Question

If \[\mathbf{x}=\frac{\mathbf{a}}{\mathbf{b}}\], then maximum relative error in the measurement is ______.

Options

• \[\frac{\Delta\mathrm{a}/\mathrm{a}}{\Delta\mathrm{b}/\mathrm{b}}\]

• \[\frac{\Delta a}{a}+\frac{\Delta b}{b}\]

• \[\frac{\Delta a}{a}-\frac{\Delta b}{b}\]

• \[\frac{\Delta b/b}{\Delta a/a}\]

Answer 1

If \[\mathbf{x}=\frac{\mathbf{a}}{\mathbf{b}}\], then maximum relative error in the measurement is \[\frac{\Delta a}{a}+\frac{\Delta b}{b}\].