Question: Find the surface integrals. a. 5 xy d5. where Sis the first octant portion of the plane 2 = 3 x - v. Sketch S


Find the surface integrals. a. \"5 xy d5. where Sis the first octant portion of the plane 2 = 3 x - v. Sketch S and R [ R: projection of S onto xv-plane]. b. HS (3: + 53-45. where s: rlu,v} = {u, v, 2v], 0 s u s 1,1 5 v s 2. Evaluate H (I 23" + 2) d5. Sketch S and evaluate. a. S:z=4x, 05x54,05v53 b. S:z=2,x2+vzsl 3. Evaluate H5 (1: + 2) d5, 5: the firstoctant portion of the cylinder v2+ 2?: 9 between :1 = D and x = 4. i} Sketch S iii Use the method of parametric representation to evaluate this iii] Use the method ofthe 2= @1va and R {projection ofS onto Jog-plane} To evaluate this surface integrallUse the table] 4. Find the surface integral; \"5 2 d5, where S is the surface whose sides 51 is given by the cylinder x2 + v2 = 4, whose bottom 52 is the disk x1 + Y2 s 4 in the plane 2 = 0, and whose top 53 is the part of the plane 2 : 2+ x that lies above 52. Sketch 5 first
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