Verify that the hypotheses of the Mean-Value Theorem are satisfied for f(x) = √√x + 4 on the interval [a, b] = [0,12], and find the value of c in this interval that satisfies f(b) - f(a) f'(c) b-a Enter the exact answer. C = =

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A: Given query is to find the amount accumulated.

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A: To find the maximum value of the function.

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A: p(q)=-0.4q+1754C(q)=62.97q+3515R(q)=1128000R(q)= q. p(q)R(q)=q (-0.4q+1754 )R(q)=-0.4q2+1754q

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A: Topic:- calculus

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A: Let's find.

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A: Solved below

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A: We have to perform the given operation.

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Q: Question Use the binomial series expansion, 1 for the function f(x) = = ✓1+4x4 If necessary, round…

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Q: #6

A: Topic:- application of integration

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A: We can solve as follows

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A: Find Taylor series.

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A: We have to find the area.

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A: In the given problem first we draw the region then reverse the order of integration and after that…

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A: A 10‐ft ladder is leaning against a house on flat ground. The house is to the left of the ladder.…

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Q: analyze and trace the given curves y = x2 + 1 / x2

A: Explained below

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A: We can solve as follows

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Q: v. lim g(x) = 24-1 vi. lim g(x)=[ 2--1 vii. lim g(x) = = 2-1 viii. g(-1) = Preview Preview Preview…

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