() Evaluate J), F - dS for Fox0.0, r+ 3, where & to the surface of the hemaphire Portend:: 20, with normal n pointing upward. I got Br. (10] Evaluate Jly F - 48 where S is the triangular plate with vertices at (1,0,0) , (0, 1,0) and (0,0, 1) and where Fuc-y. 15, 6-a 3. Use the spound pointing normal. I got 3. 11. Suppose that $ is the warface given parsmetrically by, . V . 05451 . 05653 (a) Compute the integral /19 VA +13 + 185. (b] Compute JJ, F-dS where Fax r. -ly. 13 12 Evaluate JfgadS where 5 is the surface of the come a = ]-35 +: 05 :53 Wh vus T (13) Verify Stokes' theorem for where S is the portion of the surface of the paraboloid = = $ - re - p lying whore the plane s m 1, with normal n pointing upwent . . By verify, I mean show that, for the specific/given F and 5, both of the integrals in the theorem have the same value. 14 Compute f F-dr where F - , -15:gl BR4/s? (17) Rewrite the ghen Integral with the order of integration reversed (switched) Evaluate the resulting integral I got In(5] ? (18) Find the centroid of the plate which lies between the curva y = s' and ym I if the desalty is 5 m 1 (hint I think it's (0, 3/5) ? (19) Find the centroid of the plate which lies between y = vo - r and y = 0 for 0 5 x 5 3, if the density is d=1 I think It's (4/ w. 1/=) 7 (20) Evaluate the integral by converting to polar coordinates. Include a sketch of R Is it 1/4 7