Check Stokes' Theorem, evaluating the two integrals of the statement, to F(x, y, z) = (y, −x, 0), the paraboloid S : z = x2 + y2, with 0 ≤ z ≤ 1, and n pointing out of S.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Check Stokes' Theorem, evaluating the two integrals of the statement, to F(x, y, z) = (y, −x, 0), the paraboloid S : z = x2 + y2, with 0 ≤ z ≤ 1, and n pointing out of S.

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