Let f(x, y) and g(x, y) be vector fields, let a and b be constants, and let C be a curve in R². Show that [(af±bg)·dr = (aft bg) dr = a f.dr + b g.dr. [.g.dr. JC

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。
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6. Let f(x, y) and g(x, y) be vector fields, let a and b be constants, and let C be a curve in R².
Show that
[ (af± bg)·dr = af t
(aftbg) dr = a f.dr + bg.dr.
JC
JC
Transcribed Image Text:人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 6. Let f(x, y) and g(x, y) be vector fields, let a and b be constants, and let C be a curve in R². Show that [ (af± bg)·dr = af t (aftbg) dr = a f.dr + bg.dr. JC JC
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