MTH 161 Midterm: MTH 161 University of Rochester 161 Midterm 2 Spring 2007 sol

• School: University of Rochester
• Department: Mathematics
• Course: MTH 161
• Professor: All

Document Summary

The tank is 8 feet in diameter and. Assume that the ller cap of each automobile is 2 feet above the ground. Z x2 ( 16 x2)3 dx: (10 points) evaluate this integral: Xn=1 ( 1)n ln(n) n: (10 points) (a) find the limit lim n . 5n2 + 2 converge or diverge: (10 points) evaluate z . 1 x3 (x4 + 1)10 dx: (10 points) does the series. Part ii: (10 points) the power series for f (x) = this to get the power series of arctan(x), (10 points) consider the series. For which values of x does it converge: (10 points) suppose that for the power series. Xn=0 cnxn centered at a = 0, we know. Then for each of the following series state if it converges, diverges or it is unknown. Set up (but do not evaluate) the integral to nd the length of the curve x = 1.