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2. Consider the vector fields F = xi+ yj + zk and G= ri + yj + zk (x2 + 2 + 22)3/2 (1, y,
2. Consider the vector fields F = xi+ yj + zk and G= ri + yj + zk (x2 + 2 + 22)3/2 (1, y, 2 ) / (0, 0,0) (a) Compute divF and divG. (b) Cross-sections of F and G (and of a mystery vector field) are shown below. Clearly label which figure corresponds to F and which figure corresponds to G (c) Lets S, be the square of side length 1 centered at the point (5,5, 5), and let S2 be the sphere of radius 2 centered at the origin. By performing as few calculations as possible, compute: F . dA = F . dA = G . dA = G . dA =
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