Find the curl of the vector field F. F=(x-y-z)i + (2x -y + 5z)j + (8x + 7y+z)k curl F = i + j k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
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Find the curl of the vector field F.
F=(x-y-z)i + (2x − y + 5z)j + (8x + 7y+z)k
curl F=i+ Oj+k
Transcribed Image Text:Find the curl of the vector field F. F=(x-y-z)i + (2x − y + 5z)j + (8x + 7y+z)k curl F=i+ Oj+k
Integrate the given function over the given surface.
G(x,y,z)= y² over the sphere x2 + y2 + z² = 4
Integrate the function.
G(x,y,z) do =
S
(Type an exact answer in terms of л.)
Transcribed Image Text:Integrate the given function over the given surface. G(x,y,z)= y² over the sphere x2 + y2 + z² = 4 Integrate the function. G(x,y,z) do = S (Type an exact answer in terms of л.)
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