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Use the Box-Muller method to generate a Gaussian distribution consisting of 20,000 points of mean 0.00 and standard deviation of 2.50 between x= -10.0 and +10.0. Group the points into 200 equally-spaced data points, each with a value proportional to the number of points in the bin (20%). Perform a digital Fourier transform of these data points, and plot the data points and the real and imaginary frequency spectra (40%). Calculate the mean and standard deviation of the real frequency spectrum (20%). Perform an inverse Fourier transform of the frequency spectra, and plot the result along with the original data (20%).
A submarine dives to a depth of 333 feet in the ocean. What is the force (in pounds) acting on a hatch that has an area of 4 square feet
A simple harmonic oscillator is undergoing oscillations with an amplitude A. How far is it from its equilibrium position when the kinetic and potential energies are equal?
If you lie on the ground at night with no cover, you get cold rather quickly. Much of this is due to energy loss by radiation. Estimate the net rate at which your body loses energy by radiation to the night sky under these conditions
a rock climber stands on top of a 52 m high cliff overhanging a pool of water. he throws two stones vertically downward
A beam contains 8.4 x 108 doubly charged positiveions per cubic centimeter, all of which are moving north with aspeed of 4.2 x 105 m/s. What is the magnitude of the current density?
A projectile is launched vertically from the surface of the Moonwith an initial speed of 1500 m/s. At what altitude is the projectile's speedone-half its initial value?(in km)
A wooden dowel (cylinder) has a diameter of 2.20 cm. Determine the density of the dowel
The filament of a light bulb has a temperature of 2.90 103 °C and radiates 66 watts of power. Find the surface area of the filament
When it passes point A, its velocity is 3.5 m/s directed as shown. The distance AP is 0.6 m and BP is 1.0 m. Find out the speed of the mass at points B and C.
q1. two 53 rm g blocks are held 30 rm cm above a table. one of them is just touching a 50-long spring. the blocks are
Delivery trucks that operate by making use of energy stored in a rotating flywheel have been used in Europe. how many minutes can it operate between chargings
a steam pipe is covered with 1.50 cm thick insulating material with a thermal conductivity of 0.200
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