Question: 3) Consider the vector field F(x, y, z) = (4yz, y2 + 4xz, 4xy) (15 pts) a. Show that this vector field is conservative. b.

3) Consider the vector field F(x, y, z) = (4yz, y2 + 4xz, 4xy) (15 pts) a. Show that this vector field is conservative. b. Find the potential function associated with this conservative vector field. c. Calculate the circulation of this vector field around the curve given by the intersection of the cone o = /4 and the sphere p =1. You may use the results of part a. or b. and integration theorems if it helps

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