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Make a version of the K-means algorithm that models the data as a mixture of K arbitrary Gaussians, i.e., Gaussians that are not constrained to be axis-aligned.
A 2.0-kg ball attached to a string whose length is 1.5m movescounterclockwise (as viewed from above) in a horizontalcircle. The string makes an angle θ= 30o withthe vertical.
A 7cm pipe gradually narrows to 3cm. When freshwater density 1000kg/m3 flows through the pipe constriction the pressure drops from 32kN/m2 to 20 kN/m2. What is the volumetric flowrate in m3/s?
Assume the mostly infrared radiation from a heat lamp acts like a continuous wave with wavelength 1.50 µm. If the lamp's 220 W output is focused on a person's shoulder, over a circular area 27.0 cm in diameter, what is the intensity
A particle of charge +13 µC and mass 2.50 10-5 kg is released from rest in a region where there is a constant electric field of +270 N/C. What is the displacement of the particle after a time of 1.30 10-2 s
a cargo plane is moving with a horizontal velocity of v=+220 m/s at a height of y=970m above level ground, how much time will it take the package to reach the ground
Laser light of wavelength 633 nm is incident upon two narrow slits separated by 0.15 mm. how far apart are the interference fringes
The position of a particle is given by the expression x =(4.00 m) cos(6.00πt + 1/4π), where x is in metersand t is in seconds. Determine the frequency and period of the motion
Show that any rotation can be represented by successive reflection in tow plane both passing during the axis of rotation with the planar angle φ/2 among them
Calculate the first three energy levels for an electron in a quantum well of width 12.5 nm with infinite walls. The equilibrium electron and hole concentrations and the location of the Fermi level for silicon at 27 °C.
Calculate the magnitude of the electric field at the ground a distance of 5.0m from the wire.
Estimate the force on a 145-gram baseball if it hits the bat at 50 miles per hour and stays in contact with the bat for 0.1 second
A disk among vertebrae in the spine is subjected to a shearing force of 630 N. Discover its shear deformation taking it to have the shear modulus of 1*109 N/m2. The disk is equivalent to a solid cylinder 0.700 cm high and 3.70 cm in diameter.
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