Find the potential function f for the field F. Here you can assume that the vector field is conservative - no need to check it. F = (y-z)i + (x + 2y - z)j - (x + y)k f(x, y, z) = x(y + y2) -xz - yz + C O f(x, y, z) = x + y2 -xz-yz + C O f(x, y, z) = xy + y2 - xz - yz + C O f(x, y, z) = xy + y²-x-y+C

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 29
Find the potential function f for the field F. Here you can assume that the vector field is conservative - no need to check it.
F = (y-z)i + (x + 2y - z)j - (x + y)k
O f(x, y, z) = x(y + y2) - xz - yz + C
O f(x, y, z) = x + y2 -xz-yz + C
O f(x, y, z) = xy + y2 - xz - yz + C
O f(x, y, z) = xy + y²-x-y+C
Transcribed Image Text:Question 29 Find the potential function f for the field F. Here you can assume that the vector field is conservative - no need to check it. F = (y-z)i + (x + 2y - z)j - (x + y)k O f(x, y, z) = x(y + y2) - xz - yz + C O f(x, y, z) = x + y2 -xz-yz + C O f(x, y, z) = xy + y2 - xz - yz + C O f(x, y, z) = xy + y²-x-y+C
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