Suppose that the temperature in a given region is given by T (x, y) = 200xy (1 – x² – 2y²). Suppose that you and your friend are at (1,1). Suppose further that your friend is running along the x-driection initially and his speed is 3 meters per second. At what speed in meters per second must you move in the y-direction so that your friend's rate of change of temperature is the same as yours?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose that the temperature in a given region is given by T (x, y) = 200xy (1 – x² – 2y²). Suppose that you and your friend are at (1, 1).
Suppose further that your friend is running along the x-driection initially and his speed is 3 meters per second. At what speed in meters per second
must you move in the y-direction so that your friend's rate of change of temperature is the same as yours?
Transcribed Image Text:Suppose that the temperature in a given region is given by T (x, y) = 200xy (1 – x² – 2y²). Suppose that you and your friend are at (1, 1). Suppose further that your friend is running along the x-driection initially and his speed is 3 meters per second. At what speed in meters per second must you move in the y-direction so that your friend's rate of change of temperature is the same as yours?
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