Excursions in Modern Mathematics (9th Edition)
9th Edition
ISBN: 9780134468372
Author: Peter Tannenbaum
Publisher: PEARSON
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Chapter 9, Problem 71E
To determine
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If it is possible to stock the lake so that the alligator population is constant.
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Excursions in Modern Mathematics (9th Edition)
Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence defined by the explicit...Ch. 9 - Consider the sequence 1,4,9,16,25,.... a. List the...
Ch. 9 - Consider the sequence 1,2,6,24,120,.... a. List...Ch. 9 - Consider the sequence 0,1,3,6,10,15,21.... a. List...Ch. 9 - Prob. 14ECh. 9 - Consider the sequence 1,85,2,167,208,.... a. List...Ch. 9 - Prob. 16ECh. 9 - Airlines would like to board passengers in the...Ch. 9 - When two fair coins are tossed the probability of...Ch. 9 - Consider a population that grows linearly...Ch. 9 - Consider a population that grows linearly...Ch. 9 - Consider a population that grows linearly...Ch. 9 - Consider a population that grows linearly...Ch. 9 - Consider a population that grows linearly, with...Ch. 9 - Consider a population that grows linearly, with...Ch. 9 - Official unemployment rates for the U.S....Ch. 9 - The world population reached 6 billion people in...Ch. 9 - The Social Security Administration uses a linear...Ch. 9 - While the number of smokers for the general adult...Ch. 9 - Use the arithmetic sum formula to find the sum...Ch. 9 - Prob. 30ECh. 9 - An arithmetic sequence has first term P0=12 and...Ch. 9 - An arithmetic sequence has first term P0=1 and...Ch. 9 - Find the sum a. 1+3+5+7++149.Hint: See Example...Ch. 9 - Find the sum a. 2+4+6++98. b. 2+4+6+75terms.Ch. 9 - The city of Lightsville currently has 137...Ch. 9 - Prob. 36ECh. 9 - A population grows according to an exponential...Ch. 9 - A population grows according to an exponential...Ch. 9 - A population grows according to the recursive rule...Ch. 9 - Prob. 40ECh. 9 - Crime in Happyville is on the rise. Each year the...Ch. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Avian influenza A H5N1 is a particularly virulent...Ch. 9 - In 2010 the undergraduate enrollment at Bright...Ch. 9 - In 2009 there were 73 cases of avian influenza A...Ch. 9 - Consider the geometric sequence P0=2, P1=6, P2=18,...Ch. 9 - Consider the geometric sequence P0=4, P1=6, P2=9,...Ch. 9 - Consider the geometric sequence P0=4, P1=2, P2=1,....Ch. 9 - Consider the geometric sequence P0=10, P1=2,...Ch. 9 - Find the sum a. 1+2+22+23++215. b. 1+2+22+23++2N1...Ch. 9 - Find the sum a. 1+3+32+33++310. b. 1+3+32+33++3N1....Ch. 9 - A population grows according to the logistic...Ch. 9 - A population grows according to the logistic...Ch. 9 - For the population discussed in Exercise 53...Ch. 9 - Prob. 56ECh. 9 - Prob. 57ECh. 9 - Prob. 58ECh. 9 - Prob. 59ECh. 9 - Prob. 60ECh. 9 - A population grows according to the logistic...Ch. 9 - A population grows according to the logistic...Ch. 9 - Each of the following sequences follows a linear,...Ch. 9 - Each of the line graph shown in Figs. 9-19 through...Ch. 9 - Prob. 65ECh. 9 - Prob. 66ECh. 9 - Prob. 67ECh. 9 - Prob. 68ECh. 9 - Prob. 69ECh. 9 - Prob. 70ECh. 9 - Prob. 71ECh. 9 - Prob. 72ECh. 9 - Prob. 73ECh. 9 - Prob. 74ECh. 9 - Prob. 75ECh. 9 - Show that if P0,P1,P2,... is an arithmetic...
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- Suppose that a particular plot of land can sustain 500 deer and that the population of this particular species of deer can be modeled according to the logistic model as dPdt=0.2(1P500)P. Each year, a proportion of the herd deer is sold to petting zoos. a. Find the function that gives the equilibrium population for various proportions. b. Determine the maximum number of deer that should be sold to petting zoos each year. Hint: Find the maximum sustainable harvestarrow_forwardWhat is the y -intercept of the logistic growth model y=c1+aerx ? Show the steps for calculation. What does this point tell us about the population?arrow_forwardWhat is the y -intercept on the graph of the logistic model given in the previous exercise?arrow_forward
- Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use exponential regression to fit a model to these data. b. If spending continues at this rate, what will the graduate’s credit card debt be one year after graduating?arrow_forwardDoes a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.arrow_forwardSuppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?arrow_forward
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