16.6 Homework - Parametric Surfaces, Area (Homework)

3. [11 Points] DETAILS SCALCETB 16.6.020. MY NOTES ASK YOU R TEACH ER Find a parametric representation for the surface. the plane that passes through the point (0, 71, 6) and contains the vectors (2, 1, 7) and (73, 2, 6) (Enter your answer as a comma-separated list of equations. Let x, y, and 2 be in terms of u andlor v.) Need Help? 4. [-/1 Points] DETAILS SCALCET9 16.6.023.MI. MY NOTES ASK YOUR TEACHER Find a parametric representation for the surface. the part of the sphere x2 + y2 + zz = 64 that lies above the cone z = \\ x2 + y2 (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) where z > v x 2 + 12 Need Help? Read It Watch It Master It5. [11 Points] DETAILS SCALCET9 16.6.025. MY NOTES ASK YOU R TEACH ER Find a parametric representation for the surface. the part of the sphere X2 + 1/2 + z2 = 16 that lies between the planes 2 : U and z : 2'5. {Enter your answer as a commaiseparated list of equations. Let X, y, and 2 be in terms of u and/0r v.) where05u521r,I/ 6 2 Need Help? 6. [0.5/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 16.6.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find parametric equations for the surface obtained by rotating the curve y =- 1 (4 + x2 ) -2 5 x S 2, about the x-axis. (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of u and/or v.) (where -2 S u s 2, 0 S VS 2n)7. [-/1 Points] DETAILS SCALCET9 16.6.035. MY NOTES ASK YOUR TEACHER Find an equation of the tangent plane to the given parametric surface at the specified point. r(u, v) = u cos(v) i + u sin(v)j+ vk; u =7, v=. Need Help? Read It Watch It8. [11 Points] DETAILS SCALCETB 16.6.039.MI. MY NOTES ASK YOUR TEACH ER Find the area of the part of the plane 5x + By + z : 15 that lies in the first octant. Need Help? 9. [11 Points] DETAILS SCALCETB 16.6.040. MY NOTES ASK YOUR TEACH ER Find the area of the surface. the part of the plane with vector equation r(u, v) = (u + v, 2 6H, 1 + u v) that is given by O S u S 2, 71 S V S 1 Need Help? 10. [-/1 Points] DETAILS SCALCET9 16.6.045. MY NOTES ASK YOUR TEACHER Find the area of the surface. the part of the surface z = xy that lies within the cylinder x2 + y2 = 36 Need Help? Read It Watch It