Variables \(s\) and \(t\) are such that \(s=4t+3e^{-t}\).

(i) Find the value of \(s\) when \(t=0\).

(ii) Find the exact value of \(t\) when \(\dfrac{ds}{dt}=2\).

(iii) Find the approximate increase in \(s\) when \(t\) increases from \(\ln5\) to \(\ln5+h\), where \(h\) is small.