MATH 126 Final: MATH 126 UW Final Exam Fall 2010
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Ta"s name: this exam contains 9 problems on 10 pages. You may use one 8 1 scienti c calculator. 2 11 sheet of notes and a non-graphing: give your answers in exact form. Page 2 of 10: [10 points total] let f (x) = ln(2 + 3x4). Find the coe cient on x44 in the taylor series for f (x) based at b = 0. Page 3 of 10: [15 points total] (a) [5 points] evaluate the double integral z 1. 0 z y2+1 y xy2 dx dy. (b) [5 points] evaluate the double integral z 2. 0 z 4 x2 x sin(y2) dy dx. Page 4 of 10 (c) [5 points] let r be the region which lies in the rst quadrant below the line y = x and inside the disk x2 + y2 = 25. The region r is shown in the gure below.
