1. Consider the function: -y x F(x, y ) = x2 + y? ' 2 2 + yz Preform the following tasks: (a) Compute the curl of F. (b) Compute o F.dr Where C is the circle of radius 1 centered at the origin oriented counterclockwise. (c) Determine whether F conservative. (d) Determine whether there is a conservative function G : R3 - R3 defined everywhere except (0, 0, 0) with continuous partial derivatives so that for all (x, y) # (0, 0) we have: G(x, y, 0) = - y X x 2 +y? ' x 2 + y 2 , 0 )