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We color each vertex of the plane red or blue. Let n ≥ 3 be an integer. Prove that there exist n points so that all these points and their centroid have the same color. Try to find a proof that only considers 2n + 1 points. (Recall that the centroid of a set of n points in a (vector) space, viewed as the vectors v1, V2, ..... , vn is the point given by the vector (vx + v2 +..............+ vn)/n.)
The humidity of air can be determined by use of two different thermometers; a 'dry bulb' thermometer and a 'wet bulb' thermometer. explain how these thermometers can be used to estimate the amount of water vapour in the air.
Air undergoes a polytrophic process in a piston cylinder assembly from p1=1 atm, T1=70 degrees F to p2=5 atm. Employing the ideal gas model with constant specific heats at 80 degrees F, determine the work and heat transfer per unit mass,
A microelectronic switching circuit (or switching transistor) is actuated by the corresponding pulse. Since Hall-effect sensors have several disadvantages, such as hysteresis (and associated nonsymmetry of the sensor signal), low operating tempera..
Calculate the change in velocity required in changing the position of a satellite in an orbit by 90 degrees. The initial and final orbit is circular around the Earth with a 15000 km radius. Calculate the delta velocity, semi-major axis and period for..
an ideal gas undergoes a thermodynamic cycle consisting of three processesprocess 1-2 isothermal compression from p1
a rigid well-insulated tank with a volume of 3 fe contains air at p1 22 lbfin2 and t1 475 bullr. the air is stirred by
a metal has a cubic structure with a density of 1.892 gcm3 an atomic weight of 132.91 gmol and a lattice parameter of
an eng must design a large natural gas storage tank to be expandable to maintain the pressure constant at 2.2 atm. in
Question: (a) Polystyrene has a yield stress of 30 MPa. The material is subjected to a 20 MPa tensile load. Will the material behave elastically? (b) Explain what exactly is occurring during polymer creep.
Determine the final pressure and the heat transfer, in kJ/kg, associated with the process.
find omega3 va vb and vc of the mechanism below using the instant center graphical method. develop the linear graph and
write a user-defined function that calculates grade point average gpa on a scale of 0 to 4 where a4 b3 c2 d1 e0 and.
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