Chapter 13, Problem 16T

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

The environmental effects of a chemical spill in the Clarion River can be estimated from the river's flow volume. To measure this flow volume, it is necessary to find the cross-sectional area of the river at a point downriver from the spill. The distance across the river is 240 feet, and the table gives depth measurements, *D*(*x*), in feet, of the river at various distances *x* from one bank of the river. Use these measurements with Simpsons Rule to estimate the cross-sectional area.

X |
0 | 40 | 80 | 120 | 160 | 200 | 240 |

D(x) |
0 | 22 | 35 | 48 | 32 | 24 | 0 |

To determine

**To calculate:** The cross-sectional area by Simpson’s rule if the distance across the river is

Explanation

**Given Information:**

The distance across the river is

**Formula used:**

Simpson’s Rule for a continuous function

Where,

**Calculation:**

Consider the values of

Also, the values of function

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