(915, #15) (a) Find a function f such that F = grad(f) for F = < y, x + z, y >.

(b) Use (a) to evaluate

along the curve C. where C is the line segment joining ( 2, 1, 4 ) to ( 8, 3, -1 ).

Solution: (a)

(b) Since F = grad(f)

by C.A.H.