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Challenge Problem 9. (Optional, Extra Credit, Challenge Problem) If the ellipse 2 12 is to fully enclose the circle x y2 = 2y

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Given eipse a2 62 - Gicle Snae a2t 2 Contiat d he ficle is located ot (o.) and the the min:omal ellipsc that- can cnclosed teb +2a-ua3 om omo 2ba2 2b Then 2a2-ua3 2 ba2-2b a.. 2a( b22a) b2ca2)a(b22a) 2b (a2-) (2 -1 a?b2-b a2h2-2a3 2а3. 62 - о 2a3+ a22aci-a?) 2a ci-aa) a-a3 2 ( 2. aci-a2) 2 2) -a2 2 o2- ub2 -2b2- -9 b 32 3 and b 3 Cs Scanned with CamScanner ( mN

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