Question: 2. a. Find the rectangular equation for the surface. (by eliminating the parameters from the vector valued functions). r(u,v) = 3 cosv cosu i +

2. a. Find the rectangular equation for the surface. (by eliminating the parameters from the vector valued functions). r(u,v) = 3 cosv cosu i + 3 cosv sinu j + 5 sinv k. b. Find the vector valued function (parametric representation) whose graph is 4x2 + y? = 16. c. Find the surface area of the portion of the hemisphere F (x, y) = 25 - x2 - y2 that lies above the region R bounded by the circle x2 + y? $ 16. 3. Find the surface integrals (DO NOT Compute, Setup only) a. JIs xy dS, where S is the first octant portion of the plane z= 3-x - y. Sketch S and R ( your choice of R). b. SS (y + 5) dS, where S: r(u,v) = (u, v, 2v), Osus1, 15VS2. 4a. Evaluate JJ (x - 2y + z) dS, Sketch S and evaluate. a. S: z=4-x, OSx$ 4, 0sys3 b. S: z = 2, x2 + y's 1

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