MATH 129 Midterm: MATH 129 University of Arizona Exam 4A S16

• School: University of Arizona
• Department: Mathematics Main
• Course: MATH 129
• Professor: All

Document Summary

Exam # 4, sections 10. 1 - 10. 3, 11. 1 - 11. 3, 11. 5 - 11. 6. 15: find the third-order taylor polynomial of (1 + x) ex about the point x = 0. Compute the taylor polynomial directly from the de nition - do not use the table of known taylor series. Use the result above to calculate the exact value of the sum. X n=0 ( 1)n n + 1 n: pad e approximants are rational functions used to approximate more complicated functions. In this problem, you will derive the pad e approximate to the exponential function. (a) let f (x) = (1 + ax)/(1 + bx), where a and b are constants. Nd the sum of the series. ( e 1) ( e 1)2. 3: for what value(s) of the constant m will y = emx be a solution to the di erential equation? y . 10y = 0: the slope eld for the di erential equation dy dx.