B. Solve the problems related to the application of First Order Differential Equations.1. Population GrowthThe population of mosquitoes in a certain area increases at a rate proportional to thecurrent population, and in the absence of other factors, the population doubles each week.There are 200,000 mosquitoes in the area initially, and predators (birds, bats, and so forth)eat 20,000 mosquitoes/day. Determine the population of mosquitoes in the area at anytime.

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Answered: 1. Population Growth The population of…

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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Vital Statistics for US in one year: k=10,000 Population: 285,318,000 Deaths: 2,416,000 Live Births: 4,026,000 Deaths of infants under 1 year of age: 27,500 Deaths of infants under 28 days of age: 18,000 Motor Vehicle Deaths: 43,900 Women aged 15-44: 61,811,000 Fetuses delivered w/o life after 20 weeks of gestation: 39,900 Coronavirus infected persons: 900,000 Deaths from Coronavirus: 17,402 Given the Vital Statistics above, calculate the Coronavirus Mortality Rate for Coronavirus- Infected Person. Edit View Insert Format Tools Table 12pt x Paragraph v B T U A v
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3. Half-lives. Glyphosate is the active ingredient in some herbicides (weed killers) such as RoundupⓇ, Rodeo®, and Accord®, and is typically sprayed onto agricultural fields and forests. When glyphosate lands on plants, it is quickly absorbed through the leaves; in high enough concentration, glyphosate will kill a plant in 24 hours. Glyphosate that lands on soil eventually breaks down, although it can kill microorganisms that are beneficial to the soil. The average half-life of glyphosate in soil is 40 days-sometimes more or less depending on soil conditions. Recommended application rates of glyphosate vary from 0.3 to 4.0 pounds per acre." [9 pts total] a. With a half-life of 40 days, determine the daily decay rate of glyphosate in soils. Report 2 significant figures and include units. b. Suppose that 4 pounds of glyphosate are applied to a 1-acre agricultural field, with 1 pound landing on the soil. Compute the number of days until the glyphosate in the soil breaks down to 0.25…
A population with a growth rate equal to zero is
.A new, miracle diabetes drug that diminishes major symptoms of diabetes has been approved by the FDA. Health care professionals and researchers believe that the new drug will prolong lifespan of diabetes patients. If the population is in steady state and the incidence is constant, what will the effect of this new drug be on the prevalence of diabetes in the population? Explain.
Vital Statistics for US in one year: k=10,000 Population: 285,318,000 Deaths: 2,416,000 Live Births: 4,026,000 Deaths of infants under 1 year of age: 27,500 Deaths of infants under 28 days of age: 18,000 Motor Vehicle Deaths: 43,900 Women aged 15-44: 61,811,000 Fetuses delivered w/o life after 20 weeks of gestation: 39,900 FLU infected persons: 900,000 Deaths from Flu: 17,402 Given the Vital Statistics above, find the general fertility rate. Edit View Insert Format Tools Table 12pt Paragraph BIU AT2 聞く # V くく
Assuming that cars arrive at a toll, on average, every 0.5 minutes, and the toll has only one payment window, and both the time between arrivals and the time between calls follow an exponential distribution. The toll attendant takes an average of 0.3 minutes to collect. Calculate the system performance measures, ie the car arrival rate and the toll service rate.
Vital Statistics for US in one year: k=10,000 Population: 285,318,000 Deaths: 2,416,000 Live Births: 4,026,000 Deaths of infants under 1 year of age: 27,500 Deaths of infants under 28 days of age: 18,000 Deaths from HIV Infection: 43,900 Women aged 15-44: 61,811,000 Fetuses delivered w/o life after 20 weeks of gestation: 39,900 HIV infected persons: 900,000 Deaths from HIV: 17,402 Given the vital statistics above, find the HIV incidence rate.
Pesticide danger: One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which a pesticide is absorbed into skin after contact. An important question is whether the amount in the skin continues to increase with the length of the contact, or whether it increases for only a short time before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 samples of rat skin. Four skins were analyzed at each of the time intervals 1, 2, 4, 10, and 24 hours. The amounts of the chemical (in micrograms) that were in the skin are given in the following table. Duration Amounts Absorbed 1 1.5 2.7 1.6 1.6 2 1.7 1.7 2.4 2.3 4 1.4 2.1 1.6 1.2 10 2.4 1.2 2.1 2.6 24 2.2 1.8 1.7 1.3 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct an ANOVA table. Round your answers to four decimal places. One-way ANOVA: Pesticide Amount Source DF SS MS F Duration Error Total

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