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Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x, y, ±) = In (æ) + =, In (y) Find a potential function, o (x, y, :). Use the 3D field above, and evaluate this integral for any simple curve C that does not touch any of the coordinate planes and starts at (1, 1, 1) and ends at (e, e, e). F· dr = (V9) · dr =???

Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x, y, ±) = In (æ) + =, In (y) Find a potential function, o (x, y, :). Use the 3D field above, and evaluate this integral for any simple curve C that does not touch any of the coordinate planes and starts at (1, 1, 1) and ends at (e, e, e). F· dr = (V9) · dr =???

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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Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x,y, :) = -, In (x) + In (y) Find a potential function, o (x, y, :). Use the 3D field above, and evaluate this integral for any simple curve C that does not touch any of the coordinate planes and starts at (1, 1, 1) and ends at (e, e, e). = [ (Ve) dr =??? F- dr =
Transcribed Image Text:Suppose we ALREADY KNOW that this field is conservative in Octant I: F (x,y, :) = -, In (x) + In (y) Find a potential function, o (x, y, :). Use the 3D field above, and evaluate this integral for any simple curve C that does not touch any of the coordinate planes and starts at (1, 1, 1) and ends at (e, e, e). = [ (Ve) dr =??? F- dr =
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