- Questions

# math

Consider F and C below.

F(x, y, z) = yz i + xz j + (xy + 14z) k

C is the line segment from (2, 0, −2) to (5, 5, 1)

(a) Find a function f such that F = ∇f.

f(x, y, z) =

(b) Use part (a) to evaluate integral C ∇f · dr along the given curve C.