Two water pumps follow H = H_{0} − aQ^{2} (H in m, Q in L/min). Pump 1: H_{0} = 6.33 m, a = 0.0633 m/(L/min)^{2}; pump 2: H_{0} = 9.25 m, a = 0.0472 m/(L/min)^{2}. (a) For the two pumps in series, find the combined shut-off head (m), the combined free delivery (L/min) and the flow rate (L/min) above which pump 1 should be bypassed. (b) For the two pumps in parallel, find the combined shut-off head (m), the combined free delivery (L/min) and the head (m) above which pump 1 should be shut off.