Solution: (a) Set up, but do not evaluate, a double integral for the area of the surface
Chapter 16, Problem 58(choose chapter or problem)
(a) Set up, but do not evaluate, a double integral for the area of the surface with parametric equations , , , , . (b) Eliminate the parameters to show that the surface is an elliptic paraboloid and set up another double integral for the surface area. ; (c) Use the parametric equations in part (a) with and to graph the surface. (d) For the case , , use a computer algebra system to find the surface area correct to four decimal places.
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