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Consider the following vector field F = (6r + 3x y , 2x y + 2y). (a) Determine if F is a conservative vector field.

Consider the following vector field F = (6r + 3x y , 2x y + 2y). (a) Determine if F is a conservative vector field. If it is, find its potential function. (b) Find the work done by F along the path given by r(t) = cos(t)i + 2sin(t)j Ots

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