I1. In 1970 the Department of Natural Resources released 1000 splake (a crossbreed offish) into a lake. In 1977 the population of splake in the lake was estimated to be 3000Using a Malthusian law for population growth, estimate the population of splake in thelake in 1980. What would the estimate be for the year 1991 using the Malthusian law

The Malthusian growth model is P(t) = P0ert, where P0 is the initial population.

Answered: 11. In 1970 the Department of Natural…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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5. A small ceramics museum had 5000 visitors in its first month January (1 = 0) of operation. The museum staff predicts that the number of visitors will increase by 6% each month. Assuming this prediction is true, how many total visitors should the museum expect in the 1st quarter (January, February, and March). Round your answer to the nearest whole number.
A town's raccoon population is growing exponentially. The expected population can be estimated using the relation P = 1350 (1.013)", where P is the population and n is the number of years. a) What was the current raccoon population? b) What is the expected population in 5 years?
Suppose that the organisms learn to colonize other planets and moons in their solar system. The total surface area of the worlds in their solar system that could potentially be colonized is roughly five times the surface area of their current home planet. Under the assumptions of part (c), could the organisms fit in their solar system in the year 2200? Explain.
Approximately, what is the value of (P) if A=500, n=17 years, and i= 16% per year?
8. The half-life of caffeine (how long it takes for the amount of caffeine in your system to cut in half) is about 5 hours. If there is currently 5.7 mg/L of caffeine in your blood, how long until there will only be 2.3 mg/L of caffeine in your blood?
22. The half-life of radium-226 is 1620 years. a) If the current mass of a sample is 100 grams, what wass the mass 200 years ago? b) How long will it take for the sample to be reduced by 75%%
27) A particular bacterium is found to have a doubling time of 20 minutes. If a laboratory culture begins with a population of 300 of this bacteria and there is no change in the growth rate, how many bacteria will be present in 55 minutes? Use six decimal places in the interim calculation for the growth rate.
Table 1. DEMOGRAPHY OF COUNTRY X 2020 2018 2015 Total population 109,035,343 100,981,437 92,337,852 Average annual population growth rate 1.63 (2015- 2020) 1.72 (2010- 2015) 1.90 (2000- 2010) Population density (persons per square kilometer) 363 337 308 Births (Based on civil registration) Male 990,390 750,871 632,870 Female 952,126 972,802 487,798 Deaths (Based on civil registration) Timely 506,530 509,762 473,987 Late 106,820 110,382 116,803 2012 2009 2005 Total population by sex 102,303,977 93,114,333 89,088,544 Male 51,962,069 46,257,634 44,788,757 Female 50,341,908 46,856,699 44,299,787 Proportion of total population by sex Male 50.79 49.68 50.27 Female 49.21 50.32 49.73 Total population by age group 0-4 years 10,931,818 10,784,233 10,656,575 0-14 years 32,793,155 30,937,734…
In 1980 the population of alligators in a particular region was estimated to be 1700. In 2008 the population had grown to an estimated 5500. Using the Malthusian law for population growth, estimate the alligator population in this region in the year 2020.

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