Question: 2. A vector field F and a curve C are given. Find a potential function for F. Then, use the Fundamental Theorem of Line Integrals

2. A vector field F and a curve C are given.

2. A vector field F and a curve C are given. Find a potential function for F. Then, use the Fundamental Theorem of Line Integrals to evaluate So F . dr. (a) F = (yz, xz, xy + 2z), C is the line segment from (1, 0, -2) to (4, 6, 3) (b) F = (y' cos z, 2xycos z, -ry sin z), C is given by T(t) = (t', sint, t) on 0 S t n

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