Consider →F and C below. →F (x, y, z) = yze^xz →i + e^xz →j + xye^xz k→ C :→r (t) = (t^2 + 4) →i + (t^2 − 2) →j + (t^2 − 4t)→k , 0 ≤ t ≤ 4 a.)Show that −→F is conservative. b.)Find a potential function for −→F . c.)Use part b to evaluate intgeral C→F . d→r along the given curve C.

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