b) Given the vector field SUTM F(r, y, 2) = 3z cos ri+rlnyj+e* tan rk. Determine UTM i. div F, ii. Vx F, iii. grad(curl F) UTM UTM UTM UTM UTM

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A: This question is from vectors.

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A: Given problem:- Show that the vector field A = (3x²z+ y²)ax + 2xyay + x³az is conservative. =

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A: It is given that F→=xi+yj+ezk and the surface is x2+y2=4,1≤z≤5