Consider the vector field (a) Let C be the curve in the xy-plane given by x2+y= 1 oriented counter clockwise when viewed from above. Calculate the line integral f. F. dr. (b Now,find the curl of the vector field. c) Let S be the part of the sphere x2+y2+z2 =1,0. What is wrong with the following statement? From part b, we can use Stokes' theorem to conclude the following: curlF.dS F.dr=0