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anonymous
 5 years ago
Convert to polar form:
\[4x^{2}5y^{2}36y36=0\]
anonymous
 5 years ago
Convert to polar form: \[4x^{2}5y^{2}36y36=0\]

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x=rcos(theta) y=rsin(theta) substitute.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So I began with:\[4(r\cos\theta)^{2}5(r\sin\theta)^{2}36(r\sin\theta)=36\]and end up with:\[r\left[(49\sin^{2}\theta)r36\sin\theta\right]=36\] Is this correct? If yes, what is next?

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1I show your update on my website. Let me just answer you here. \(4r^2\cos^2\theta5r^2\sin^2\theta36r\sin\theta36=0\) Well actually if you just answer this then nobody can say that this is wrong.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you. But the problem is the answer is multiple choice, and the options are: \[A)\quad r=\frac{4}{1+\sin\theta}\]\[B)\quad r=\frac{4}{1+\cos\theta}\]\[C)\quad r=\frac{6}{1\sin\theta}\]\[D)\quad r=\frac{6}{23\sin\theta}\]\[E)\quad None\;of\;the\;above.\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So I put all of these equations on wolframalpha.com and the one that is correct is D. Does anybody know how to get there?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0i did it watchmath :) come grade me :) when you get a chance

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.1The answer is D From above we have \(4r^2\cos^2\theta5r^2\sin^2\theta36r\sin\theta36=0\) \(4r^2\cos^2\theta=5r^2\sin^2\theta+36r\sin\theta+36\) \(4r^2\cos^2\theta+4r^2\sin^2\theta=9r^2\sin^2\theta+36r\sin\theta+36\) \(4r^2(\cos^2\theta+\sin^2\theta)=(3r\sin\theta+6)^2\) \(4r^2=(3r\sin\theta+6)^2\) \(2r=3r\sin\theta+6\) \((23\sin\theta)r=6\) \(r=\frac{6}{23\sin\theta}\).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Thank you. I really appreciate your generosity in answering so many questions. Do you mind if I ask you what motivates you?
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