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1. Consider the mass-spring systems with spring constant 1 and damping constant b. For which values of b is this system underdamped, overdamped, undamped, or critically damped?
2. We know the general solution of the undamped harmonic oscillator given by y" + y = 0. What happens if we apply a constant force equal to 1 to this system? That is, what is the general solution of the equation y" + y = 1? And what is the motion of the corresponding mass-spring?
suppose that the reserve requirement is 10 and the balance sheet of the peoples national bank looks like the
mr. larsson is an accountant who prepares final accounts for his clients. work arrives at his office randomly at a rate
How did the Fed use the main tools of monetary policy to respond to the financial crisis that began in 2007? What additional programs did the Fed create and implement to facilitate its role as lender of the last resort? What was the primary purpose o..
The problem related to Economics deals with the key features of Travel Cost Method for valuing benefits. Travel Cost Method is mainly used to assess the benefit value associated with the ecosystem or any site for recreation.
Gamma Corporation, one of the firms that retains you as a financial analyst, is considering buying out Beta Corporation, a small manufacturing firm that is now barely operating at a profit.
why does a consumers price elasticity of demand for a good depend on the fraction of the consumers income spent on the
For the unlimited population model with y > 1, check that solutions assume the form discussed in the lecture. Find the general solution of the ODE y' = y2.
What is the market value of a 30-day $10,000,000 commercial paper if the yield of 30-day Treasury bill is 2.5 %?
Could a private developer profitably build and operate the garage? Which of the two rates would it set? (Assume it faces the same demand, costs, and discount rate as the city.)
An injection melding machine has a first cost of $1,050,000 and a salvage value of $225,000 whenever the machine is sold. The yearly maintenance and operating costs are $235,000 with a gradient of $75,000. The MARR is 10%. What is the economic life? ..
Southern states in the United States are, on average, poorer than northern states. Southern states also have higher growth rates in real GDP per capita, on average, than northern states. Use these facts to draw a conclusion about whether the theory o..
What is the optimal level of production of wine decanters and what is the marginal revenue from the last wine decanter sold and what are the total revenue, total cost, and net benefit (profit) from selling the optimal number of wine decanters?
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