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
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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8899da1-90ac-4c1c-b86a-2d17b7ef20f6%2F22f3117a-b25c-44b1-82f0-116dbf8a9784%2F6vq0gbu_processed.png&w=3840&q=75)
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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