please solve problem 4

where R* is the projection of S into the xy-pla PROBLEM SET 10.6 olqmexi ni atnoT .CAS .gia the two 1-10 FLUX INTEGRALS (3) F . n dA rules o be ev Evaluate the integral for the given data. Describe the kind 1 loonsa list of surface. Show the details of your work. 1. F = [3x2, y2, 0], S: r = [u, v, 2u + 30], 12-16 1 0 us 2, -1 Ev = 1 novig 6 01 1 2. F = [ey, ex, 1], S: x + y + z = 1, x20, y=0, Evaluate kind of s 3. F = [0, x, 0], S: x2 + y2 + z2 = 1, x20, 12. G 2 y=0, z20 Igmaxs in th 4. F = [ey, -ez, e"], S: x2+ 2 = 25, x20, )MA play =0, 0 = z = 2add A olgminx 13. G = 5. F = [x, y, z], S: r = [u cos v, u sin v, u2], l] lluem aniwolle) O S OSUS4, - TIEUETT 14. G 6. F = [cosh y, 0, sinh x], S: z = xty, Ofy=x, 15. G 7. F = [0, sin y, cos z], S the cylinder x = y , where 1 0Sys TT/4 and 0 = z = y novin 16. G 8. F = [tan xy, x, y], S: y + z = 1, 25 x=5, X y 20, z20 17. F 9. F = [0, sinh z, cosh x], S: x + zz = 4, [1, 1 . 0] X LY. O re O E x E 1 / V/2, O Sy =5, 220 sh 10. F = [y2, x2, z*], S: z = 4Vx +y, Ozs 8 Blumof y20 11. CAS EXPERIMENT. Flux Integral. Write a pro- gram for evaluating surface integrals (3) that prints intermediate results (F, F . N, the integral over one of