MATH-0042 Midterm: midterm2sol
Document Summary
For each problem, you should write down all of your work carefully and legibly to receive full credit. When asked to justify your answer, you should use theorems and/or mathemat- ical reasoning to support your answer, as appropriate. There is a list of formulas and four pages of blank paper at the end of the exam. 1/ex = e x, which has radius of convergence : (3 pts. ) Let t7(x) be the degree 7 taylor polynomial for a function f (x), centered at a = 2. Since f (x) = t7(x) for all x, f (x) is at most a degree 7 polynomial. Thus, its ninth deriva- tive is exactly zero at any point. In particular, f (9)(3) = 0: (3 pts. ) (true or false) simpson"s rule is always more accurate than the trapezoid rule. 2 (| 1| + 2|0| + |1|) = 1 and simpson"s rule gives 1.
