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temperature T| (in degree |C) at any point in the region -10 LE x LE 10|,-10 < y LE 10| is given by the function T(x, y) =100 - x^2 - y^2| On a sheet of paper, sketch isothermal curves (curves of constant temperature) for T = 100 degree |C, T = 75 degree |C. T = 50 degree |C, T = 25 degree |C, and T = 0 degree |C. Suppose a heat-seeking bug is put down at each of the following points on the xy|-plane. Thinking of the positive y| direction as north and the positive x| direction as east, pick the direction in which it should move to increase its temperature fastest. (-7.5,7.5)|the bug should go (5,0)| the bug should go (0, -5)|the bug should go (Think about how your answers to these questions are related to the level curves through that point!)
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All the questions solve in above picture
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