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Q35.

Expert-verifiedFound in: Page 797

Book edition
7th Edition

Author(s)
James Stewart, Lothar Redlin, Saleem Watson

Pages
948 pages

ISBN
9781337067508

**Use a graphing device to graph the ****ellipse.**

**$\frac{{x}^{2}}{25}+\frac{{y}^{2}}{20}=1$**

Hence, the graph of the ellipse $>">\frac{{x}^{2}}{25}+\frac{{y}^{2}}{20}=1$ is as shown:

Given the equation of ellipse $>">\frac{{x}^{2}}{25}+\frac{{y}^{2}}{20}=1$.

substitution method.

Comparing the given equation with the standard equation,

$\begin{array}{l}\Rightarrow {a}^{2}=25\\ \Rightarrow a=5\\ \Rightarrow {b}^{2}=20\\ \Rightarrow b=4.47\\ \Rightarrow c=\sqrt{25-20}\\ \Rightarrow c=\sqrt{5}\\ \Rightarrow c=2.24\end{array}$

Hence,

The coordinates of the vertices are $\left(\pm 5,0\right)$

The coordinates of the foci are $\left(\pm 2.24,0\right)$

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