Solved: 3940 Use the Wallis sine and cosine formulas: /20sinn x dx = 2 1 3 5 (n 1)2 4 6

Chapter 14, Problem 40

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3940 Use the Wallis sine and cosine formulas: /20sinn x dx = 2 1 3 5 (n 1)2 4 6 n n evenand 2 /20sinn x dx = 2 4 6 (n 1)3 5 7 n n oddand 3 /20cosn x dx = 2 1 3 5 (n 1)2 4 6 n n evenand 2 /20cosn x dx = 2 4 6 (n 1)3 5 7 n n oddand 3Find the mass of the solid in the first octant bounded aboveby the paraboloid z = 4 x2 y2, below by the planez = 0, and laterally by the cylinder x2 + y2 = 2x and theplane y = 0, assuming the density to be (x, y, z) = z.

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