College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 1 - Review Exercises - Page 146: 47

Answer

$[0.5,0.75]$

Work Step by Step

The boundary values are when $I=3600$ and $I=1600$. If $I=3600=\frac{900}{x^2}\\3600x^2=900\\x^2=0.25\\x=\pm0.5$ But $x$ is positive, thus $x=0.5$ If $I=1600=\frac{900}{x^2}\\1600x^2=900\\x^2=9/16\\x=\pm0.75$ But $x$ is positive, thus $x=0.75$ So the range is $[0.5,0.75]$
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