MATH 123 Midterm: MATH 123 Drexel Exam1Review

• School: Drexel University
• Department: Mathematics
• Course: MATH 123
• Professor: All

Document Summary

Review questions for exam 1: use riemann summation with the right endpoint evaluation and four intervals to approximate the integral r 2. 0 x3 dx: use simpson"s rule approximation for the de nite integral r 2. 4 subintervals. (recall simpson"s rule: r b a f (x) dx (cid:0) b a. 3n (cid:1) [y0 + 4y1 + 2y2 + + y2n] ): solve the initial value problem, dy, d2y dx = y2, y(0) = 2. dx2 + 2 dy dy. Find the number y(t) of bacteria at time t. For 6 - 9, (a) determine if the sequence is strictly increasing, strictly decreasing, or neither, and (b) determine if the sequence converges and, if so, to what limit: sn = 5 . 2 n : sn = 2n n+1 , sn = n en , sn = 2+sn 1.