sum7.4.20 - Week 3 Homework: Wed, Thurs, Mon 7.3 trig...

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Week 3 Homework:Wed, Thurs, Mon7.3 trig substitution – text ex 3, #277.4 partial fractions – #21 below, #257.7 approximate integration — answers as sums7.8 improper integrals (first case)8.2 surface areas (rotation aboutx-axis)
2Homework notes:In 7.3, #27 done in-class. Thisweek’s problems are #3, 12, 24 (added), 27. For 7.4,just the problems from the Fall 2004 list between#9 and #38. Problems listed from 7.5 remain onthis week’s syllabus.For 7.7, see example below; decimal approximationswill not be on exam, answers as explicit sums will be.7.8 - 5,8,9 and 8.2 - 5, 8, 10, 11 as covered in class todaProblem 7.4.20:EvaluateZx2(x-3)(x+ 2)2dx.Solution:The method of partial fractions says there areA, B, Csox2(x-3)(x+ 2)2=Ax-3+Bx+ 2+C(x+ 2)2.As in previous cases, we first clear denominators,multiplying both sides by(x-3)(x+ 2)2,sox2=A(x+ 2)2+B(x-3)(x+ 2) +C(x-3).
Again as in previous cases, we plug in the distinct real
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