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06-10-2017
Mathematics

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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts (2, 0) and (-2, 0); y-intercepts (0, 4) and (0, -4).

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jdoe0001 jdoe0001

06-10-2017

check the picture below.

[tex]\bf \textit{ellipse, vertical major axis}\\\\ \cfrac{(x-{{ h}})^2}{{{ b}}^2}+\cfrac{(y-{{ k}})^2}{{{ a}}^2}=1 \qquad \begin{cases} center\ ({{ h}},{{ k}})\\ ------\\ h=0\\ k=0 \end{cases} \\\\\\ \cfrac{(x-0)^2}{2^2}+\cfrac{(y-0)^2}{4^2}=1\implies \cfrac{x^2}{4}+\cfrac{y^2}{16}=1[/tex]

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