Suppose 11 f" f(x) dz f(x) dx = 16. Find 4 √ * f(x) dx = [ 11 [₁ f(x) f(x) dx. 11

Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

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Q: 7. If f(t) = /2t² +1, find f"(2).

A:

Q: Estimate how much the function f (x) = 1/1 + x2 will change if x decreases from 1 to .9.

A: Given: The function  f(x) = 11+x2 To find: How much the given function will change if x decreases…

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A:

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A: We are given,

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A:

Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 9. Describe an example that illustrates that If(x)| dx is not equal to |S f(x) dx|.

A: For a function f(x) the corresponding function |f(x)| is obtained by reflecting the parts below the…

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

A:

Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: 2. What is the second derivative of f(x) = - ²x³²x²+6? f"(x) = 5x² - ²³√x f"(x) = 10x + √√√x+6 a. b.…

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Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: Letf(x) =(6x if 0≤ x ≤2,(−4 if 2 < x ≤6.Find ∫^6v0 f(x) dx.

A: Given information:Here, it is given that f(x) will be equal to 6x if x lies between 0 to 2 and f(x)…

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

A:

Q: √(x + 3) dx √16-x²

A: Solution