Question: 4. Consider the vector field F(x, y, z) = xyi + yzj + xzk. (a) Determine curl F = V x F. (b) Determine div

4. Consider the vector field F(x, y, z) = xyi +

4. Consider the vector field F(x, y, z) = xyi + yzj + xzk. (a) Determine curl F = V x F. (b) Determine div F = V . F. (c) Is F a conservative field? (d) Evaluate the counterclockwise circulation o F . dr on the triangle cut from the plane x+y+z =2 by the first octant. (e) Find the outward flux / F . ndo of F F . ndo of F on the boundary S of the rectangular box S R = {(x, y, z) : 0

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