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1.Given a Cobb Douglas utility function as follows: u(x1,x2)=(x1)^c * (x2)^d Work with this form of Cobb Douglas utility function directly to derive individual demand functions (by solving the utility maximization problem).
2.The disk has an initial clockwise rotation speed of 8 rad/sec and at t=0 begins a counter-clockwise acceleration of ? = 0.6 t1.88. What is the speed of point A at t=3 sec? Point A has a radius of 2 ft.
A suburban street receives storm water runoff at a rate of 2.0 L/m-s (one each side). the street has a slope of .8 percent and a cross slope of 2 percent, n = .013.
Equation for head loss in a pipe when it is laminar flow: head loss, h= (32*dynamic viscosity,u*pipe length,L*average velocity of fluid,V) / (gravitational acceleration,g*pipe diameter,D^2) Give an equation for relative uncertainty of head loss
A water treatment plant effluent is to be disinfected with chlorine from ton cylinders of compressed gas. The plant is 5 million gallons per day. There are a total of 10 useable cylinders in the plant.
A trapezoidal canal 6m wide at the bottom and having a side slope of 1V:2H carries water with a mean velocity of 1.0m/s to a depth of 60cm. What length of contracted rectangular weir 1.0m high should be placed at the middle of the canal to make th..
Design a rectangular channel contraction from width b1 (upstream) to width b2 (downstream). Assume uniform flow approaches the contraction (i.e. normal depth approaching the channel contraction).
How to calculate the depth of a masonry dam of trapezoidal cross section with height of 24ft,2ft top width,,12 ft base width and weight of concrete 150 lb/ft^3.
Estimate the value of the coefficient of at-rest earth pressure forthe deposit. If, when the water table was at the ground surface, the deposit was normallyconsolidated,would it still be normally consolidated with the water tablelowered? A reason mus..
The upper rod has a cross section of 800 mm^2 and the lower rod has a cross section fo 1,600 mm^2. If the modulus of elasticity is 200 GPa determine the normal stress in each rod.
A 1000 ft long steel pipe carries water from a reservoir with a water elevation at 826 ft. The pipe has a diameter of 12 in. with a wall thickness of .5 in. A gate valve at the downstream end is slowly closed during a half-mintue period
Water with a static pressure of 1.96kN/M2 flows through an 800 mm diameter pipe. A pitot tube pressure gage in this pipe reads a pressure of 5.88 kN/M2. How do you determine the volume flow rate (Q) of the water? (Q = 1.40 M^3/sec, V=2.79 M/sec)
Find the uniform flow depth (in feet) of a concrete trapezoidal channel with a bottom width of 30 ft. and side slopes of 2:1. The channel is laid at a slope of 0.05% and carries a design discharge of 1000 cfs.
Undrained Shear box tests were carried out on a series of soil specimens with the following results Total Normal Stress (kPa) Total shear stress at failure (kPa) Determine the cohesion and the angle of friction of the soil
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