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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.

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.

Advanced Engineering Mathematics
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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Needed to be solved part B only 

4) (a) Consider F(x, y, z) = e-2¹ yi - y³/²zx²j+ln(2z)k е 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.
Transcribed Image Text:4) (a) Consider F(x, y, z) = e-2¹ yi - y³/²zx²j+ln(2z)k е 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.
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