Consider

F

and

C

below.\

F(x,y,z)=yzi+xzj+(xy+16z)k

\

C

is the line segment from

(2,0,-1)

to

(4,4,2)

\ (a) Find a function

f

such that

F=gradf

.\

f(x,y,z)=

\ (b) Use part (a) to evaluate

\\\\int_C F*dr

along the given curve

C

.\ Need Help?

Consider F and C below. F(x,y,z)=yzi+xzj+(xy+16z)k C is the line segment from (2,0,1) to (4,4,2) (a) Find a function f such that F=f. f(x,y,z)= (b) Use part (a) to evaluate CFdr along the given curve C