The temperature T (in C) at any point in the region10 x 10, 10 y 10 is given by the
Chapter 12, Problem 39(choose chapter or problem)
The temperature T (in C) at any point in the region10 x 10, 10 y 10 is given by the functionT (x, y) = 100 x2 y2.(a) Sketch isothermal curves (curves of constant temperature)for T = 100C, T = 75C, T = 50C,T = 25C, and T = 0C.(b) A heat-seeking bug is put down at a point on the xyplane.In which direction should it move to increaseits temperature fastest? How is that direction relatedto the level curve through that point?
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