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A metal plate is situated in the xy-plane and occupies the

Calculus: Early Transcendentals | 8th Edition | ISBN: 9781285741550 | Authors: James Stewart ISBN: 9781285741550 124

Solution for problem 11 Chapter 14

Calculus: Early Transcendentals | 8th Edition

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Calculus: Early Transcendentals | 8th Edition | ISBN: 9781285741550 | Authors: James Stewart

Calculus: Early Transcendentals | 8th Edition

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Problem 11

A metal plate is situated in the xy-plane and occupies the rectangle 0 < x < 10, 0 < y < 8, where x and y are measured in meters. The temperature at the point sx, yd in the plate is Tsx, yd, where T is measured in degrees Celsius. Temperatures at equally spaced points were measured and recorded in the table. (a) Estimate the values of the partial derivatives Txs6, 4d and Tys6, 4d. What are the units? (b) Estimate the value of Du Ts6, 4d, where u si 1 jdys2 . Interpret your result. (c) Estimate the value of Txys6, 4d.

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Textbook: Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781285741550

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