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Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavefunction with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ1 = 6fs. How many cycles are contained within the pulse width? If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.
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The cross elasticity of demand calculates the responsiveness of the quantity demanded of one product to alters in the price of another product. For example, the quantity demanded
Arc Elasticity of Demand - Arc elasticity calculates elasticity over the range of prices - The formula of it is: * Arc Elasticity of Demand: An Example
Suppose that you can produce high-quality beef at $3 per pound and sell it for $8 per pound. Low-quality beef costs $1 to produce but only sells for $4 per pound. If quality is uno
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Is the natural rate of unemployment includes frictional, structural & seasonal unemployment? The natural rate of unemployment contains frictional, structural & seasonal unempl
How might one measure differences in living standards between less developed and developed countries? This is a very wide question where any clear and relevant calculate shoul
b) Sally’s firm produces granola bars with a fixed cost of 10 (this cost is already sunk). Her variable cost function is VC = q2 + 2q. Assuming the market for granola bars is comp
A consumer purchases food (X) and clothing (Y). Her utility function is given by: , income is $100 and the price of food is $1 and the price of clothing is Py. a. Derive the equ
The Free Enterprise: Price System The free market system is where the decision about what is produced is the outcome of millions of separate individual decisions made by cons
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