Science:Math Exam Resources/Courses/MATH100/December 2010/Question 07/Statement

Full-Solution Problems. In questions 2-8, justify your answers and show all your work. If a box is provided, write your final answer there. Simplification of answers is not required unless explicitly requested.

Determine and carefully justify an upper bound for the absolute value of the error that would result if the second degree Maclaurin polynomial $T_{2}(x)$ was used to estimate $f(1)$, where

$f(x)=e^{x}(x^{2}-7x+15)$

Your upper bound may be left unsimplified ("Calculator-ready") but it must be a specific numerical value. NOTE: You are not required to find $T_{2}(x)$ and no credit will be given for finding $T_{2}(x)$.