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3) (8 points) Let F(x, y, z) = ey i + xey j + (z+ 1)ez k and C given by r(t) = (5t, t2,

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3) (8 points) Let F(x, y, z) = ey i + xey j + (z+ 1)ez k and C given by r(t) = (5t, t2, +3),0 S ts 1. i) Find a potential function f such that V f = F. ii) Use part i) to evaluate / Vf . dr along the given curve C

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