Science:Math Exam Resources/Courses/MATH101/April 2015/Question 08 (b)/Solution 1
Since the region is symmetric around the y-axis so we conclude that .
(Indeed, and is even function, so that from the formula for we can easily see this.)
To find the y-coordinate we use the formula given in Hint (1). Note that from part (a) the area of the region is and
Center of mass: