Question 14 only

Th . 14. F(x, y, z) = (x3 - z, xy, y + zz), C is the curve of intersec- tion of the paraboloid z = x2 + y and the plane z = x 7-14 Use Stokes' Theorem to evaluate ( F . dr. In each case C N is oriented counterclockwise as viewed from above, unless otherwise stated. 7. F(x, y, z) = (x + y2) i + (y + z2)j + (z+x2)k, C is the triangle with vertices (1, 0, 0), (0, 1, 0), and 101 (0, 0, 1) ofw 2 opphave oldsingno ne baff so sw scogque , ) asviO . ) ding boebio 8. F(x, y, z) = i+ (x + yz) j+ (xy - Vz ) k, loog and jud, snob and ano gift) . C is the boundary of the part of the plane 3x + 2y + z = 1 in the first octant Z = x