Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 12 - Parametric Equations, Polar Coordinates, and Conic Sections - 12.1 Parametric Equations - Preliminary Questions - Page 602: 5


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Work Step by Step

(a) We can see that in the path $c_1(t)=(f(t),f(t))$, $x=y$. That is, the path is a straight line in the plane, making an angle $\pi/4$ with the $x$-axis. (b) the path will be the same as in $a$, except that in this case $c_2(t)=(f(2t),f(2t))$, so the ant goes faster.
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