1.An incompressible fluid flows horizontally in the x-y plane with a velocity given by u = 33 (y/h)1/2, where y and h are in meters and h is a constant. Determine the average velocity for the portion of the flow between y = 0 and y =h
2.A confined aquifer 30 m thick has been pumped from a fully penetrating well at a steady rate of 5000 m3/day for a long time. Drawdown at an observation well 15 m from the pumped well is 3.0 m, and drawdown at a second observation well 150 m away is 0.30 m. find the hydraulic conductivity of the aquifer.
3.A pair of dice is tossed repeatedly. Find the probability that an 11 occurs for the first time on the 6th toss.