Multivariable Calculus, 7th Edition

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

Chapter 13 - Vector Functions - 13.1 Exercises - Page 870: 12

Answer

See image

Work Step by Step

Parametric equations: $\left\{\begin{array}{l} x=t^{2}\\ y=t\\ z=2 \end{array}\right.$ Build a table of values for t: -2, -1, 0,..., ... calculate the coordinates and plot the points. The arrow shows the direction of t increase. z is constant, so the curve lies in the plane z=2. The curve is $x=y^{2}$, a parabola.
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