Only answer number 100, thank you 99. The following table gives the area A(h) of a horizontal cross sec-tion of a pond at depth h. Use the Trapezoidal Rule to estimate thevolume V of the pond (Figure 1).h (ft) A(h) (acres)0.8h (ft) A(h) (acres)2.81022.4120.641.8140.26.1.5160.11.218 100. Suppose that the second derivative of the function A in Exercise99 satisfies |A"(h)| < 1.5. Use the Error Bound to find the maximumpossible error in your estimate of the volume V of the pond.

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Answered: 100. Suppose that the second derivative…

100. Suppose that the second derivative of the function A in Exercise 99 satisfies |A"(h)| < 1.5. Use the Error Bound to find the maximum possible error in your estimate of the volume V of the pond.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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Question

Only answer number 100, thank you

99. The following table gives the area A(h) of a horizontal cross sec-
tion of a pond at depth h. Use the Trapezoidal Rule to estimate the
volume V of the pond (Figure 1).
h (ft) A(h) (acres)
0.8
h (ft) A(h) (acres)
2.8
10
2
2.4
12
0.6
4
1.8
14
0.2
6.
1.5
16
0.1
1.2
18

100. Suppose that the second derivative of the function A in Exercise
99 satisfies |A"(h)| < 1.5. Use the Error Bound to find the maximum
possible error in your estimate of the volume V of the pond.

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