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vector field is represented by: F(x, y, z) = 3yz lnxi + (5x − 8yz)j + xy6z³ k a) Find the curl of F evaluated at point (10,1,5). Write the components of the curl F separately, separated by a comma. Your answer should not have any decimal places and should be written symbolically. b) Find the divergence of F evaluated at the point (10, 1, 5). Your answer should not have any decimal places and should be written symbolically.

vector field is represented by: F(x, y, z) = 3yz lnxi + (5x − 8yz)j + xy6z³ k a) Find the curl of F evaluated at point (10,1,5). Write the components of the curl F separately, separated by a comma. Your answer should not have any decimal places and should be written symbolically. b) Find the divergence of F evaluated at the point (10, 1, 5). Your answer should not have any decimal places and should be written symbolically.

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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Q10.10 A vector field is represented by: F(x, y, z) = 3yz lnxi + (5x-8yz)j + xy6z³ k a) Find the curl of F evaluated at point (10,1,5). Write the components of the curl F separately, separated by a comma. Your answer should not have any decimal places and should be written symbolically. b) Find the divergence of F evaluated at the point (10, 1, 5). Your answer should not have any decimal places and should be written symbolically.
Transcribed Image Text:Q10.10 A vector field is represented by: F(x, y, z) = 3yz lnxi + (5x-8yz)j + xy6z³ k a) Find the curl of F evaluated at point (10,1,5). Write the components of the curl F separately, separated by a comma. Your answer should not have any decimal places and should be written symbolically. b) Find the divergence of F evaluated at the point (10, 1, 5). Your answer should not have any decimal places and should be written symbolically.
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