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  3. consider f and c below. f(x, y, z) = yz i + xz j +

Consider F and C below. F(x, y, z) = yz i + xz j + (xy...

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Basic Math

Consider F and C below.

F(x, y, z) = yz i + xz j + (xy + 14z) k

C is the line segment from (3, 0, −3) to (5, 5, 1)

(a) Find a function f such that F =∇f.

f(x, y, z) =



(b) Use part (a) to evaluate

C

∇f · dr along the given curve C.

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