# hmwk6 - Math 215 Homework Set 6 16.4 16.6 Winter 2008 Most...

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Math 215 Homework Set 6: §§ 16.4 – 16.6 Winter 2008 Most of the following problems are modified versions of homework problems from your text book Multivariable Calculus by James Stewart. 16.4a. Do Problems 29–32 of § 16.4 in Stewart’s Multivariable Calculus . 16.4b. Use polar coordinates to evaluate 6 0 36 - x 2 - 36 - x 2 ( x 3 + y 2 x ) dy dx. 16.5a. A thin lamina is formed by considering the region inside the circle x 2 + y 2 = 6 y and outside the circle x 2 + y 2 = 9 . Find the center of mass of the lamina if the density at any point (in grams per meter squared) is inversely proportional to its distance from the origin. Follow up question: why do we not care what the constant of proportionality is? 16.6a. Find the region
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