A pump is used to transport water from a large reservoir to another with an elevation gain of 6.71 m. The pump's performance is approximated by the quadratic function Havail ​=38.1−(1.91×108)Q2, where Q is in m3/s. The total pipe length is 37.79 m, the pipe diameter is 30.47 mm, and the absolute roughness is ϵ=0.0011 inches. Determine the flow rate delivered by the pump and the corresponding net head, given the following minor loss coefficient: KL, ent ​=0.5,KL, valve 1​=2.0,KL, valve 2​=6.8,KL, elbows ​=0.34 (three elbows), KL,exit​=1.05