Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - Review Exercises - Page 742: 1

Answer

$${\text{Graph }}\left( {\text{e}} \right)$$

Work Step by Step

$$\eqalign{ & 4{x^2} + {y^2} = 4 \cr & {\text{Divide both sides of the equation by 4}} \cr & \frac{{4{x^2}}}{4} + \frac{{{y^2}}}{4} = \frac{4}{4} \cr & \frac{{{x^2}}}{1} + \frac{{{y^2}}}{4} = 1 \cr & {\text{The equation has the standard form}} \cr & \frac{{{x^2}}}{{{b^2}}} + \frac{{{y^2}}}{{{a^2}}} = 1,{\text{ }}a > b \cr & \frac{{{x^2}}}{1} + \frac{{{y^2}}}{4} = 1 \Rightarrow a = 2,b = 1 \cr & {\text{With}} \cr & {\text{Vertex }}\left( {0, - a} \right){\text{ and }}\left( {0,a} \right) \Rightarrow \left( {0, - 2} \right){\text{ and }}\left( {0,2} \right) \cr & {\text{Graph }}\left( {\text{e}} \right) \cr} $$
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