AMATH242 Study Guide - Quiz Guide: Matlab, Numerical Differentiation, Machine Epsilon

• School: University of Waterloo
• Department: Applied Mathematics
• Course: AMATH242
• Professor: Sverrir

Document Summary

Date due: thursday, may 24th, 2012, @11:00am in the course assignment box (located at the pink boxes area on the 3rd oor of mc, outside of dc-mc bridge). Provide all steps of your calculations: (10 marks) consider functions f (x) = x( x + 1 x) and g(x) = x( x + 1 + x) 1. Compare the results of calculating f (500) and g(500) using six digits and rounding. Provide all steps of your calculations. two algebraically equivalent: (10 marks) consider the following functions: and f (x) = ex 1 x x2. 24 where p (x) corresponds to the taylor polynomial of degree n = 2 for f (x) expanded about x = 0. Compare the results of calculating f (0. 01) and p (0. 01) using six digits and rounding. Provide all steps of your calculations: (20 marks) let f (x) = cos(x).