Hello everybody

If anybody is able to help me with this problem (very long), I would greatly appreciate it. Since this is also an even numbered question, im not able to look up the answer. Special thanks to Scott who helped me with the Stoke's Theorem problem.

--------------------------------------------------------------------------------------------

Question:

Consider a force field given by: F(x,y,z) = y^2 i + 2 x y j + 2 z k

a) Calculate: div F

b) Calculate: curl F

c) Calculate the work required to move a particle along the parabolic path given by:

r(t) = t j + t^2 k , where -1 <= t <= 2

d) Calculate the work required to move a particle along a circular path of radius 10, centered at the origin, oriented counter-clockwise (relative to the positive z-axis) and with starting point (10,0).