Hint: Use https://www.desmos.com/calculator or www.geogebra.org to sketch figure.1) Verify Stoke's Theorem for the vector field F(x, y, z) = 2zų + 3x] + 5yk, taking S to bethe portion of the paraboloid z = 4 – x² – y² for which z > 0 with upward orientation, and Cto be the positively oriented circle x2 + y2= 4 that forms the boundary of S in the xy - plane.Ans: 12nCS CamScanner - Wgo gaall

Let F be a vector field and C be the boundary of the surface S. The Stoke's theorem states that…

Answered: 1) Verify Stoke's Theorem for the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1) Verify Stoke's Theorem for the vector field F(x, y, z) = 2zı + 3x) + 5yk, taking S to be the portion of the paraboloid z = 4 - x2 – y² for which z 2 0 with upward orientation, and C to be the positively oriented circle x2 + y2 = 4 that forms the boundary of S in the xy - plane. %3D Ans: 12n