If what does the following integral equal? 17 |_ * = [9f(x) + 3g(x) − h(x)]dx · - 50 - 17 - 50 - 17 50 f(x) dx = 8 and g(x) dx = 10 and h(x) dx = 33 - 17 - 50

Q: S(x*+1)(x* + 5x)'dx 11.

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Q: Find f(x) if f'(x) =2/+.

A: The derivative of f(x) is given, so to find f(x) we need to integrate f'(x)=2x+5x6. The integration…

Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

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Q: (x³ - x) dx 3 -1

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Q: and g( x) = 7 − ( x − 3)^2 , a.) Solve for x: f ( x) = g( x) (Answers c

A: Inequality: a)f(x)=3x3-4x-3g(x)=7-(x-3)2f(x)=g(x)3x3-4x-3=7-(x-3)23x3+x2-10x-1=0The solution isx≈…

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: if f(x)={ -3x       for x -1  find f(-2)  a. -6 b.9 c.6  d.-1 e.0

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Q: let (X)> and fre)=2, f ( X) is

A: Answer and explanation is given below

Q: f(x) = 3x² (1 + 7x-3

A: The given function is:fx=3x21+7x-3

Q: If integral subscript 2 superscript 3 f(x)dx=4 and integral subscript 3 superscript 5 f(x)dx=7, then…

A: A detailed solution is given below.

Q: If f(x) = 18x2 + 96 3 ³√√x' find f'(8).

A: Given Function:- fx=18x23+96x3

Q: f F(x)=ex , find f(ln(2))

A: fx=exfind f(ln(2)) Formula used elnea=a

Q: Evaluate (2x2 - 7x) e 5×dx. 1 1 S(2x2 - 7x) e 2 5x dx = 5x e 343 +C 49 (Use C as an arbitrary…

A: The given integral is: ∫(2x2-7x)e5xdx We use integration by parts by integrate it. ∫u v dx=u∫v…

Q: If h(x)=2-4/3x given the equation for h-1(x)

A: The definition of h-1(x) is h-1(x)=1/h(x)

Q: If u(x) = x3, then du = 3x2.

A:

Q: Find the derivative 3x (x4+ 1)5 dx d 3x (x4 + 1)5]- dx

A: To find the derivative of [3x·(x4 + 1)5]

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

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Q: solve for x if CDy=4(x-E)

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Q: If g'(x) = f(x) with g(-12) = a, g(−8) = b, g(−3) = c, and g(-2) = d, express the value of -4 1 f x…

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Q: ∫sin(1/x8)dx/x9

A: We have to evaluate the integral: ∫  sin1x8dxx9 This integral will be solved by substitution method…