APPM 1360 Midterm: 1360exam1_spring2014_0
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Instructions: books, notes, and electronic devices are not permitted. 1360/exam 1, (3) lecture number/instructor name and (4) spring 2014 on the front of your blue- book. Also make a grading table with room for 4 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Show all work: (a) evaluate the integrals: (i) (8 pts)z e. X dx (b) (9 pts) consider the reduction formula. 1 n cosn 1(x) sin(x) + n 1 n z cosn 2(x) dx for n 2. Apply the formula twice to nd the value of z /2. 0 cos4(x) dx: (a) evaluate the integrals: (i) (8 pts)z 3. 1 x ln(x2) dx (b)(8 pts) z . X3 1 dx (c)(8 pts) z . Justify your answer. (x sin(x) x cos(x)) dx. 0 (x sin(x) x cos(x)) dx by tn, nd an error bound.
