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    Mathematics
  3. Study Set
    Calculus
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    Exam 3: Applications of Differentiation
  5. Question
    (A) Find the Number C Whose Existence Is Guaranteed by the Mean
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(A) Find the Number C Whose Existence Is Guaranteed by the Mean

Question 70

Question 70

Essay

(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.
f (x) = (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.   f (x) =   x<sup>2</sup> + x; [0, 1] x2 + x; [0, 1]

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