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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.
Risk Averse: - A person who prefers certain given income to risky income with same expected value. - A person is careful risk averse if they have a diminishing marginal ut
Ask quesIn your own words describe how a market would adjust in situations of: a) Excess Demand b) Excess Supply c) Equilibrium As a follow up you might think about what effects
Can marginal cost be constant? If so, does this mean that marginal cost are equal to average variable cost?
For each of the following scenarios, you use a SS & DD diagram to demonstrate the effect of a given shock on equilibrium price and quantity in specified competitive market. Explain
Ask question #what is an indifference curveMinimum 100 words accepted#
Question 1: ? deduce the causal factors behind technological developments in different cultures and during different periods of human history ? assess the basis of common cr
who proposed the law of chemical combinations?
In fall 2006, Pace University raised its annual tuition from $24,750 to $29,750. Freshman enrollment declined from 1500 in fall 2005 to 1110 in 2006. assuming the demand curve did
If we have two products, A and B, which are substitutes, we can expect that a rise in the price of A (or B) will cause the demand for B (or A) to go up.” Examine this statement wit
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