Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 5 - Section 5.6 - Modeling Harmonic Motion - 5.6 Exercises - Page 456: 1

Answer

(a) $y(t)=a\cdot sin(\omega x)$ (b) $y(t)=a\cdot cos(\omega x)$

Work Step by Step

General forms $y(t)=a\cdot sin(\omega(x-b))$ and $y(t)=a\cdot cos(\omega(x-b))$ (a) Since $y(0)=0$ choose since with $b=0$, we have $y(t)=a\cdot sin(\omega x)$ (b) Since $y(0)=a$ choose cosine with $b=0$, we have $y(t)=a\cdot cos(\omega x)$
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