Answer
$2\text{ cm}$
Work Step by Step
(a) Substitute $t=0$ into the equation:
$$y\left(0\right)=2e^{-0}\cos \left(6\left(0\right)\right)=2$$
Thus, the displacement is $2$ cm.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 6 - 6.3 - Trigonometric Functions of Any Angle - 6.3 Exercises - Page 455: 106a
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