In: Math
Find a function f such that F = ∇f and use it to compute R
C Fdr along curve C.
• F = <x, y>, C is part of the parabola y = x ^ 2 from (−1,
1) to (3, 9).
• F = <4xe ^ z, cos (y), 2x ^ 2e ^ z>, where C is parameterized by r (t) = <t, t ^ 2, t ^ 4>, 0 ≤ t ≤ 1.