\(\mathrm { f } ( x ) = 2 ^ { x } - 10 \sin x - 2\), where \(x\) is measured in radians
- Show that \(\mathrm { f } ( x ) = 0\) has a root, \(\alpha\), between 2 and 3
[0pt] - Use linear interpolation once on the interval [2,3] to find an approximation to \(\alpha\). Give your answer to 3 decimal places.