13th - 1+2 x 2 (c) R ∞ xe-x dx (d) R ∞ e dx x ln x (e)...

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Math 119 Recitation 13 December 20, 2006 1. Investigate the convergence using the comparison and limit comparison tests (a) R 1 0 dx (1 - x 3 ) x 2 + x 4 (b) R 5 2 dx ( x - 3) 2 ( x - 2) 3 / 2 2. Use the limit and the comparison tests to deterimine the convergence of the following integrals (a) R 1 0 dx x 1 - x (b) R 0 x dx
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Unformatted text preview: 1+2 x 2 (c) R ∞ xe-x dx (d) R ∞ e dx x ln x (e) R ∞-∞ x dx 1+ x 4 3. Find the length of the curve (a) y = 1 + 6 x 3 / 2 , 0 ≤ x ≤ 1 (b) x = 1 3 √ y ( y-3), 1 ≤ y ≤ 9 (c) y = cosh( x ), 0 ≤ x ≤ 1 1...
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This note was uploaded on 04/30/2010 for the course MATHEMATIC MATH 119 taught by Professor Tor during the Spring '10 term at Middle East Technical University.

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