Question: In Problems 1-2, find the surface area of the given surface If an integral cannot be evaluated using the Second Fundamental Theorem of Calculus, then
In Problems 1-2, find the surface area of the given surface If an integral cannot be evaluated using the Second Fundamental Theorem of Calculus, then use the Parabolic Rule with n = 10.
1. The paraboloid z = x2 + y2 over the region
(a) In the first quadrant and inside the circle x2 + y2 = 9
(b) Inside the triangle with vertices (0, 0), (3, 0), (0, 3)
2. The hyperbolic paraboloid z = y2 - x2 over the region
(a) In the first quadrant and inside the circle x2 + y2 = 9
(b) Inside the triangle with vertices (0, 0), (3, 0), (0, 3)
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