. Using Green's theorem, show that the area of a plane region in polar coordinate is 1 $ C r²do. Hence, find the area of cardioid r = a(1- cos 0), a > 0.

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Chapter2: Second-order Linear Odes
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. Using Green's theorem, show that the area of a plane region in polar coordinate is
1
$
C
r²do.
Hence, find the area of cardioid r = a(1- cos 0), a > 0.
Transcribed Image Text:. Using Green's theorem, show that the area of a plane region in polar coordinate is 1 $ C r²do. Hence, find the area of cardioid r = a(1- cos 0), a > 0.
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