Let F(x, y, z) be the vector field (x²(1 + y²z²), Q(x, y, z), exy cos(2z)), where is a differentiable function of x, y, and z. Suppose and div F = 2x(1 + y²z²) — 2ery sin (22) + z tan(2y+z) + 2z sec² (2y+z) curl F = (xey cos(22) - ytan(2y+z) - y sec² (2y+z), Determine div(VQ). 2x²y²z — yery cos(2z), −2x²yz²).

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Q: 1. Find the curl of the following vector fields: (a) F = cos(e)i + √y³ +y6 + y²j+z¹+tan² z k. (b)…

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Q: Find the Curl of the vector field. F(x,y, z) = 7e" sin(yi+ 8e* cos(y j+ 14z k a. &e" cos(y) +7e"…

A: solution of the given problem is below...

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