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A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F. div(F) = V · F = curl(F) = V x F = ( =(000). B) Consider the vector field F(x, y, z) = (-7x², 9(x + y)², −6(x+y + 2)²). Find the divergence and curl of F. div(F) = V. F= curl(F) =V x F = (0

A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F. div(F) = V · F = curl(F) = V x F = ( =(000). B) Consider the vector field F(x, y, z) = (-7x², 9(x + y)², −6(x+y + 2)²). Find the divergence and curl of F. div(F) = V. F= curl(F) =V x F = (0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
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A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F. div(F) = V. F= = (000 curl(F) =V x F = ( B) Consider the vector field F(x, y, z)= (-7x², 9(x + y)²,-6(x+y+z)²). Find the divergence and curl of F. div(F) = V.F= curl(F) =V x F = (
Transcribed Image Text:A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F. div(F) = V. F= = (000 curl(F) =V x F = ( B) Consider the vector field F(x, y, z)= (-7x², 9(x + y)²,-6(x+y+z)²). Find the divergence and curl of F. div(F) = V.F= curl(F) =V x F = (
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