Let F = yi+2zj+ (1-z)k. Evaluate the following:
a) ∫CFdr where C is the straight line from the origin to (1,3,1).
b) ∫SF.dA where S is the rectangle 0≤x≤2,1≤y≤4 , z=0 oriented upwards.
c) ∫SF.dA where S is the sphere of radius 2 centered at the origin, oriented outwards.