1. Four wells, located 2000 feet apart in a square pattern, are pumped at an average rate of 400 gpm from each well. If the transmissivity of the aquifer is 5000 ft'/day and the storage coefficient is 0.05, find the drawdown at the midpoint between the wells after 1000 days of pumping. Carry out the calculations by assuming that this is a confined aquifer.

Q: Water is leaking out of an inverted conical tank at a rate of 14700.0 cm3/min at the same time that…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 10000.0 cm3/min at the same time that…

A: Given that, diameter is 5.5 m which is equivalent to 550 cm.. Therefore, radius is 5502=275 cm.…

Q: 1. Oil is being pumped into a huge cylindrical oil drum with diameter 3 m and length 6 m at a rate…

A:

Q: Water is leaking out of a conical tank at a constant rate of 10,000 cm³/min when the tank is…

A: An inverted conical tank leaks the water at a rate of 10,000 cm3/min.And the height of the tank is…

Q: 3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges…

A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

Q: A ball with a mass of 0.5 kg is thrown vertically into the air and has an initial velocity of 11 m…

A: The maximum height the ball will reach is approximately 6.17 meters.Explanation:To calculate the…

Q: b) A right circular cylinder has a fixed height of 6 units. Find the rate of change of its Volume V…

A: Definition used -               The volume of the cylinder -…

Q: A cylindrical tank that is 30 feet high with a radius of 5 feet is filled with water. At time t = 0,…

A:

Q: a cylindrical tank is filled with 31.4 m3 of water at t = 0. The radius of the tank is 1 m and its…

A: Given that, the volume of the cylindrical tank is 31.4 m3 Radius of the tank =1 m Height = 10 m

Q: = 5. Find the x-coordinate of the center of mass of the thin flat plate of constant density 8…

A: We need to find the coordinate of the center of mass of the thin plate of constant density  located…

Q: 13. A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2 m…

A:

Q: A rectangular box has sides of length x cm, y cm and z cm. Sides x and z are expanding at rates of 3…

A: This is a problem of the application of derivative.

Q: Water is leaking out of an inverted conical tank at a rate of 0.0137 m3/min. At the same time water…

A: Given,  Water is leaking out of an inverted conical tank at a rate of 0.0137 m^3/min. The tank has…

Q: A high-walled arena has a radius of 20 meters. Point O being the center, point A is along the…

A: Given that radius = 20 m. So, OA = OC = 20 m. Given OB = 10 m. So, BC=202+102=500=105 m.   Let, D =…

Q: 2)The radius of a sphere decreases at the rate of 1 m/sec. Find the rate at which the volume…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.