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The conical float is free to slide on a vertical rod. When the float is disturbed from its equilibrium position, it undergoes oscillating motion described by the differential equation
where a = 16 m-3 (determined by the density and dimensions of the float) and g = 9.80665 m/s2. If the float is raised to the position y = 0.1 m and released, determine the period and the amplitude of the oscillations.
Do you think these phenomena are related? Could higher wages and better job opportunities lead to a more capital-intensive way of performing household chores? Explain.
A competitive firm uses a single input x to produce its output y. The firm's production function is given by y = x3/2 for quantities of x between 0 and 4. For quantities of a greater than 4, the firm's output is y = 4 + x.
Consider four independent rolls of a 6-sided die. Let X be the number of 1s and let Y be the number of 2s obtained. What is the joint PMF of X and Y?
Plastic bags have been blamed fo street litter, ocean pollution, and cabon emissons produced by manufacturing and shipping them. Last summer, Seattle approved a 20- cents charge on plastic shopping bags, wich was intented to reduce pollution.
How does a minimum wage imposed under monopsony differ in results as compared with a minimum wage imposed under perfect competition? (Assume the minimum wage is above the market-determined wage.)
Demonstrate in BOTH diagrams (graphically and/or geometrically) the Total Coast, Total Variable Cost, Total Revenue , Total Fixed Cost and Total Profit, at the point where quantity produced is at the optima level (Profit-maximizing level).
Stephen Zehnder, an enterprising engineer, wants to get into business. He is looking at the following two alternatives. He has compiled the cost data for both alternatives as shown in table below. If Stephen wants to have at least a rate of return..
Characterize the steady-state equilibrium, and derive a difference equation that explicitly characterizes the behavior of capital stock away from the steady state.
Suppose that the reserve requirement is 3 percent on the first $30 million of checkable deposits and 10 percent on checkable deposits in excess of $30 million. (Amounts on the balance sheet are in millions of dollars.) Assets Reserves $15.90 Loans..
the weights of a population of parts made by a certain machine are normally distributed with a mean of ten pounds and a
Rate of change of cost. The fast-food restaurant in Problem 63 can produce an order of fries for $0.80. If the restaurant s daily sales are increasing at the rate of 45 orders of fries per day, how fast is its daily cost for fries increasing?
Advertisers are willing to pay $10 to advertise in one newspaper but only $19 to advertise in both, because they're willling to pay twice to reach the same subscriber. what's the likely bargaining negotiation outcome
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