T = T, – yTy. = 32°C and T(4,6) = 2°C. Use the linearization of T at (4,6) to a. Suppose T(4, 6) approximate the temperature of the metal plate at the point (4.2, 5.94). b. Determine the instantaneous rate of change of the temperature at the point (4,6) as one moves away from this point toward the point (6, 4).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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The temperature (in degree Celsius) at a point (x,y) on a metal plate is given by a function T(x,y) that is continuous everywhere and satisfies the differential equation
T = T – yTy.
32°C and T(4, 6)
= 2°C. Use the linearization of T at (4,6) to
a. Suppose T(4, 6)
approximate the temperature of the metal plate at the point (4.2, 5.94).
b. Determine the instantaneous rate of change of the temperature at the point (4,6) as one
moves away from this point toward the point (6,4).
Transcribed Image Text:T = T – yTy. 32°C and T(4, 6) = 2°C. Use the linearization of T at (4,6) to a. Suppose T(4, 6) approximate the temperature of the metal plate at the point (4.2, 5.94). b. Determine the instantaneous rate of change of the temperature at the point (4,6) as one moves away from this point toward the point (6,4).
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