I started this question;

Find the work done by F=e^(yz)i + (xze^(yz) + zcosy)j + (xye^(yz) + siny)k over the following paths from (1,0,1) to (1,pi/2, 0)

a) The line segment x=1 , y=(pi/2)t , z=1-t t between 0 and 1

b) The line segment from (1,0,1) to the origin followed byt he line segment from the origin to (1,pi/2,0)

c) The line segment from (1,0,1) to (1,0,0) followed by the x-axis from (1,0,0) to the origin, followed by the parabola y=pix^2/2 , z=0 from there to (1,pi/2,0)

***I started by solving the potential function which I got to be

f(x,y,z)=xye^(yz) + siny + C ----> F=gradient(xye^(yz) + siny)

I think dr/dt for part A is : pi/2j - k

This is where I'm stuck...

Help!!!