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Find the circulation and flux of the fields F(x, y) = x²i+y²j and G(x, y) = y²i+x²j around and across the path that consists of the semicircular arch r₁ (t) = a cos ti+a sin tj with 0 ≤ t ≤, followed by the line segment r2(t)= ti with a ≤ t ≤a.

Find the circulation and flux of the fields F(x, y) = x²i+y²j and G(x, y) = y²i+x²j around and across the path that consists of the semicircular arch r₁ (t) = a cos ti+a sin tj with 0 ≤ t ≤, followed by the line segment r2(t)= ti with a ≤ t ≤a.

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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Find the circulation and flux of the fields F(x, y) = x²i+y²j and G(x, y) = y²i+x²j around and across the path that consists of the semicircular arch r₁(t) = a cos ti+a sin tj with 0 ≤ t ≤, followed by the line segment r₂(t) = ti with -a < t <a.
Transcribed Image Text:Find the circulation and flux of the fields F(x, y) = x²i+y²j and G(x, y) = y²i+x²j around and across the path that consists of the semicircular arch r₁(t) = a cos ti+a sin tj with 0 ≤ t ≤, followed by the line segment r₂(t) = ti with -a < t <a.
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