Science:Math Exam Resources/Courses/MATH101/April 2016/Question 8 (a)

MATH101 April 2016
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Question 8 (a)

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.

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