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1. Determine the relationship of the fundamental frequency of a vibrating string to the mass per unit length, the length of the string, and the tension in the string.
2. If, for a vibrating wire, the original displacement of the 2- m-long stationary wire is given by
(a) 0.1 sin x π/2,
(b) 0.1 sin 3πx/2, and
(c) 0.1(sin πx/2 - sin 3πx/2), find the displacement function u(x,t). Both ends are fixed, P = 50 N, and the mass per unit length is 0.01 kg/m. With what frequency does the wire oscillate? Write the eigenvalue and eigenfunction for part (a).
Total annual taxable income is $210,000; tax is: 2. Your company is in the 34% tax bracket; for an additional $32,000, your incremental tax is: 3. Your total taxable income is $64,000; you are considering an investment that will net an additional $..
the present value of the following 2 cash flows are equivalent if the interest rate is i. which one is more valuable if
What is the difference between an instrumental variable and a proxy variable (as described in Section 7.4)? When would you use one and when would you use the other?
Jeff holds $50,000 wealth which has a utility of 7.07 utils (assuming utility is the square root of wealth in thousand dollars). He considers investing this in a gamble which has a 0.6 probability of increasing his total wealth to $100,000 and 0.4..
Assume we have a profitmaximizing firm for which P=17-Q, and TC=5Q=Q^2/2, where P is theprice of output Q, and TC is the total cost of production. 1. Suppose the firm behaved likea perfect competitor in the short-run.
A composite beam is made by attaching the timber and steel portions shown with bolts of 12-mm diameter spaced longitudinally every 200 mm. The modulus of elasticity is 10 GPa for the wood and 200 GPa for the steel.
Unless otherwise stated, in the following problems assume VDD = 1:8 V, μn Cox = 100 μA/V2, μp Cox = 50 μA/V2, VTH;N = 0:4 V, VTH;P = -0:5 V, λN = 0, and λP = 0.
Assume a company has the following production function: Q = 100 K.5 L1 . Currently, the company hires 1,000 workers and employs 100 units of capital.
By engaging in the business, the students realized that they would have to give up their summer jobs. Each student made an average of $4,000 per summer. However, they believed they could keep expenses down by doing much of the research for the boo..
have the ability to meet the same requirements as companies making stock offerings using more traditional methods.
A system consists of n identical components, each of which is operational with probability P. independent of other components. The system is operational if at least K out of the n components are operational. What is the probability that the system..
Plot the MC curve on the same graph as the ATC curve, and verify that it cuts the ATC at its minimum point.
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