2 You are given that \(a = \tanh ( 1 )\) and \(b = \tanh ( 2 )\).
\(A\) is the approximation to \(a\) formed by rounding \(\tanh ( 1 )\) to 1 decimal place.
\(B\) is the approximation to \(b\) formed by rounding \(\tanh ( 2 )\) to 1 decimal place.

1. Calculate the following.
   • The relative error \(\mathrm { R } _ { \mathrm { A } }\) when \(A\) is used to approximate \(a\).
   • The relative error \(\mathrm { R } _ { \mathrm { B } }\) when \(B\) is used to approximate \(b\).
   • Calculate the relative error \(\mathrm { R } _ { \mathrm { C } }\) when \(\mathrm { C } = \frac { \mathrm { A } } { \mathrm { B } }\) is used to approximate \(\mathrm { c } = \frac { \mathrm { a } } { \mathrm { b } }\).
   • Comment on the relationship between \(R _ { A } , R _ { B }\) and \(R _ { C }\).