What are the local extreme values of the function f(x) = x - 3x² + 2?

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A: Explanation of the answer is as follows

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION 1. (D^3 – 3D^2 – D + 3)y = 0

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A: Rational number is a number in p/q form, where q not equal zero.

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A: For second question reupload it according to bartleby guidelines i can do only one question

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

A: Solution is here

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A: Please see the answer below.

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Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 &amp; dx=du as x→2⇒u→1 &amp; x→10⇒u→9 So,…

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A: We will solve the problem

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A: Here is the graph of the two parabolas. Green area is the intersection of two graphs.

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A: Apologies for the inconvenience. The answer should have been simplified more.…

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A: Given problem:-

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A: binomial expansion, write down the first three terms of the expression below, starting with the…

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A: Topic:- function And its antiderivative

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Q: -2 is a critical number of the function f(x) = 2x - x2. Select one: O True O False

A: Given: f(x)=2x-x2

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Q: 12

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Q: (x + 4)(x – 2) f(x) = x2 -2(x – 8) f'(x) = x3 4(х — 12) f"(x) = - x4 ) Find the intervals of…

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A: ∑n=2∞1n-1