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Following the oil price shocks of the 1970s, Keynesians concede that supply shocks can cause recessions, but it is not the main source of recessions. Discuss.


Find the distinct interval of length 1 containing a root or solutin of f(x) = x³ - 3x + 5 using IVT

suppose that GDP is 40 billion below its potential level. It is expected that next period GDP will be 20 billion below potential and that two periods from now it will be back at its potential level. You are told that the multiplier for government spending is 2 and that the effects of the increased government spending are immediate. What policy actions can be taken to put GDP back on target each period?


2. The capacitors have values C₁ = 2.0 μF and C₂ = 4.0 μF, C₂ = 5.0 μF C4 = 7.0 μF and the potential difference across the battery is 9.0 V. Assume that the capacitors are connected in series.

a) Find the equivalent capacitance of the circuit.

b) Solve for the potential difference across each capacitors.


3. Given the same problem in #2. Assume that the capacitors are connected in parallel.

a) Find the equivalent capacitance of the circuit.

b) Solve for the charge across each capacitors.


The capacitors have values C₁ = 2.0 μF and C₂ = 4.0 μF, C₂ = 5.0 μF C4 = 7.0 μF and the potential difference across the battery is 9.0 V. Assume that the capacitors are connected in series.

a) Find the equivalent capacitance of the circuit.

b) Solve for the potential difference across each capacitors.


You are thinking about setting up a lemonade



stand. The stand itself costs $200. The ingredients



for each cup of lemonade cost $0.50.



a. What is your fixed cost of doing business?



What is your variable cost per cup?



b. Construct a table showing your total cost,



average total cost, and marginal cost for output



levels varying from 0 to 10 gallons. (Hint:



There are 16 cups in a gallon.) Draw the three



cost curves.

5. Two shafts 30 in. apart, each carrying a four-step pulley, are to be connected by a cross belt. The driving shaft is to turn 180 rpm while the driven shaft is to turn 50, 150, 250, and 600 rpm. The smallest step of the driver is 10 in. in diameter. Find (a) the diameters of all the steps, (b) angle of contact for each pair of pulleys, and (c) belt length.


4. A pulley 600 mm. in diameter transmits 40 kW at 500 rpm. The arc of contact between the belt and pulley is 144° having a center distance of 1100 mm. Determine: (a) diameter of the driven pulley for open belt drive, (b) speed of the driven pulley, and (c) belt length for open belt connection.


3. Two pulley 12 in diameter and 20 in diameter is connected by a crossed belt with center distance of 45 in. Find the belt length needed to connect them.


2. Two pulleys 10 in. diameter and 25 in. diameter is connected by an open belt with center distance of 40 in. Find the belt length needed to connect them.


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