Exam 5: Exponential and Logarithmic Functions
Exam 1: Preliminaries209 Questions
Exam 2: Functions, Limits and the Derivative271 Questions
Exam 3: Differentiation331 Questions
Exam 4: Applications of the Derivative183 Questions
Exam 5: Exponential and Logarithmic Functions278 Questions
Exam 6: Integration313 Questions
Exam 7: Additional Topics in Integration250 Questions
Exam 8: Calculus of Several Variables205 Questions
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According to data obtained from the CBO, the total federal debt (in trillions of dollars) from 2001 through 2006 is given by
where t is measured in years, with
corresponding to 2001.What was the total federal debt in 2004? Round answer to three decimal places.



(Multiple Choice)
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Julio purchased 1,100 shares of a certain stock for $26,750 (including commissions).He sold the shares 5 year(s) later and received $32,500 after deducting commissions.Find the effective annual rate of return on his investment over the 5-year period.Round your answer to the nearest hundredth.
__________%
(Short Answer)
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Find the accumulated amount A if the principal P is invested at an interest rate of r per year for t years.Round your answer to the nearest cent.
P = $2,600, r = 6%, t = 10, compounded semiannually
$__________
(Short Answer)
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Find the effective rate corresponding to the given nominal rate.Round your answers to three decimal places. 8% / year compounded monthly
_____%
8% / year compounded daily
_____%


(Multiple Choice)
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A study on worldwide oil use was prepared for a major oil company.The study predicted that the amount of oil used to fuel productivity in a certain country is given by
where f (t) denotes the number of barrels per $1,000 of economic output and t is measured in decades (
corresponds to 1965).Compute
and
. Round the answer to the nearest hundredth.




(Multiple Choice)
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On the Richter scale, the magnitude R of an earthquake is given by the formula
where I is the intensity of the earthquake being measured and
is the standard reference intensity.Suppose an earthquake is measured with a magnitude of 6 on the Richter scale with an error of at most 2%.Use differentials to find the error in the intensity of the earthquake.Round your answer to the nearest integer.


(Multiple Choice)
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On the Richter scale, the magnitude
of an earthquake is given by the formula
where
is the intensity of the earthquake being measured and
is the standard reference intensity. Express the intensity
of an earthquake of magnitude
in terms of the standard intensity
.
Express the intensity
of an earthquake of magnitude
in terms of the standard intensity
.
How many times greater is the intensity of an earthquake of magnitude 7 than one of magnitude 5?
In modern times the greatest loss of life attributable to an earthquake occurred in eastern China in 1976.Known as the Tangshan earthquake, it registered 8.2 on the Richter scale.How does the intensity of this earthquake compare with the intensity of an earthquake of magnitude
? Round your answer to the nearest integer.











(Multiple Choice)
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The Ehrenberg equation
gives the relationship between the height (in meters) and the average weight W (in kilograms) for children between 5 and 13 years of age.
Round your answer to the nearest tenth.
What is the average weight of a 10-year-old child who stands at 1.62 m tall?
kg
Use differentials to estimate the change in the average weight of a 10-year-old child whose height increases from 1.62 m to 1.67 m.
kg



(Essay)
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