Question

In: Advanced Math

Problem 5. During droughts, water for irrigation is pumped from the ground. When ground water is...

Problem 5. During droughts, water for irrigation is pumped from the ground. When ground water is pumped excessively, the water table lowers. In California, lowering water tables have been linked to reduced water quality and sinkholes. A particular well in California’s Inland Empire has been monitored over many years. In 1994, the water level was 250 feet below the land surface. In 2000, the water level was 261 feet below the surface. In 2006, the water level was 268 feet below the surface. In 2009, the water level was 271 feet below the surface. In 2012, it was 274 feet below the surface. And in 2015, it was 276 feet below the surface. (a) Find a cubic (degree 3) polynomial model for this data on water level. First, define what x and y mean here, and write the data points you use. Then, find a cubic which is a best fit for this data, in the least squares sense. (b) Use your model to predict the water level of the well, in feet below the surface, in 2020. You may assume that the trends of 1994 to 2015 continue to 2020.

Solutions

Expert Solution

----------MATLAB OUTPUT--------

------------------MATLAB CODE-----------------

FIGURE

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

. During droughts, water for irrigation is pumped from the ground. When ground water is pumped...
. During droughts, water for irrigation is pumped from the ground. When ground water is pumped excessively, the water table lowers. In California, lowering water tables have been linked to reduced water quality and sinkholes. A particular well in California’s Inland Empire has been monitored over many years. In 1994, the water level was 250 feet below the land surface. In 2000, the water level was 261 feet below the surface. In 2006, the water level was 268 feet below...
Water will be pumped from a reservoir free surface of which is at an elevation of...
Water will be pumped from a reservoir free surface of which is at an elevation of “z1” to reservoir the free water surface of which is at “z2”. Both of the reservoirs’ free surfaces at atmospheric pressures.Design a piping system that transmits water from the lower reservoir to the upper reservoir at a volumetric flow rate of Q (m3 /h). Q = 200 (m3/h) Za = 10(m) Zb= 60 (m) Zc = 75 (m) L1=200 (m) L2=125 (m) "Pipe material...
Water will be pumped from a reservoir free surface of which is at an elevation of...
Water will be pumped from a reservoir free surface of which is at an elevation of “z1” to reservoir the free water surface of which is at “z2”. Both of the reservoirs’ free surfaces at atmospheric pressures.Design a piping system that transmits water from the lower reservoir to the upper reservoir at a volumetric flow rate of Q (m3 /h). Q = 200 (m3/h) Za = 10(m) Zb= 60 (m) Zc = 75 (m) L1=200 (m) L2=125 (m) "Pipe material...
A small water pump is used for an irrigation project. The pump takes water in from...
A small water pump is used for an irrigation project. The pump takes water in from a river at 10oC, 100 kPa at a mass flow rate of 16.83 kg/s. The exit line enters a pipe that goes up to an elevation 26.15 mm above the pump and river, where the water runs into an open channel. Assume the process is adiabatic and that the water stays at 10 oC. Find the required pump work.
Describe the flow of water from the ground into the water table and to a stream,...
Describe the flow of water from the ground into the water table and to a stream, lake or swam.
During droughts, cities often impose water use restrictions on consumers. Suppose a representative consumer has preferences...
During droughts, cities often impose water use restrictions on consumers. Suppose a representative consumer has preferences for Water (W) and other goods (X) given by the utility function: U(W,X) = WX. Suppose the price of other goods is $1 and the price of water is initially 50¢. The consumer has a budget of $100/week. a. How much water will the consumer purchase each week? b. Suppose the government imposes a quota on water use of 50 units/week. Show that the...
Water is drawn from a reservoir and pumped an equivalent length of 2 miles through a...
Water is drawn from a reservoir and pumped an equivalent length of 2 miles through a horizontal, circular duct of 10-in. i.d. (wall roughness k = 0.01 ft). At the end of this duct, the flow is divided into a 4- and a 3-in. schedule 40 steel pipe. The 4-in. line has an equivalent length of 200 ft. and discharges to the atmosphere at a point 50 ft. above the surface of the water in the reservoir. This flow must...
For the soil profile shown in the figure above of Problem 4, when the water table elevation is raised to the top of the ground surface:
For the soil profile shown in the figure above of Problem 4, when the water table elevation is raised to the top of the ground surface:(a) What is the change in the effective stress at Point A?(b) What will be the consequence of the effective stress change?Assume that the total unit weight of the top soil below the water table will increase 5% from its moist unit weight after raising the water table.
Water at 200 Fahrenheit is pumped from a storage tank at the rate of 50 gallons/minute....
Water at 200 Fahrenheit is pumped from a storage tank at the rate of 50 gallons/minute. The motor for the pump supplies work at the rate of 2 hp. The water goes through a heat exchanger, giving up heat at the rate of 40,000 BTU/minute(Q Net In), and is delivered to a second storage tank at an elevation 50 feet above the first tank. What is the temperature of the water delivered to the second tank?
Cooling water (T= 20 C) is pumped from a reservoir to rock drills on a construction...
Cooling water (T= 20 C) is pumped from a reservoir to rock drills on a construction job using the pipe system With Diameter D = 10 cm. The flow rate must be 130 m3/h and water must leave the spray nozzle at 30 m/s. Nozzle discharge at the 100 m above reservoir (a) Calculate the minimum pressure needed at the pump outlet. (b) Estimate the required power input if the pump efficiency is 70 percent. know that, K 1 =...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT