Let S be the sphere x² + y² + z² = 1, oriented so that the unit normal at the point (0,0,1) is(0,0,1). Find the flux of the vector field F(x,y,z) = (3x + 2 sin z, e² + y, eª − 2z) through thesurface S.

Answered: Let S be the sphere x² + y² + z² = 1,…

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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Let S be the sphere x² + y² + z² = 1, oriented so that the unit normal at the point (0,0,1) is (0,0,1). Find the flux of the vector field F(x,y,z) = (3x + 2 sin z, e² + y, eª – 2z) through the surface S.