English, 26.11.2019 07:31 alexisfhenders
(1 point) a) use green's theorem to compute the area inside the ellipse x222+y2172=1x222+y2172=1. use the fact that the area can be written as ∬ddxdy=12∫∂d−y dx+x dy . ∬ddxdy=12∫∂d−y dx+x dy . hint: x(t)=2cos(t)x(t)=2cos(t). the area is . b) find a parametrization of the curve x2/3+y2/3=52/3x2/3+y2/3=52/3 and use it to compute the area of the interior. hint: x(t)=5cos3(t)x(t)=5cos3(t). note: you can earn partial credit on this problem.
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