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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.
Deadline is 20 Hours... 1. A. Explain how one derives the indifference curves from a 3-dimensional utility function. Draw a graph and explain. Which principle explains the concav
what is the type of the firms
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exams?
application of indifference curve analysis to the problem of exchange
identify which curve (demand or supply) will be affected?
What are the costs and difficulties of such an operation? The direct costs are administrative, cooperative and storage costs, whereas the societal costs include misallocation,
Long-Run Versus Short-Run Cost Curves What happens to average costs when both the inputs are variable versus only having one input that is variable (short run)? The Inflexi
Question 1: The price of the good X rises from $1.30 to $1.40. Calculate the price elasticity of demand by using the mid-point method. Question 2: How do you explain the answer
what are the uncontrolled variables you think may affect the segment of your camera
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