find %3D

A: given∫4-6f(x)dx=-3,∫37f(x)dx=9∫47f(x)dx=5to find∫-63f(x)2-3dx

Q: 9. [f(x)dx -1

A: Find the integral from the given graph

Q: 20 Find f(3x + 2)dx if f(x)dx = 2. 3 11 Enter the exact answer. f(3x + 2)dx = 3

A: Given that, ∫1120f(x)dx=2 Now, we have to find the value of the integral ∫36f(3x+2)dx let,…

Q: If f is an odd function, why is S, f(x) dx = 0?

A:

Q: Consider J x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? (A) 1/2…

A:

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

A:

Q: f(x)=cos(x) Glx)こxや+1 d f(9(x) = t3 clx

A: We have to find derivative

Q: (7) Find sin(5x) cos(4x) dx

A: Topic:- application of integration     Note:- as per our guideline if more than one question…

Q: Find f"(7) given f(x) =- sin(z – 3x) our Answer:

A: Please see the below picture for detailed solution.

Q: Question 15 Find the derivative. f(x) = (5x - 3)(x + 4) O f(x) - 3.33x¹/2 -1.5x-1/2, 20…

A:

Q: (x - 1)ex (x + 1)³ -dx

A:

Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

A:

Q: Use Quotient Rule to find the derivative. x² + x - 2 3x +1: dy 2x+1 A. dx 3x + 1 dy B.…

A:

Q: Given f(x) = co (x) + 4x4, find in terms of dx f'(x

A: GIVEN DATA : function fx=cos x+4x4 TO FIND : ddxfx-1 The inverse of function is expresses as :…

Q: 1 (x2 5)e-X dx

A: