This question refers to the population growth problem in section 3.9 of the lecture notes.Suppose that bacteria growth is modelled by the DE given in the notes.Suppose that the number of bacteria is observed to double after 10 days, and the estimated carrying capacity is11 times the initial population. What is the estimated population, as a multiple of the initial population, after 21 days?(For example an answer of 3.5 would indicate a population 3.5 times the initial population).Give the answer accurate to 2 decimal places.数字

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Answered: This question refers to the population…

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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The population of a southern city follows the exponential law. Use this information to answer parts a and b. (a) If N is the population of the city and t is the time in years, express N as a function of t N(t)= No e (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 30 months and the current population is 40,000, what will the population be 3 years from now? kt The population will be approximately people. (Do not round until the final answer. Then round to the nearest whole number as needed.)
2. step 1 fill in the blank please. ty!
Based on the growth and decay model, answer the given problems. 1. 800 grams of a certain radioactive substance will be reduced to 750 grams after 15 days. How much substance will be left after 42 days? How many days will it take for the substance be reduced to 200 grams? What is the half – life of the substance?
Problem 5. [10 pts] The population of ants in a colony grows according to the exponential growth model with a growth rate of 4.2%. If the population of ants is 1800 in 2001, how many ants are there in the colony in 2007?
6. From 1790 to 1860, U.S. population grew rapidly (see the table). Let f(t) be the population t years after 1790. a) Create a scattergram for the data on your Graphing Calculator. b) Based on your scattergram, what appears more appropriate, a linear model, or an exponential model? Explain Year 1790 1800 1810 1820 1830 1840 1850 1860 d) What is the base? What does it tell us about the rate of population growth? Population (millions) 3.9 5.3 7.2 9.6 12.9 17.1 23.2 31.4 c) Use ExpReg on your GC to find an equation to model the situation. Write your answer using function notation. Round using 6 decimal places.
This exercise uses the population growth model. The population of a certain species of fish has a relative growth rate of 1.1% per year. It is estimated that the population in 2010 was 14 million. (a) Find an exponential model n(t) = noert for the population (in millions) t years after 2010. n(t) = (b) Estimate the fish population in the year 2015. (Round your answer to three decimal places.) million fish (c) After how many years will the fish population reach 17 million? (Round your answer to one decimal place.) yr (d) Sketch a graph of the fish population. n(t) n(t) (millions) (millions) 20 20 15 15 10 10 5 MAY 21 Pro
No SIM ? 15:19 54% A colstate.view.usg.edu Problem 1: a. A patient has 150 milligrams of aspirin in her bloodstream. If the amount of aspirin in her bloodstream decays exponentially, with one third being removed every 3 hours, find the amount A(t) of aspirin remaining in the bloodstream after/ hours. 31 A) A(t) =150 B) A(t) = 150 C) A(t) =150| D) A(1) =150 b. Water that is initially contaminated with a concentration of 9 milligrams of pollutant per liter of water is subjected to a cleaning process. The cleaning process is able to reduce ( 3 ), - be the concentration, the pollutant concentration by 25% every 2 hours. Let C(t) = 9 in milligrams of pollutant per liter of water t hours after the purification process begins. Find the concentration of pollutant in the water after 5 hours. Please round your answer to two decimal places. A) 2.14 mg/ B) 4.38 mg/l C) 0.0088 mg/l D) 0.28 mg/1 c. Using the function in part b, when will the concentration of pollutant be 5 milligrams per liter of…
a. Which of the following equations would model an exponential quantity that begins at a level of 16 and decreases ata constant rate of 8% per hour? Based on the context what is: (1) Q-16(0.92) (3) Q 16(1.08) (2) Q16+0.92 (4) Q-16(-7)

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