f (x) dx = 3, what is the value of xf (x² – 4) dx? 1. Given that %3D | x 213 – 54 - 2. Given that f (x) = dt. Find the value of x where f attains its minimum. 13 + 8 Use the Fundamental Theorem of Calculus for #2

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A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: -2 (a) Show that f'(x) using the definition of the derivative. (2x + 7)² (b) Find the equation of…

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Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

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Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(æ)

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Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: If f(x)=1/x5​, compute f(2) and f ′(2).

A:

Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: Define f (x) = 2 – 3x2. Find the exact value of f (). (€)

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Q: The slope of the line tangent to the graph of f(x) = 18 – 5x² at the point x = -8 O 20 O 10 O 160 O…

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Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

A:

Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

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A: Given that f(x)=-2  We plug this and find x

Q: Simplify the Function R(x)= 1/x2(x2+3)2

A: Given,

Q: Let f(x)=(5)x+1. Which is equal to f(−3)?

A: