Consider the following vector field. F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k (a) Find the curl of F evaluated at the point (3, 1,4). (b) Find the divergence of F evaluated at the point (3, 1,4).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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Consider the following vector field.
F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k
(a) Find the curl of F evaluated at the point (3, 1,4).
(b) Find the divergence of F evaluated at the point (3, 1,4).
Transcribed Image Text:Consider the following vector field. F(x, y, z) = 3yz lnxi + (9x− 5yz)j + xy³z³ k (a) Find the curl of F evaluated at the point (3, 1,4). (b) Find the divergence of F evaluated at the point (3, 1,4).
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