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Use the method of Lagrange multipliers to find the rectangle of largest area, with sides parallel to the axes, that can be inscribed in the ellipse (x / a)2 + ( y / b)2 = I. What is that maximum area?
a heat-engine of 32 thermal efficiency is used to drive a refrigerator having coefficient of performance of 5.
the work on a system with a mass 100 lbm is known to be 10 btus. if there is no change in potential energy and the
Consider a two dimensional flow X-Y plane (no motion in Z direction). The Velocity field is going by : Y/(X^2+Y^2) and V= -x/(X^2+Y^2). Determine the equation of streamline passing through point X=0 and Y=5. Calculate the fluid acceleration
A tire of a car having a volume of 0.6 m^3 contains air at 280 kPa. Determine the mass of air in kg contained in the tire at 25 degrees Celsius.
surface geostrophic velocity 0.5 ms density 1026kgm3 gravity 9.8ms ring radius 50km. you take velocity measurment
a line containing nitrogen at 540or and 75 psi is connected to a turbine that exhausts to an initially empty closed
A steel plane of finite dimension and thickness of 13 mm has the initial (uniform) temperature of 35 C. put the plane into the solution in all sudden and the wall temperature is increased to 146 C spontaneously. The thermo diffusivity of the plane, i..
Assume that the charge cooler incoming cooling water is at 45 oC and its effectiveness is 80% and the air pressure loss in charge cooler is 10 kN/m2, calculate the air temperature and density at the outlet of the charge cooler. Estimate the % increas..
a hemisphere shell with mass m and radius r rests on a horizontal table. at the top of the shell there is a hole. the
the overall strategy in fitting a curve function yfx to a set of data points is to minimize the discrepancy between the
a hydraulic lift system utilizes two 3 in. diameter cylinders. workers must determine how much the system is capable of
apply the first law of thermodynamica eq 1 to a finite volume element in a stationary solid. let rt be the temperature
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