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Laplace equation
- What is the Laplacian of a function? Write the Laplacian of the scalar function φ in Cartesian and polar coordinates.
- Rewrite the definition of the Laplacian of a scalar function as a function of vector operators (e.g. grad, div, curl).
A bus line 4 miles long runs through an area with 1/6 acre lots,3.5 people per household, average 1 car per household. People will walk up to 1/6 mile to a bus stop, so stops are located 1/3 mileapart along the route.
Building Information Modelling for infrastructure delivery in the kingdom of Saudi Arabia.
Determine the minimum length of a sag vertical curve if the grades are ?4% and +2%. Design speed is 70 mph. State assumptions used, consider the following criteria:
A lake with constant volume 10x10^6 m^3 is fed by pollation free stream with flow rate 50m^3/s. fator dumps 5m^3/s of nonconservative waste with concentration
A rectangular sedimentation basin will have a flow of 1.0 mgd using a 2:1 legth/width ratio, and overflow rate of 0.00077 fps, and a detention time of 3.0 hr. What will the dimensions of the basin be
determine the minimum length of a 5/16 inch, side fillet weld that will be necessary if the plate is subjected to an axial stress of 20 ksi . use an allowable shearing stress through the throat of the weld of 21 ksi.
If the 50 kg crate starts from rest and travels a distance of 6m up the plane in 4s, determine the magnitude of force P acting on the crate. The coefficient of Kinetic friction between the crate and the ground is 0.25
What is the TCE concentration in ppm if the tank is held at (a) 4 degrees C and (b) 35 degrees C (c) What is the TCE concentration in ppm if the tank is filled with hexane instead of water Consider the temperature dependence of the density of wat..
Assume the stream is 3ft wide and 1ft deep (assume a rectangular cross section. If the flow throught the stream is 1000 gallons/day and the concentration at the beginning of the stream is 250 ppm
What is the expected boiling-point elevation of water for a solution that contains 271 g of sodium chloride dissolved in 1.0 kg of water?
Problem 2: A cantilever wall is shown below. The backfill properties are as shown. Assuming that ?/3 for a soil-wall interfaces and neglecting the passive pressure around the toe of the wall, determine the following:
A 10-mm diameter bar of 1040 carbon steel is subjected to a tensile load of 50,000 N, taking it beyond its yield point. Calculate the elastic recovery (or strain) that would occur upon removal of the tensile load.
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