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Unformatted text preview: to the center of the disk is 2 a/ 3. b) Find the average distance of a point in a disk of radius a to a xed point on the circumference of the disk. (Hint: place the center of the disk at ( a, 0) and the given point on the circumference at the origin). Problem 2. a) Find the area of the region R bounded by the curve r = sin 2 in the rst quadrant. (Do this as a double integral in polar coordinates.) b) Find the coordinates ( x, y ) of its center of mass (take a uniform density = 1). (Hint: it is helpful to rewrite the value of the inner integral as the product of sin by an expression involving only cosines.)...
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This note was uploaded on 03/14/2012 for the course MATH 113 taught by Professor Ogus during the Spring '08 term at University of California, Berkeley.
- Spring '08