Derive the laplace transform
Given that Laplace Transform of xe^-kx is F(s) = 1/(s+k)^2, derive the Laplace transform of x^2e^3x without using the intergral definition.
The book answer is F(s) = 2/(s-3)^3
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Determine the wavelength of X-rays falling at glancing angle of 30 degreee on a crystal with atomic spacing 2x10^-10 m for the first order diffraction? Solve please.
Solve the differential equations by using separation of varables
Assume that the large mixing tank intially holds 300 gallons of water in which 50 pounds of salt has been dissolved. pure water is pumped into the tank at a rate of 3gal/min, and when the solution is stirred,
Let S be the set of all people in the world. For a,b elements of S define a binary relation R as follows: (a, b) elements of R if and only if a and b have vistied the same webpage. Is this an example of a partially ordered set? Why or why not?
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A large tank with capacity of 100 gallons haves 50 gallons of pure water. A salt solution with oncentration of 0.1 lb/gal flows in the tank at a rate of 4 gal/min. The mixture is kept well stirred and flows out of the tank at rate of 2 gal/min. C
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