Please write the solution on paper. 15. Verify Stokes' Theorem for the vector field F = 2xyi + xj + (y + z)k and the surface z = 4 – x² – y²,z > 0,oriented with normal n pointing upward. (To verify, show that both the line integral and the double integral yieldthe same result)

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Answered: 15. Verify Stokes' Theorem for the…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 2E

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15. Verify Stokes' Theorem for the vector field F = 2xyi + xj + (y + z)k and the surface z = 4 – x² – y²,z > 0, oriented with normal n pointing upward. (To verify, show that both the line integral and the double integral yield the same result)