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Identify the conic whose equation is given.
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\[r= \frac{ 1 }{ 3+2\sin \theta } \]
@SolomonZelman help!
You'd find information on solving this type of problem were you to do an Internet search for "polar equations of conics." One result of my recent search was https://www.google.com/webhp?sourceid=chrome-instant&rlz=1C1CHFX_enUS461US461&ion=1&espv=2&es_th=1&ie=UTF-8#q=equations%20of%20conics%20in%20polar%20form. After you've read that through, let me know if you stil need guidance in solving the question you've posted.
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