A microfluidic channel has a cylindrical shape but has a constriction in the middle. The inner diameters of the channel and the constriction are 8 and 5 um respectively. The length of the constriction is 10 millimeter and the lengths of the larger cross sections are 50 millimeters. The viscosity of water is =1.0010 N sec. m 50mm 10mm 50mm (a) [9 pts] Calculate the total flow resistance total (b) [6 pts] Calculate the flow rate Q driven by a pressure difference of 1000 at the two ends of the channel.