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
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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