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Suppose That the Temperature T of Any Point (X, Y)is T(x,y)=100x2y2T ( x , y ) = 100 - x ^ { 2 } - y ^ { 2 }

Question 32

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Suppose that the temperature T of any point (x, y)is given by T(x,y)=100x2y2T ( x , y ) = 100 - x ^ { 2 } - y ^ { 2 } .
Sketch isothermal curves (i.e.contours)for T = 100, T = 75, T = 50 and T = 0.Be sure to label each contour.
What does the graph of T(x, y)look like if it is sliced by the plane x = 4?

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