(1 point) Given 12-49 dt 1+ cos2 (t) f(x): %3D At what value of x does the local max of f(x) occur? x =

Q: Part A (i) Let f(x) = ln(3ª + 8"). Find f'(x). %3D (ii) Find 2" cos(r)` cos(2") d da

A: Derivative of function

Q: The chain rule allows functions that are be composed of differentiated. For a function y(u(x)), the…

A:

Q: Consider the function f(r) = (r – 1)e. a) When is f(r) = 0, when is f(x) > 0 and when is f(r) < 0?…

A: Given, f(x) = (x-1)ex

Q: 2. a) Find a formula for f-1 for the function y =f(x) = (x – 2)2 , x< 2 b) Evaluate the expression…

A:

Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx

Q: The trigonometric substitution x - 2 = 3 sec could be useful in integrating a function (i.e., an…

A:

Q: Evaluate f da V5-

A: we have to use substitution method to solve this integral. these are basic integral formulae which…

Q: cos2x – sin2x cos2x For +C: What is F(x)? dx= 3 cosx - sinx

A:

Q: Suppose S (x) =sin(3x – 2). Evaluate: /f(x) dr A - 3cos(3x – 2) + C (A) (B ® --cos(3r – 2) + C ©…

A: Given, f(x) = sin3x-2To evaluate:∫f(x) dx This can be done as follows:

Q: (2n )! | [P, (x)]° dx | (1-x?)" dx %3D 22" (n!)2 -1

A: Solution

Q: Let h(x) = tan(2x + 3). Then h' (2) is and h'' (2) is

A: given function    h(x)=tan(2x+3)

Q: f(x) =-3 sin 3. Determine the amplitude, period and phase shift of the graph of f(x) for - 2r sxs…

A:

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

A: Integrate ∫dx(x+x3)(xtan-1x+1)

Q: Assignment No. 2: Determine the derivative of the ff. functions 1. y = 6x4 + 7x3 - 8x2 + 9x - 10 2.…

A:

Q: 2-x Q.1 1 Write the function f (x) = =cosx+3x² as the sum of an even and odd functions.

A: To write the function as the sum of even and odd functions.

Q: Determine which of the following pairs of functions are linearly independent. NO ANSWER + 1. f(x) =…

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

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: Let f(x) = 2 cos x.

A: f(x) = 2  2 cos x = 2  cos x = 1    cos x is equal to 1 when x= ±2nπ where n is a whole number…

Q: (a) sec¹ (31) √tan(3t) dt

A:

Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

A:

Q: Find ao of the function f(x) 1-Cosx f(x) =

A:

Q: Verify that the following function is harmonic u(x, y) = -ey sin x - 2e siny. Find a harmonic…

A:

Q: Find the analystic function f(z)u+iv if u=a(1+cos0)

A: