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