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

Consider F and C below.

F(x, y, z) = yz i + xz j + (xy + 18z) k

C is the line segment from (1, 0, −3) to (4, 4, 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.

Math   Calculus   
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