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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.
given the cost function as C=0.3Q3-2Q2+13Q+25,find the supply function
Maurice has the following utility function: U (X; Y ) = 20X + 80Y ?? X2 ?? 2Y 2 where X is his consumption of CDs, with a price of $1, and Y is his consumption of movie videos, wit
short run equilibbrium
What is a natural monopoly Define natural monopoly as a situation where the advantages of scale a fixed costs are so high that it is impossible to fully exploit them. MC and AC
Amartya Sen''s concept of poverty and welfare.
Economies of scale are advantages obtained from a company becoming large and diseconomies of scale are additional costs inflicted because a firm has become very large. The causes
International Comparisons Method In the 1960s, a few developing countries of the world looked around the developed world in search of models of development. For instance, Sout
diagrammatically condition of consumer equilibirium
is south africa''s economic system now more allocative efficient
What is International Trade Economics, Explain study area of international trade economics.
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