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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.
What are the different pricing practices?
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if the inverse demand curve is p=120-Qand the marginal cost is constant at 10, how does charging the monopoly a specific tax of 10 per unit affect the monopoly optimum and the welf
RECENT DEVELOPMENT IN DEMAND ANALYSIS: For many years economic theorists analysed the optimal behaviour of consumers while econometricians estimated consumer demand and expend
When Alex's income increased from $3,000 to $5,000, he increased his consumption of bagels from 4 to 8 a month and decreased his consumption of donuts from 12 to 6 a month. Calcula
My current car gets 10 miles to the gallon and no resale value, but it will last 5 years for sure. I can always buy a new car for 8000 dollars that gets 20 miles to the gallon. A g
Problem 1: How can a manager of a supermarket maximise total revenue using various concepts of elasticity of demand? Use examples to illustrate. Problem 2: What are the
Second degree price discrimination (two part-tariff) An electric utility in Ontario has the following cost structure: TC = 500 + 20Q Suppose that the market (inverse o
Describe what the price elasticity of demand is and why it is of interest in examining markets. Might it be beneficial in the airline industry? Why?
Area of Dominant Influence (ADI) The ADI is a geographic area made up of all over the world that receive signals from radio and television stations in a individual market.
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