anonymous
  • anonymous
Convert the equation 5x^2+5y^2=3y from a rectangular equation to a polar equation
Mathematics
schrodinger
  • schrodinger
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EarthCitizen
  • EarthCitizen
by rectangular do you mean a+jb
anonymous
  • anonymous
complete the square
EarthCitizen
  • EarthCitizen
\[r<\theta \] ?

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amistre64
  • amistre64
r = sqrt(x^2+y^2) stuff
amistre64
  • amistre64
x = r cos(..) y = r sin(...)
amistre64
  • amistre64
5x^2+5y^2-3y=0 5(x^2) +5(y^2-3/5 y) = 0 5(x^2) +5(y^2-3/5 y +(9/25)) = 5(9/25) 5(x^2) +5(y-3/25)^2 = 5(9/25) x^2 + (y-3/25)^2 = 9/25
amistre64
  • amistre64
looks like r = 3/5 in this case
amistre64
  • amistre64
\[(\frac{3}{5},\frac{3}{5}sin(t))\] maybe?
amistre64
  • amistre64
http://www.wolframalpha.com/input/?i=5x%5E2%2B5y%5E2-3y%3D0 http://www.wolframalpha.com/input/?i=polar+%283%2F5%2C+3sin%28t%29%2F5%29 seems to be a match

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