Applications of differential equations 1. A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the population triples, at what time should thepopulation become 100 times what it was at noon?2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F. After 1 minute the thermometer reads 55° F, and after 5minutes it reads 30° F, what is the initial temperature of the inside room? 3. A small metal bar, whose initial temperature was 20° C, is dropped into a large container of bowling water. How long will it take the bar to reach 90°C ifit is known that its temperature increase to 22°C in 1 second?4. A tank initially holds 80 gal of a brine solution containing 1/8 Ib of salt per gallon. At t = 0, another brine solution containing 1 lb of salt per gallon ispoured into the tank at the rate of 4 gal/min, while the well-stirred mixture leaves the tank at the rate of 8 gal/min. Find the amount of salt in the tankwhen the tank contains exactly 40 gal of solution

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1. A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the population triples, at what time should the population become 100 times what it was at noon? 2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F. After 1 minute the thermometer reads 55° F, and after 5 minutes it reads 30° F, what is the initial temperature of the inside room?

1. A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the population triples, at what time should the population become 100 times what it was at noon? 2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F. After 1 minute the thermometer reads 55° F, and after 5 minutes it reads 30° F, what is the initial temperature of the inside room?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...

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