MATH 141 Midterm: MATH141H_BOYLE-M_FALL2003_0101_MID_EXAM_1

• School: University of Maryland
• Department: Mathematics
• Course: MATH 141
• Professor: All

Document Summary

Midterm 2 math 141h fall 2003 boyle: put a box around the nal answer to a question, no books. Let tn denote the value of the trapezoid rule approximation a f (x) dx . Brie y justify your answer. to r b smaller than r b: (20 points) for each integral below, give the appropriate description: ; ; Dne (does not exist); or converges (i. e. the improper integral is well de ned and converges to a nite real number you don"t have to compute it). No proof required (except for partial credit). (a)z . 0 sin(x) ex x dx (c)z . 8x5 + 13x + 2 dx (d)z . Error bound for simpson"s rule approximation to r b a f (x)dx: n k(b a)5/[180n4], where k is the max over a x b of |f (4)(x)|.