2. Let S be the portion of the paraboloid z = x + y above the disk x + y 1. Let f = (y, x, 0). a) Find the area of S. b) Use Stokes Theorem to compute the circulation of F about S, assuming the surface is oriented counterclockwise when viewed from above. PRACTICE PROBLEMS UNIT 5- VECTOR CALCULUS PRACTICE PROBLEMS UNIT 5- VECTOR CALCULUS 5.1 VECTOR FIELDS, DIVERGENCE AND CURL 1. Find the divergence and the curl of the field F 2. Determine if the field is conservative or not. (a) (b) = (x+y2)i- 2ry j; = (2ry+2)+xj+xk. 5.2 LINE INTEGRALS = 203 Evaluate the line internal de whora Cic the line segment ioining the origin to