l a parametrization of the surface x³ + 5xy + z² = 10 wh 1 2, y = ,z = 0. e symbolic notation and fractions where needed.)

Evaluate the circulation of G = xyi + zj + 5yk around a square of side 9, centered at the origin, lying in the yz-plane, and oriented counterclockwise when viewed from the positive x-axis.. Circulation = - 1.² F.dr = 328

. Find the points on the ellipsoid x² + y²/4 + 2²/9 = 1 that is closest to (1, 2, 3). ·1x1=

Let W be the upper half of the ellipsoid x? + y + () = 49, where z 2 0. Find the centroid of W. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*,*,*).) (x, y, 2):