Tea Time Numerical Analysis · Problem 1.1.3

Preliminaries — Leon Brin

Mathematics — Numerical Analysis · absolute-error

Problem

Calculate the absolute error in approximating pp by p~\tilde{p}. ((a)) p=123p = 123; p~=11069\tilde{p} = \frac{1106}{9} ((b)) p=1ep = \frac{1}{e}; p~=.3666\tilde{p} = .3666 ((c)) p=210p = 2^{10}; p~=1000\tilde{p} = 1000 ((d)) p=24p = 24; p~=48\tilde{p} = 48 ((e)) p=π−7p = \pi^{-7}; p~=10−4\tilde{p} = 10^{-4} ((f)) p=(0.062847)(0.069234)p = (0.062847)(0.069234); p~=0.0042\tilde{p} = 0.0042

Related theory

Browse the problem library