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If a particle moving along a curved track (like a roller coaster) flies off the track, it continues in the direction of the tangent vector at the point where it left the track, at least if there are no external forces such as gravity or friction acting on it. Suppose a particle rolling down (towards the xy-plane) the helix shaped track given by r(t)=(2 cos t, 2 sin t, t) flies off the track when t = pi/4. Determine the point where the particle will hit the xy-plane.
Monopolies can sometimes find themselves in difficult financial situations that lead to losses. Suppose Mr. Burns' power company has a monopoly for providing electricity in Springfield. His costs of upkeep are so high that he is consistently losing m..
Consider a simple economy where 90 percent of citizens report an annual income of $10,000 while the remaining 10 percent report an annual income of $110,000. What is the Gini coefficient associated with this economy
Summarize any recommendations you might make as to what should have been done differently, and why.
Table 22.4 shows the prices of fruit purchased by the typical college student from 2001 to 2004. What is the amount spent each year on the "basket" of fruit with the quantities shown in column 2?
A Man is planning to retire in 20 years. He can deposit money for his retirement at 6% compounded monthly. It is estimated that the future general inflation rate will be 5% compounded annually. What deposit must be made each month..
Do economists think that predatory pricing is commonly employed as a profitable business strategy? Why or why not?
An industry has a supply curve MC (or P) $/unit = 10Q0.9. Demand follows P $/unit = 100 - Q1.1. Total external social cost (pollution) (in $ total) = 20Q1.2. What is the competitive equilibrium.
Suppose that now research firms can sell their machines to all producers in the world, including those in the South, and can charge the same markup. Derive the steady-state equilibrium under these conditions.
ABC Corp. owns a piece of land and building a few miles from its headquarters. The land originally cost ABC $500,000 to purchase. ABC is considering using the facility for a new training program. It could also rent a building about the same distan..
the manchester athletes club mac is a private not-for-profit athletic club located in st. petersburg florida. mac
Break the loop at the gate of M2, determine the loop gain, and prove that the feedback is positive.
The marginal cost of maintaining apartments that are over 15 years old can be expressed as P = 90 + Q The marginal cost of maintaining apartments newer that can be expressed as P = 120 + 2Q where P is the amount of rent in dollars paid each month and..
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