Chapter 3 1 Find The Number Whose Existence Guaranteed The

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subject Authors James Stewart

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Stewart_Calc_7ET ch03sec02
SHORT ANSWER
1. The function
satisfies the hypotheses of the Mean Value Theorem on the interval . Find all
values of c that satisfy the conclusion of the theorem.
2. The function satisfies the hypotheses of the Mean Value Theorem on the
interval . Find all values of c that satisfy the conclusion of the theorem.
3. (a) Find the number c whose existence is guaranteed by the Mean Value Theorem for
Integrals for the function f on [a, b], and (b) sketch the graph of f on [a, b] and the
rectangle with base on [a, b] that has the same area as that of the region under the graph of f.
= + x; [0, 1]
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2
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