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Question: problem 1 the temperature distribution in a metal plate as...

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Problem 1: The temperature distribution in a metal plate as a function of x and y is given by From the point on the plate located at (2, 3), use the gradient definition to determine in what direction is the temperature increasing most rapidly? Decreasing most rapidly? Problem 2: Suppose S is that part of the planex +y+2-1 in the first octant, oriented with the upward-pointing norma, and let C be its boundary, oriente counter-clockwise viewed from above as shown in the Figure If d .o when Ci verify Stokes theorem by computing both Problem 3. Evaluate where where S is the boundary of the cube defined by ss -1sys.and oss2
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