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Quiz 9: Population Growth and Exponential Decay, Quizzes of Calculus

Seton Hall University (SHU)Calculus

This quiz covers the concepts of population growth modeled by a differential equation, exponential growth and decay, and application to predicting world population and decay of radioactive isotopes using half-life.

Typology: Quizzes

Pre 2010

Uploaded on 08/08/2009

koofers-user-a2h 🇺🇸

10 documents

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Download Quiz 9: Population Growth and Exponential Decay and more Quizzes Calculus in PDF only on Docsity! Name: ______________________ Quiz 9 1. It seems reasonable to assume that growth of a population at time t is directly proportional to the size of the population at time t. Using P(t) to denote the population at time t, setup a differential equation reflecting this model and solve it. 2. The table below gives estimates of the world population, in millions, from 1750 to 2000: Year Population 1750 790 1800 980 1850 1260 1900 1650 1950 2560 2000 6080 Use an exponential model and the population figures for 1750 and 1800 to predict the world population in 1900. Compare with the actual figures. 3. Bismuth-210 has a half-life of 5.0 days. A sample originally has a mass of 800mg. Find a formula for the mass remaining after t days. When is the mass reduced to 1mg?

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