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04faex1 - MATH 222 — THE FIRST MIDTERM October 6 2004...

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Unformatted text preview: MATH 222 —- THE FIRST MIDTERM October 6, 2004, 12:05—12:553m Your Name: Your TA: (circle one) Erik Andrejko Christine Carracino Diego Galindo Hanjun Kim Seyfi Turkelli Score 1a: 1b: 2: 3: 4a: 4b: Total: m—3. 1. (a) Find the partial fraction decomposition of 3 . z —z 2 (b) Find the partial fraction decomposition of You do not have to find the unknown coefficients “A,B, ---” a 2. Compute / sin m1n(cos 3:) dx, where a is some constant satisfying 0 < oz < 7r. 0 V 3. Find a reduction formula for 1k = / (1n a:)kd:c 4. (a) Compute Tnf(x) Where f(a:) = ln(3 + (b) Estimate the error you make when you approximate f (3:) = ln(3 + :2) by T2 f (11:), assuming that |$| S 0.1. ...
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