Needed to be solved part B only 4) (a) ConsiderF(x, y, z) = e-2¹ yi - y³/²zx²j+ln(2z)kеand calculate the divergence of F.(b) ConsiderF(x, y, z)=(x-2y) 7i. State Stokes' Theoremii. Verify Stokes' Theorem for the vector function F over the open hemi-sphere 4 = x² + y² + ² above the xy-plane.

Answered: Image /qna-images/answer/1daa8715-6e01-47d1-9b41-0019b94bc416.jpg

Answered: 4) (a) Consider F(x, y, z) = e ²¹ yi -…

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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Determine the divergence of the vector V=(x^2)yi-xyj+xyzk at (3, 2, 1)
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4) (a) Consider F(x, y, z) = e ²¹ yi - y³/²zx²j+ln(2z)k and calculate the divergence of F. (b) Consider F(x, y, z)=(x-2y) 7 i. State Stokes' Theorem ii. Verify Stokes' Theorem for the vector function F over the open hemi- sphere 4 = x² + y² + ² above the xy-plane.