Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 2 - Functions and Their Graphs - 2.6 Mathematical Models: Building Functions - 2.6 Assess Your Understanding - Page 109: 5

Answer

$\frac{x^4}{2}$

Work Step by Step

at for a right triangle $A=\frac{\text{length}\cdot\text{width}}{2}$, where $A$ is the area. Hence here the width is $x$, the length is $x^3$, therefore $A(x)=\frac{x^3\cdot x}{2}=\frac{x^4}{2}$
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