158k views
4 votes
Express the area A of the triangle as a function of x. a(x)=

Express the area A of the triangle as a function of x. a(x)=-example-1
User Wazeed
by
9.2k points

1 Answer

3 votes

..

Given:


y=x^2

The area of the right angle triangle is


A_{\text{triangle}}=(1)/(2)* width* height

From the right triangle in the curve given, the dimension of the width and height is


\begin{gathered} width=x \\ height=y \end{gathered}

Therefore, the area becomes


A_{\text{triangle}}=(1)/(2)* x* y
\begin{gathered} \text{Note} \\ y=x^2 \\ \text{Therefore,} \\ A_{\text{triangle}}=(1)/(2)* x* x^2 \\ A_{\text{triangle}}=(1)/(2)* x^3 \end{gathered}

Hence:

A(x) = x³/2

User Bitfox
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories