Question: 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

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.


Data From Exercise 99

The following table gives the area A(h) of a horizontal cross section of a pond at depth h. Use the Trapezoidal Rule to estimate the volume V of the pond (Figure 1).

h (ft) 0 2 4 6 8 A(h) (acres) 2.8 2.4 1.8 1.5 1.2 h (ft) 10 12 14 16 18 A(h) (acres) 0.8 0.6 0.2 0.1 0

FIGURE 1 Area of horizontal cross section is A (h)

h (ft) 0 2 4 6 8 A(h) (acres) 2.8 2.4 1.8 1.5 1.2 h (ft) 10 12 14 16 18 A(h) (acres) 0.8 0.6 0.2 0.1 0

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