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3. For this problem, F(x, y, z) = (ry, -y?, xz) , and: solid E, top surface: z =1 - y- E is the solid
3. For this problem, F(x, y, z) = (ry, -y?, xz) , and: solid E, top surface: z =1 - y- E is the solid first-octant region which lies above the triangle surface S: with vertices (0, 0), (2,0), (0, 1) and below z = 1 -y2 ; y S is the entire closed surface of E, oriented outward. [6] a) Find div( F) . base triangle [6] b) SET UP the triple integral (limits and all) you would evaluate if you were asked: Use the Divergence Theorem to evaluate F . n dS , the net outward flux of F through S
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