2114 Words9 Pages

MAC 2233 Spring 08 Ref: 438291 Review for Exam 3
Mr. Guillen
Exam 3 will be on 04/22/08 and cover the following sections: 2.6, 2.7, 3.1, 3.2, 3.3, 3.4, 3.5. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the linearization of the function to approximate the value of the function. Give your answer in the form indicated. 1) 1.77 1) Give your answer as a decimal. Round to 4 decimal places if necessary. Use the differential to approximate the quantity to four decimal places. 2) 66 3) 4) 5) 31 3.91 16.61
2) 3) 4) 5)
Use the linear approximation (1 + x)k ‘ 1 + kx, as specified. 6) Estimate (1.0003)50.
6)
Use the linearization of the function to approximate the value of the function.*…show more content…*

If it has 64 % of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) 63) A bacterial culture has an initial population of 10,000. If its population declines to4000 in 8 hours, what will it be at the end of 10 hours? Assume that the population decreases according to the exponential model. 64) Suppose the consumption of electricity grows at 8.9% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundreth. 65) The purchasing power of a dollar is decreasing at the rate of 8.5% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $ 0.53? Round answers to the nearest hundreth. 66) How long will it take for $5300 to grow to $37,800 at an interest rate of 9.3% if the interest is compounded continuously? Round the number of years to the nearest hundredth. 67) A certain radioactive isotope has a half-life of approximately 1400 years. How many years to the nearest year would be required for a given amount of this isotope to decay to35% of that amount? 68) An artifact is discovered at a certain site. If it has 74% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.) 69) A certain radioactive isotope decays at a rate of 0.15% annually. Determine the half-life of this isotope, to the nearest

If it has 64 % of the carbon-14 it originally contained, what is the approximate age of the artifact? (carbon-14 decays at the rate of 0.0125% annually.) 63) A bacterial culture has an initial population of 10,000. If its population declines to4000 in 8 hours, what will it be at the end of 10 hours? Assume that the population decreases according to the exponential model. 64) Suppose the consumption of electricity grows at 8.9% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundreth. 65) The purchasing power of a dollar is decreasing at the rate of 8.5% annually, compounded continuously. How long will it take for the purchasing power of $1.00 to be worth $ 0.53? Round answers to the nearest hundreth. 66) How long will it take for $5300 to grow to $37,800 at an interest rate of 9.3% if the interest is compounded continuously? Round the number of years to the nearest hundredth. 67) A certain radioactive isotope has a half-life of approximately 1400 years. How many years to the nearest year would be required for a given amount of this isotope to decay to35% of that amount? 68) An artifact is discovered at a certain site. If it has 74% of the carbon-14 it originally contained, what is the approximate age of the artifact to the nearest year? (carbon-14 decays at the rate of 0.0125% annually.) 69) A certain radioactive isotope decays at a rate of 0.15% annually. Determine the half-life of this isotope, to the nearest

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