Answer
(a) See the graph.
(b) $y=x^2+1,~~x\geq0$
Work Step by Step
(a) As $t$ increases $x$ and $y$ increases too.
(b)
$x=t^2~~$ (Notice that $x\geq0$ for any $t$)
$x^2=t^4$
$y=t^4+1$
$y=x^2+1,~~x\geq0$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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: 8
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