KalianneA395382 KalianneA395382
  • 25-10-2022
  • Mathematics
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What is the polar form of the equation? What type of polar curve is this?

What is the polar form of the equation What type of polar curve is this class=

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SabelaL652429 SabelaL652429
  • 25-10-2022

The curve is given to be:

[tex]x^2+y^2+12y=0[/tex]

We can rewrite the equation in the form:

[tex]\frac{\left(x-h\right)^2}{a^2}+\frac{\left(y-k\right)^2}{b^2}=1[/tex]

Using the Completing the Square method, we have the equation to be:

[tex]\frac{\left(x-0\right)^2}{6^2}+\frac{\left(y-\left(-6\right)\right)^2}{6^2}=1[/tex]

Therefore, the ellipse's center is (0, -6).

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