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2. The temperature at any point (x, y) of a rectangular plate lying in the xy plane is determined by T(x, y) = x² + y². (a) Find the rate of change of the temperature at the point (3, 4) in the direc- tion making an angle of radian measure 7 with the positive x direction. (ans. 3+4/3)

2. The temperature at any point (x, y) of a rectangular plate lying in the xy plane is determined by T(x, y) = x² + y². (a) Find the rate of change of the temperature at the point (3, 4) in the direc- tion making an angle of radian measure 7 with the positive x direction. (ans. 3+4/3)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. The temperature at any point (x, y) of a rectangular plate lying in the xy plane is determined by T(x, y) = x² + y². (a) Find the rate of change of the temperature at the point (3, 4) in the direc- tion making an angle of radian measure 7 with the positive x direction. (ans. 3+4v3)
Transcribed Image Text:2. The temperature at any point (x, y) of a rectangular plate lying in the xy plane is determined by T(x, y) = x² + y². (a) Find the rate of change of the temperature at the point (3, 4) in the direc- tion making an angle of radian measure 7 with the positive x direction. (ans. 3+4v3)
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