16.7 Homework - Surface Integrals (Homework)

1. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.7.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let H be the hemisphere x2 + y~ + z2 = 29, z 2 0, and suppose f is a continuous function with f(4, 3, 2) = 6, f(4, -3, 2) = 8, f(-4, 3, 2) = 11, and f(-4, -3, 2) = 12. By dividing # into four patches, estimate the value below. (Round your answer to the nearest whole number.) 5 X Need Help? Read It Watch It2. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.7.007. Evaluate the surface integral. y dS, S is the helicoid with vector equation r(u, v) = (u cos(v), u sin(v), v), Osus 8, O S VS n 8 x X Need Help? Read It Watch It3. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.7.010. Evaluate the surface integral. xz dS, S is the part of the plane 2x + 2y + z = 4 that lies in the first octant 7.212 X Need Help? Read It4. [0\" Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.7.016. Evaluate the surface integral. ff y2 d5, S is the part of the sphere x2 + y2 + 22 = 1 that lies above the cone 2 = 'J X2 + y2 S 4x X Need Help? 5. [OH Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.7.019. Evaluate the surface integral. ff .0 d3, Sis the boundary of the region enclosed by the cylinder y2 + z2 = 9 and the planesx = D and x + y = 7 S 31.6 Need rue-p