Chapter 2.8, Problem 38E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

Water temperature affects the growth rate of brook trout. The table shows the amount of weight gained by brook trout after 24 days in various water temperatures.

Temperature(^{°}C) |
15.5 | 17.7 | 20.0 | 22.4 | 24.4 |

Weight gained (g) | 37.2 | 31.0 | 19.8 | 9.7 | -9.8 |

If *W*(*x*) is the weight gain at temperature *x*, construct a table of estimated values for *W'* and sketch its graph. What are the units for *W'*(*x*)?

To determine

**To construct:** The table of estimated values of

Explanation

**Given:**

The table represents the weight gained at temperature *x.*

**Formula used:** For small *h*,

**Calculation:**

Calculation of

Substitute

Thus,

Calculation of

Substitute

Substitute

Take the average of above two calculations of

Thus,

Calculation of

Substitute

Substitute

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P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-1PCh-2 P-2PCh-2 P-3PCh-2 P-4PCh-2 P-5PCh-2 P-6PCh-2 P-7PCh-2 P-8PCh-2 P-9PCh-2 P-10PCh-2 P-11PCh-2 P-12PCh-2 P-13PCh-2 P-14P

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