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(c) Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.

(c) Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.

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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hi please help with part c. 

my ans for (a) is 0 and (b) is 8 

(b) (c) Evaluate directly the line integral of V(x, y) along the path C₂. Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.
Transcribed Image Text:(b) (c) Evaluate directly the line integral of V(x, y) along the path C₂. Using Green's theorem, evaluate the line integral of V(x, y) along the path C:.
A velocity field is defined by (a) V(x, y) -2 = Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the origin, x is constant along C₂ and y is constant along C3. 3 - 2x 0 C3 C₂ 12 X Figure Q3 Evaluate directly the line integral of V(x, y) along the path C₁.
Transcribed Image Text:A velocity field is defined by (a) V(x, y) -2 = Three paths C₁, C₂ and C3 are shown below, where C₁ is a circular are with its centre at the origin, x is constant along C₂ and y is constant along C3. 3 - 2x 0 C3 C₂ 12 X Figure Q3 Evaluate directly the line integral of V(x, y) along the path C₁.
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