MATH 166 Midterm: MATH 166 Ball State nbd3Solution

• School: Ball State University
• Department: Mathematical Sciences
• Course: MATH 166
• Professor: All

Document Summary

Math 166 exam iii review: for the following power series, nd the ra- dius and interval of convergence. a. ) b. ) c. ) d. ) Pn=0 ( x)n n2 + 2 n(x + 2)n 1. 1 + x4 dx as an in nite series: find a series representation for z sin x2, express z 1 dx as an in nite series. Use e x2 dx x the rst 3 terms of this series to approximate the integral and estimate the error in this approximation: find the coe cient of (x 4)3 of the taylor. Series for the function f (x) = x at a = 4: let f (x) = e2x. a. ) Find t3(x), the 3rd order taylor poly- nomial centered at a = 2. b. ) Use taylors remainder theorem to es- timate the accuracy of the approximation. T3(2. 5): graph the parametric curve given by x = 2 sin t, y = 3 + cos t, 0 t 2 .