If f(x) = x²(x + 1)²,which of the following is the linear approximation to f centered at x ¬.1? A L(x) =12x=1 (B L(x) =6x+5 L(x) =12x– 8 (D L(x) =12x – 16

Q: Show that the equation f(x) =x+3x-1%=Ø %3D has at least one solution,

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Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: 4. Let f(x)=1+x³-x. Find an x-value that makes f(x) 0.

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Q: 1. Find the most general antiderivative or indefinite integral for the function. (Ilint: Using a…

A: to find integration.

Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: Calculate R3 and L3 for f(x)=x2−4x+5 over [1,4].

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Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: If f(x) is a linear function, f( – 5) = - 5, and f(5) = – 3, find an equation for f(x) Submit…

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Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: fx) 1 A. f(x) = 2x2 + 8x + 1 B. f(x) =-2x²-7x + 1 .4 %3D -3 -5 C.f(x) = 3x² + 9x-11 D. f(x) =-6x² +…

A:

Q: Let f(x) 1 and g(x) = 4x + 7. Then с — 3 - (f o g)(0) = (f o g)(x) =

A: Given:

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

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Q: Let h(x)=f(g(x)). If g(3)=−4, g′(3)=5, f(−4)=−6, and f′(−4)=4, find h′(3). Do not include "h′(3)="…

A: We have to find derivative of h(x) at x=3 .Information is given below: