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: 5

Answer

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

Work Step by Step

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