Undergraduate

The temperature at any point ( x , y ) in the xy plane is given by T = 1 0 0 xy x 2

The temperature at any point (x, y) in the xy plane is given by T =
100xy
x2+ y2. Find
the rate of the change of the temperature at the point (2,1) in the direction making
an angle of 60 with the positive x-axis.
7.) In the question 6.), in what direction from (2,1) would the rate of the change be a
maximum? What is the value of this maximum?

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