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1. The period T of a simple pendulum is given by T = 2π √L/g, where L is the length of the pendulum and g is the acceleration due to gravity. Assume g = 9.80 m/s2 exactly, and L is measured to be 0.742 m with a standard deviation of 0.005 m. Estimate T , and find the standard deviation of the estimate.
2. The pressure P, temperature T , and volume V of one mole of an ideal gas are related by the equa- tion T = 0.1203 PV , when P is measured in kilopascals, T is measured in kelvins, and V is measured in liters.
a. Assume that P is measured to be 242.52 kPa with a standard deviation of 0.03 kPa and V is measured to be 10.103 L with a standard deviation of 0.002 L. Estimate T , and find the standard deviation of the estimate.
b. Which would provide a greater reduction in the standard deviation of T : reducing the standard deviation of P to 0.01 kPa or reducing the standard deviation of V to 0.001 L?
Examine who the winner and loser would be - either the borrower or the lender in the given scenario. Provide support for your response.
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Global climate change models frequently suggest that some areas will experience changes in the levels of expected rainfall. Assume that for this Alabama farm, these cli- mate models estimate that less rainfall will occur such that the water demand..
The problem is belongs to Economics and it is explain how two economies starting with same production function and same initial levels can experience different economic outcomes thirty years later.
In view of persistent government debt and deficit problems some of economists propose cyclically-adjusted balanced budget rule for government. Compare this proposal to a strict balanced budget rule. Which is preferable? What problems do you see with ..
Consider the following model of income determination: Y = C + I + G0 , C = C0 + bY D , I = I0 + iY T = tY - Solve the model for the equilibrium income. What is the model multiplier.
it's dominated by two firms, AMD and Intel. Yet price competition between those two firms is fierce, driving their profits down. Why is there greater price competition between rival computer chips than between rival computer operating systems
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