13. Show that the field is conservative, find a function f such that F = Vƒ and use it where F = (e²y, 1+ 2xe²y) and C is given by r(t) = (tet, 1+t), to evaluate SF.Tds 0 ≤ t ≤ 1.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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13. Show that the field F is conservative, find a function f such that F = Vƒ and use it
to evaluate ſ F●Tds where F = (e², 1+ 2xe²y) and C is given by r'(t) = (te¹, 1+t),
0 ≤ t ≤ 1.
Transcribed Image Text:13. Show that the field F is conservative, find a function f such that F = Vƒ and use it to evaluate ſ F●Tds where F = (e², 1+ 2xe²y) and C is given by r'(t) = (te¹, 1+t), 0 ≤ t ≤ 1.
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