Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.6 Mathematical Models: Building Functions - 1.6 Assess Your Understanding - Page 103: 5

Answer

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

Work Step by Step

The area for a right triangle is given by: $A=\dfrac{\text{length} \times \text{width}}{2}$ where $A$ is the area. We are given that the width is $x$ and the length is $x^3$. Thus, we have: $A(x)=\dfrac{(x^3)( x)}{2}=\dfrac{x^4}{2}$
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