Amelia S.
asked 03/31/22Find the total area enclosed by the cardioid r=8−cosθ shown in the following figure:
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1 Expert Answer
Yefim S. answered 04/01/22
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5
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Math Tutor with Experience
Area A = 2·1/2∫0π(8 - cosθ)2dθ = ∫0π(64 - 16cosθ + 1/2 + 1/2cos2θ)dθ = (64.5θ - 16sinθ +1/4sin2θ)0π = 64.5π
My answer: 64.5π
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Paul M.
04/01/22