Question

Evaluate the integral Ms (x, y, z) ds over the surface o represented by the vector-valued function r (u, v). -; r(u, v) = 7 u cos vi+7 u sin vj + 7 u’ k (0 sus sin v, 0 SV ST) 9 f (x, y, z) = 49 + 4x2 + 4y2 Enter the exact answer. 144 f (x, y, z) dS = ? Edit 0 action Attornten of 1

Answer 1

Given that, I ftn 4,7) ds oners the Surface o nepresented by the veetor-valued function mare). feny, z). Muin) - Jucasti + Fusine 3 + 4² k (Os us sime, osus Row, the tongent vectors are Ju9+ 4x²+442 & following 2 two en (ou conse), Gu (ace Smu) 9 Pu Cəw?)) Flosse, Isince, 144). tv - <a o czucosv)». (əu Sinu), 3 (qu?)) 64-zusinie, al cost o) tux tv a حه Fcos Isiny 140 -Tusinue Facosu o {o-rab gutes 33-3? je u +229) ucose +490 bin ke koje einze - 3814² caste? - 3842 finuj Altextull ✓ Cogul Cas? 0 + (3 Buy Sin e tyre? 2400 / 40 ²+1 tuguê

2 ffery, z) Geht wh rah ds JSE S √ 49 +4(x242) Sin Sim Sinu 63 2 ay 494 5442-1 dude √ 49 +4.4gu? g. itu sunset -dudv. 7. 4u²1 63 1 1 Sin ududi. "[u2 sin de 63 a sinh v dv Sh2 bin ar dr. In Cl- cos26) dr . [u - Sinare 63 [[n- Sinan Squnit. 69 63 9 63 9 П 63 рч 2 630 2 4 II ten, y, z) ds 632 2 4