Answer
Range: $f(t) \in [1,4]$ and $g(t) \in [2,3]$
Work Step by Step
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 $g(t) \in [2,3]$.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 10 - Parametric Equations and Polar Coordinates - 10.1 Curves Defined by Parametric Equations - 10.1 Exercises - Page 686: 23
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