Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 10 - Parametric Equations and Polar Coordinates - 10.1 Exercises: 23

Answer

From the problem statement, we see that $1 \leq x \leq 4$ and $2 \leq y \leq 3$. So the curve must be contained in the range $f(t) \in [1,4]$ and $g(t) \in [2,3]$.

Work Step by Step

From the problem statement, we simply use the definition of range to find that $f(t) \in [1,4]$ and $g(t) \in [2,3]$. Note that we cannot determine anything of the domain, $(x,y)$.
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