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A) Consider the vector field F(x, y, z) = (-3yz, 6xz, xy). Find the divergence and curl of F. 0 div(F) = ▼ · F = curl(F) = ▼ × F = ( [00 V B) Consider the vector field F(x, y, z) = (6x², 8(x + y)², −3(x+y+z)²). Find the divergence and curl of F. 0 div(F) = V · F = curl(F) = ▼ × F = 000.

A) Consider the vector field F(x, y, z) = (-3yz, 6xz, xy). Find the divergence and curl of F. 0 div(F) = ▼ · F = curl(F) = ▼ × F = ( [00 V B) Consider the vector field F(x, y, z) = (6x², 8(x + y)², −3(x+y+z)²). Find the divergence and curl of F. 0 div(F) = V · F = curl(F) = ▼ × F = 000.

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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Cal 3
A) Consider the vector field F(x, y, z) = (-3yz, 6xz, xy). Find the divergence and curl of F. div(F) = V · F = curl(F) = V × F = x 0.00. B) Consider the vector field F(x, y, z) = (6x², 8(x + y)², −3(x + y + z)²). Find the divergence and curl of F. 0 =<0·00. div(F) = V · F = curl(F) = V x F =
Transcribed Image Text:A) Consider the vector field F(x, y, z) = (-3yz, 6xz, xy). Find the divergence and curl of F. div(F) = V · F = curl(F) = V × F = x 0.00. B) Consider the vector field F(x, y, z) = (6x², 8(x + y)², −3(x + y + z)²). Find the divergence and curl of F. 0 =<0·00. div(F) = V · F = curl(F) = V x F =
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