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1. Use Maple to solve Problem 18, and create an animation of the solution.
Problem 18
The wind is blowing over some suspension cables on a bridge, causing a force that is approximated by the function 0.02 sin 21πt. Is resonance possible if the force in the cable is 40 000 N, the cable has a mass of 10 kg/m, and it is 15 m long?
2. Use Maple to solve Problem 19, and create an animation of the solution.
Problem 19
A circular shaft π m long is fixed at both ends. The middle of the shaft is twisted through an angle α, the remainder of the shaft through an angle proportional to the distance from the nearest end, and then the shaft is released from rest. Determine the subsequent motion expressed as θ(x,t). Problem 4 of Section 8.2 gives the appropriate wave equation.
Consider a simultaneous move quantity-setting game with two firms facing a demand curve p = 100 - q. Both firms have marginal cost of 20. Suppose one firm maximizes profit and the other maximizes revenue, but both take into account the other firm'..
You want to start a company, and are trying to decide between two different industries. You are doing your final research before you write your business plan. Industry A has 20 firms and a Concentration Ratio (CR) of 30%
If the cross-price elasticity of aluminum with respect to steel is 2.0:a) what happen to the quantity demanded of aluminum if the price of steel increases b) Are aluminum and steel substitutes or complements
Cranberry production in Massachusetts totaled 2.37 million barrels in 2008, a 56 percent increase from the 1.52 million barrels produced in 2007. Demand increased by even more than supply, pushing 2008 prices to $56.70 per barrel from $49.80 in 20..
One of the variables used in the model was political status of a country (communist, democratic, or dictatorship).
You have been hired to predict the effects of increasing the price of itunes songs by 10% from .99 cents to $1.09. You are interested in the effects of the price hike on the number of songs downloaded legally from itunes the number of songs downlo..
post an essay on either the Provide Reparations or the Deny Reparations forums, presenting arguments and facts that support your conclusion.
The remaining 80 percent are more likely to evade when the proportion evading increases. Prove that there will be at least one equilibrium level of tax evasion. Show how multiple equilibria can occur. Which equilibria are stable?
Plot the level of the index of consumer sentiment against the growth rate of disposable income per person. Is the relationship positive?
What are the financial management issues that human service organizations face? Is it important for all of a human service organization's staff, not just the financial experts, to understand financial management? Why?
The firm wants to hire the optimal number of security guards. The following table shows how the number of security guards affects the number of radios stolen per week. Number of Number of radios Security Guards stolen per week 0 50 1 30 2 20 3..
Perron suggested that output might best be characterized as trend stationary with breaks. How does this help resolve the question of the importance of shocks to aggregate demand?
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