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True or false: Suppose a finite dimensional function uh(x) is expanded in terms of basis functions NA(x) , where A,...,n. Now suppose that uh(x) is a numerical solution of some partial differential equation. Then, uh(x) can, under certain conditions, coincide with the exact solution of the partial differential equation.
a 0.223 kg ball is thrown straight up from 1.81 m above the ground. its initial vertical speed is 8.40 ms. a short time
The actual diameter of an atom is about a tenth of a nanometer (10-10 m). In order to develop some intuition for the molecular scale of a gas, Calculate the number of molecules in the sample of gas
A monatomic ideal gas expands from 1.00 m^3 to 2.5 m^3 at a constant pressure of 2.5 x 10^5 Pa. find the change in internal energy of the gas
A beam of light is incident in air with an incident angle 56 degrees. calculate the index of refraction of this unknown liquid
the area of a typical eardrum is about 5.00 x 10-5 m2. a calculate the average sound power incident on an eardrum at
A bottle has a mass of 36.00g when empty and95.94g when filled with water. When filled with another fluid, the mass is 89.22g . What is the specific gravity of this other fluid
1 from the top of a 40.0m high cliff two rocks are simultaneously thrown. one is thrown upwards at 20.0ms the other is
A vertical straight wire carrying an upward 24A current exertsan attractive force per unit length of 8.8e-4 N/m on a secondparallel wire 7cm away. What current (magnitude anddirection) flows in the second wire
The nucleus of a promethium-145 atomcontains 61 protons. Assume that thenucleus is a sphere with radius 5.69fm and with the charge of the protons uniformly spread through thesphere. At the nucleus surface, what are the magnitude and direction of the ..
A long wire lying along the x-axis carries a current of 2.8 A in the +x direction. There is a uniform magnetic field present, given by B=0.003i + 0.004j + 0.002k, where i, j, k are the unit vectors along the cartesian coordinate axes') in units of..
A satellite orbits at a distance from the Earth's center of about 7.20 Earth radii, What distance (in meters) does the satellite travel in one day
When light of wavelength 380 nm falls on a cesium surface, electrons having a maximum kinetic energy of 1.13 eV are emitted. find the frequency corresponding to the cutoff wavelength
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