Answer
$\frac{x^2}{7}+\frac{y^2}{16}=1$
Work Step by Step
1. Based on the given conditions, we have the center $(0,0)$, a vertical major axis, $c=3, a=4$, and $b^2=a^2-c^2=7$
2. Thus we have the equation $\frac{x^2}{7}+\frac{y^2}{16}=1$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 11 - Sequences; Induction; the Binomial Theorem - Cumulative Review - Page 860: 7
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