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Assess the given unit conversions for parts (a) through (e) in the table shown below. Show your work by using a step-wise approach (ex: show the conversions of the numerator and denominator individually).
The preceding exercise (parts b and c) involved a utility function based on regret. If one married the tenth most desirable candidate, the utility function asserts that one would feel regret for having not chosen the mos ...
If the top row of Pascal's triangle (which contains the single number ‘1') is denoted row zero, what is the sum of all the numbers in the triangle above row N?
The planet Saturn has a satellite, Calypso, which travels in an orbit of radius 2.950×108 m with a period of 1.89 days. Calculate the mass of Saturn from this information.
Length of flame of a light is 3 cm. It is 3m away from a wall . From what distance from the wall we can place a concave mirror so that it gets 3 times magnified? And what is the focal length of the mirror?
What is the error in the Boltzmann approximation if the crystal size is not infinite but contains 10 2 , 10 3 , 10 4 , 10 5 , 10 6 , 10 9 atoms? This is a very real situation in submicron transistors In which an active ...
What is the capacity of the axon of a spiking neuron, viewed as a communication channel, in bits per second? [See MacKay and McCulloch (1952) for an early publication on this topic.] Multiply by the number of axons in th ...
A particular airplane will reach liftoff at a speed of 120 km/h. (a) What minimum constant acceleration does the airplane require for it to liftoff after a takeoff run of 280 m? (Enter the magnitude only.) (b) How long d ...
1. Show that this modified Lempel-Ziv code is still not ‘complete', that is, there are binary strings that are not encodings of any string. 2. Give examples of simple sources that have low entropy but would not be compre ...
An elite Tour de France cycler can maintain an output power of 450 W during a sustained climb. At this output power, how long would it take an 85 kg cycler (including the mass of the bike) to climb the 1100 meter high Al ...
The air in a factory is being filtered so that the quantity of a pollutant, P (in mg/liter), is decreasing according to the function P = P0e-kt, where t is time in hours. If 10% of the pollution is removed in the first f ...
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