The \(f\)-chart is based on \(F_{R}(\tau \alpha)\) and \(F_{R} U_{c}\) values, which can be deduced from a plot of collector efficiency versus \(\left(T_{\text {fin }}-T_{a}\right) / I\). If such a plot is not available but

(a) a plot of efficiency versus \(\left(\bar{T}_{f}-T_{a}\right) / I\) is available or

(b) a plot of efficiency versus \(\left(T_{\text {fout }}-T_{a}\right) / I\) is available, how can \(F_{R}(\bar{\tau} \bar{\alpha})\) and \(F_{R} U_{c}\) be calculated from the slope and the intercept of these two curves? Express your results in terms of the slopes, intercepts, and fluid capacitance rate \(m c_{p} / A_{c}\).