7. Logistic growth A population is modeled by the differ-ential equationdNdt= 1.2N (1N4200where N(t) is the number of individuals at time t (measuredin days).(a) For what values of N is the population increasing?(b) For what values of N is the population decreasing?(c) What are the equilibrium solutions?

Answered: Image /qna-images/answer/47c3bb6a-2362-4b46-8d06-3347da2bbed8.jpg

Answered: 7. Logistic growth A population is…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The amount of Carbon-14 (C-14) in an animal after it dies is modeled by Q(t) = Qo2-t/5,000 Where Qo is the quantity of C-14 at the time of death and 5, 000 is the half life (in years) of C-14. • If an animal dies with Qo 9 grams of C-14 then how much will remain in 10,000 years? (in grams) Type your answer. The amount of Carbon-14 (C-14) in an animal after it dies is modeled by Q(t) = Qo2-t/5,000 Where Qo is the quantity of C-14 at the time of death and 5,000 is the half life (in years) of C-14. If you find that the remains of an animal have 7% of the amount of Carbon-14 that the animal had when alive then how old are the remains? (round your answer to the nearest year) Type your answer.
A graph of Q = 16e 0.18t is given in the figure. (a) What is the initial value of Q (when t = 0)? |3D 16 Q(0) = . help (numbers) 12 (b) This quantity decays at a continuous rate of % help (numbers) (c) Use the graph to estimate the value of t when Q = 4. help (numbers) 8. (d) Use logs to find the exact value of t when Q = 4. t 3= * help (logarithms) (Click on graph to enlarge)
18
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Euler method (Numerical Analysis) Newton’s law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium Table Graph
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Water temperature affects the growth rate of brook trout. The table shows the amount of weight gained by brook trout after 24 days in various water temperatures. Temperature (°C) 15.5 17.7 20.0 22.4 24.4 Weight gained (g) 37.9 31.4 19.0 9.0 -9.9 If W(x) be the weight gain at temperature x, construct a table of estimated values for W'. (Use a one-sided difference quotient with an adjacent point for the first and last values, and the average of two difference quotients with adjacent points for all other values. Round your answers to two decimal places.) w (x) 15.5 17.7 20.0 22.4 24.4

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