College Algebra (10th Edition)

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

Chapter 3 - Section 3.6 - Mathematical Models: Building Functions - 3.6 Assess Your Understanding - Page 263: 6

Answer

$\frac{9x-x^3}{2}$

Work Step by Step

Area of right triangle: $length*width/2$. $y=9-x^2$, thus the width of the right triangle is $x$, the length is $9-x^2$, thus its area is: $x\cdot (9-x^2)=\frac{9x-x^3}{2}$
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