A cyclist and her bicycle have a total mass of 84 kg. She works at a constant rate of \(P \, W\) while moving on a straight road which is inclined to the horizontal at an angle \(\theta\), where \(\sin \theta = 0.1\). When moving uphill, the cyclist’s acceleration is \(1.25 \, \text{m/s}^2\) at an instant when her speed is \(3 \, \text{m/s}\). When moving downhill, the cyclist’s acceleration is \(1.25 \, \text{m/s}^2\) at an instant when her speed is \(10 \, \text{m/s}\). The resistance to the cyclist’s motion, whether the cyclist is moving uphill or downhill, is \(R \, N\). Find the values of \(P\) and \(R\).