Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Review - Test - Page 323: 3

Answer

(a) $2500ft$ (b) $1000ft$

Work Step by Step

(a) We have $h(x)=10x-0.01x^2=-0.01(x^2-1000x)$ and we know a maximum will happen when $x=1000/2=500ft$, $h(500)=2500ft$ (b) When the cannonball splash into the water, $h(x)=0$ which gives $x=0, 1000$, choose $x=1000ft$ for the end point.
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