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Use the sum of residues to find the unknown residue in the following expansion. Then find the inverse transform of the completed expansion. Finally, validate your answer using MATLAB.
F(s) = (5000(s + 1000)) / ((s + 500)(s + 5000)) = ((5000 / 9)/(s + 500)) + (k/(s + 5000))
Consider a one-dimensional particle of mass m feeling the inverse harmonic oscillator potential V=-1/2kx^2 (k>0)
How does the density wave model of spiral arms explain that they are brighter than the areas between the arms? The Milky Way is an example of which type of galaxy?
A piece of sandston with a bulk volume of 1.3 cc is contained ina 5-cc cell filled with helium at 760 mm Hg. Temperature ismaintained constant and the cell is opened to another evacuatedcell the same volume.
On one of the shelves in your physics lab is displayed an antique telescope. A sign underneath the instrument says that the telescope has a magnification of 20, what is the focal length fe of the eyepiece
A basketball player practices shooting three pointers from a distance of 7.63 m from the hoop, At what initial speed must he shoot to make the basket
A 31-kg girl is bouncing on a trampoline. During a certain interval after she leaves the surface of the trampoline, How high does she rise during this interval
Air at a pressure of 1.02x10^5 and temperature of 15 C is drawn into a gas turbine .It is compressed to a pressure of 6.12 x 10^5 N/m.If the maximum cycle temperature is limited to 800 C, calculate the thermal efficiency and work ratio of the idea..
A charge of 2.5 Coulombs is uniformly distributed throughout a nonconduction sphere of radius 0.15 m. calculate the charge density in the sphere
From A to B, the pressure increases from 1 atmosphere to PB=3.06 atmospheres and the process is adiabatic; from B to C, it is isobaric with 335.16 kJ of energy entering the system by heat. From C to D, the process is isothermal; from D to A, it is..
Ice of mass 49.5 g at -9.9° C is added to 202 g of water at 13.9° C in a 94 g glass container of specific heat 0.200cal/g-°C at an initial temperature of 24.7° C. Discover the final temperature of the system.
A mass of 5 kilogram is resting on a frictionless ramp. It is connected to a cable that passes over a pulley of radius 2 centimeter which is then attached to a second hanging mass. Evaluate the mass of the hanging block
A dockworker loading crates on a ship finds that a 24-kg crate, initially at rest on a horizontal surface, Find the coefficients of static and kinetic friction between crate and floor
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