Science:Math Exam Resources/Courses/MATH101/April 2016/Question 08 (a)/Statement

Let $A$ be the region to the right of the $y$-axis that is bounded by the graphs of $y=x^{2}$ and $y=6-x$. Both parts of this question concern this region $A$.

(a) Find the centroid of $A$, assuming it has constant density $\rho =1$. The area of $A$ is ${\frac {22}{3}}$ (you don’t have to show this). You may leave your answer in calculator-ready form.