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Consider a function z(x, y) and its partial derivative (∂z/∂y)x. Under what conditions is this partial derivative equal to the total derivative dz/dy?
Moisture in the hot drying air condensing on the cooler grain near the plenum of the bin (Hint: The vapor in the ambient will condense out if the temperature of a surface is lower than the incoming air dew-point temperature).
A 1200 ft. equal tangent crest vertical curve is currently designed for 50 mi/hr. A civil engineering student contends that 60 mph is safe in a van because of the higher driver’s eye height. If all other design inputs are standard, what must the driv..
For simplicity assume the catapult consists of the piston-cylinder geometry (with the piston as the projectile) and that it is positioned horizontally. The steam initially occupies a volume of 1 liter at a pressure of 200 kpa.
It has been determined that the steady-state diffusion flux of a gas molecule through a solid metal plate is 5*10^-8 kg/m^2*s at a temperature of 1000K, and a concentration gradient of -300 kg/m^4.
Two identical spheres of radius 8 in . and weighing 2 lb on the surface of the earth are placed in contact. find the gravitational attraction between them .
A 1:2000 scale tidal model is operated to satisfy Froude's law. A velocity of 0.02 ft/s is observed in the model. What is the velocity at the corresponding point in the prototype
a beam having an overall length of 24 has a 4 overhang at one end. the left support is a pin connection and the right
Water enters the lock of a ship canal through 180 ports, each port having a 2 ft by 2 ft cross section. The lock is 900 ft long and 105 ft wide. The lock is designed so that the water surface in it will rise at a maximum rate of 6 ft/min.
Car A is traveling at a constant speed va= 130 km/h at a location where the speed limit is 100 km/h. The police officer in car P observes this speed via radar. At the moment when A passes P, the police car begines to accelerate at the constant rate o..
An aggregate blend is composed of 53% coarse aggregate by weight (sp. gr. 2.702), 43% fine aggregate (sp. gr. 2.621), and 4% filler (sp. gr. 2.779)/ The compacted specimen contains 6% asphalt binder (sp. gr. 1.052) by weight of total mix, and has a b..
A factory discharges its waste into a river upstream from a lake. The discharge release rate is 2 kg formaldehyde per day. The decay is a first order process with a decay rate of 0.000005/s. The waste is discharge into the river 30 km upstream from t..
A new sponge iron factory has an annual capacity of 100,000 tons/year of Iron production. Benzopyrene is produced during this process at a rate of 0.00006% of Iron produced.
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