10. Verify Stokes' Theorem for: (a) F (2r2y) + (5ry+6)j + (z² + 2r2-3) and S is the surface of the paraboloid z = above the ry plane. 9-(²+ y²) (b) = (x+3y) + (2y + 4x); + 32³k and S is the hemispherical surface z = (25 - r² - y²).

10. Verify Stokes' Theorem for: (a) F (2r2y) + (5ry+6)j + (z² + 2r2-3) and S is the surface of the paraboloid z = above the ry plane. 9-(²+ y²) (b) = (x+3y) + (2y + 4x); + 32³k and S is the hemispherical surface z = (25 - r² - y²).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.6: The Three-dimensional Coordinate System

Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

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full handwritten solution please thank you

10. Verify Stokes' Theorem for:
(a) F (2r2y) + (5ry+6)j + (z² + 2r2-3) and S is the surface of the paraboloid z =
above the ry plane.
9-(²+ y²)
(b) = (x+3y) + (2y + 4x); + 32³k and S is the hemispherical surface z = (25 - r² - y²).

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