Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 8 - Section 8.4 - Plane Curves and Parametric Equations - 8.4 Exercises - Page 617: 3

Answer

a) So the graph is shown in picture and the artows indicate direction that $t$ is increasing b) as we found previously $y=t+6=\dfrac {x}{2}+6$

Work Step by Step

$x=2t\Rightarrow t=\dfrac {x}{2}$ $y=t+6=\dfrac {x}{2}+6$ so the graph will be linear and when $x=0$ $y=6$ and when $y=0$ then $x=-12$ a) So the graph is shown in picture and the artows indicate direction that $t$ is increasing b) as we found previously $y=t+6=\dfrac {x}{2}+6$
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