b) Verify Green's Theorem, by evaluating (both integrals in the theorem) I F(r) • dr counterclockwise around the boundary C of the region R; where C: r(t) = [cost, sin t]; 0 ≤ t ≤ 2. (Unit circle) F=[F₁,F2] [2x, -3y]

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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b) Verify Green's Theorem, by evaluating (both integrals in the theorem)
F(r) • dr
counterclockwise around the boundary C of the region R; where
C: r(t) = [cos t,sin t] ; 0 <t < 2n. (Unit circle)
F = [F1,F2] = [2x,–3y]
Transcribed Image Text:b) Verify Green's Theorem, by evaluating (both integrals in the theorem) F(r) • dr counterclockwise around the boundary C of the region R; where C: r(t) = [cos t,sin t] ; 0 <t < 2n. (Unit circle) F = [F1,F2] = [2x,–3y]
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