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# 9 - Jignesh Patel due at 11:59pm EST Assignment 9 MATH262...

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Jignesh Patel Assignment 9 MATH262, Fall 2010 due 11/28/2010 at 11:59pm EST. 1. (1 pt) Using polar coordinates, evaluate the integral Z Z R sin ( x 2 + y 2 ) dA where R is the region 9 x 2 + y 2 81. 2. (1 pt) Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles x 2 + y 2 = 36 and x 2 - 6 x + y 2 = 0. 3. (1 pt) Use the polar coordinates to find the volume of a sphere of radius 10. 4. (1 pt) A cylindrical drill with radius 1 is used to bore a hole throught the center of a sphere of radius 2. Find the volume of the ring shaped solid that remains. 5. (1 pt) A. Using polar coordinates, evaluate the improper integral

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