MAT 132 Final: MAT 132 SBU Exam Final Fall 201606

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 132
• Professor: All

Document Summary

The exam will consist in ten problems like the ones below. 0 f (x) dx using the trapezoid rule with 2 (two) equal (a) (6 points) approximate z 40. Use to sketch two: each of the diagrams below depicts the direction elds corresponding to a di erential equation of the form dy dx = f (x, y). 7. (a) sketch the graph of the region determined by the curve y = cos(x), between x = 0 and x = . Use the formula for the sum of a geometric series to express this as a fraction (ratio of two whole numbers): write the in nite repeating decimal 0. 17171717 as a geometric series. Use the for- mula for the sum of a geometric series to express this as a fraction (ratio of two whole numbers): determine if the following series converge or diverge. 2n n! (d: let f (x) = 1.