Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. f(x) = x3 − 2x2 − 4x + 2, [−2, 2]

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Q: PLEASE

A: As per policy only first question is answered. Please refer to the image below

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A: topic- graph of a function

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A: We can answer the question by finding the correct option as below.

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A: The objective of the question is determine the sum of the geometric series.

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A: To find out the value of f(1) and f'(1).

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A: SOLUTION-

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A: the answer is given in step2

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A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

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A: The graph is given as , Find the equation for the graph.

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Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

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A: The solution is given below

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A: If f''x<0 ∀ x∈a,b and c is a point such that a<c<b, and c,fc is the point lying on the…

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A: We are asked to find the diminishing returns of the point.

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A: Solve the following

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Q: CHAPTER 6-General Health and Population Indicators The next three questions relate to the following…

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A: The height of the rocket after t seconds is given by the expression h=98t-4.9t2

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A: Given :The velocity of the graph of Car A and car B is given in the graph.And we know that the graph…

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A: To evaluate the following expression.

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A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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