HW18 - Sect. 10.4-solutions - cai(atc667 HW18 Sect 10.4...

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00110.0pointsThe shaded region inlies inside the polar curver= 4 cosθandoutside the polar curver= 2 cosθ. Which ofthe following integrals gives the area of thisregion?integraldisplayπ/2π/2braceleftBig(4 cosθ)2-(2 cosθ)2bracerightBigdθ .Consequently,
integraldisplayπ/2
10.0pointsFind the area of the region bounded by thepolar curver=2 sinθas well as the raysθ= 0 andθ=π/3.1.area =582.area =12correct

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