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Consider the triangle S in the plane z = 1 that has vertices at the points (0, 0, 1), (3, 0, 1), (0, 3, 1);
Consider the triangle S in the plane z = 1 that has vertices at the points (0, 0, 1), (3, 0, 1), (0, 3, 1); and the vector field v = (0 23 +23 x22). a. Compute the curl of V. Enter your answer as a vector using the matrix button. V X V =b. Compute directly the integral (V x v) . ds, S where the positive z direction is taken as the positive normal direction. Enter the value of this integral below. (V x v) . ds = Sc. Now calculate f v-dr c. z for i = 1, 2,3, where each 01' is one of the edges surrounding S. Enter the values of this integral for each 1' = 1, 2, 3: enter just three numbers, separated by commas. The order of your answers does not matter, but you should choose orientations compatible with the rst part of this question. 01,02,033 =
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