Calculus (3rd Edition)

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

Chapter 14 - Calculus of Vector-Valued Functions - 14.1 Vector-Valued Functions - Preliminary Questions - Page 709: 2



Work Step by Step

When projecting to the xz plane, only the x and z components have to be considered. The $x$ and $z$ components of $r(t)$ are $x(t)=t$ and $z(t)=e^t$, respectively. Substituting $x(t)$ in for $t$ gives $z(t)=e^{x(t)}$, which can be written as $z=e^x$.
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