Question: Suppose that the temperature in a given region is given by T (x, y) = 200xy (1 x2 2y2). Suppose that you and your

Suppose that the temperature in a given region is given by T

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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