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In: Math

Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and...

Find all functions f(x) with f′′(x) = 3x^3 − 2x^2 + x, f(0) = 1, and f(1) = 1.

Expert Solution

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is given by

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milcah answered 2 years ago

Find the derivatives of each of the following functions: 1. f(x) = (3x^2 + 2x −...

Find the derivatives of each of the following functions: 1. f(x) = (3x^2 + 2x − 7)^5 (2x + 1)^8 2. g(t) = cos(e^2x2+8x−3) 3. h(x) = e^x2/tan(2x−3) 4. Find dy/dx if cos(xy) = x^2y^5

Solve for x x^4 + 2x^3 + 2x^2 + 3x + 1 = 0

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For the function f(x) = x^2 +3x / 2x^2 + 7x +3 find the following, and...

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Please find f(x') and f(x") for all: 1) f(x) = 3(x2 -2x)3/4(7 - 5x2)6 2) f(x)...

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1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x...

1. Find the critical numbers for the following functions (a) f(x) = 2x 3 − 6x (b) f(x) = − cos(x) − 1 2 x, [0, 2π] 2. Use the first derivative test to determine any relative extrema for the given function f(x) = 2x 3 − 24x + 7

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which...

A. In the following parts, consider the function f(x) =1/3x^3+3/2x^2−4x+ 7 (a)Find the intervals on which f is increasing/decreasing and identify any local extrema. (b) Find the intervals on which f is concave up/down and find any inflection points. B. Consider the function f(x) = sin(x) + cos(x). Find the absolute minimum and absolute maximum on the interval [−π,π].

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2...

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2 − 1)2 and f 00(x) = 2(3x 2 + 1) (x 2 − 1)3 . (a) [2 marks] Find the x-intercept and the y-intercept of f, if any. (b) [3 marks] Find the horizontal and vertical asymptotes for the graph of y = f(x). (c) [4 marks] Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any....

F(x) = 0 + 2x + (4* x^2)/2! + (3*x^3)/3! + ..... This is a taylors...

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