In: Math
Consider F and C below.
F(x, y, z) = yz i + xz j + (xy + 14z) k
C is the line segment from (3, 0, −3) to (5, 5, 1)
(a) Find a function f such that F = ∇f.
f(x, y, z) =
(b) Use part (a) to evaluate
C |
∇f · dr along the given curve C.