40. Brain weight B as a function of body weight W in fish hasbeen modeled by the power function B 0.007W, whereB and W are measured in grams. A model for body weightas a function of body length L (measured in centimeters) isW 0.1222 If, over 10 million years, the average length ofa certain species of fish evolved from 15 cm to 20 cm at aconstant rate, how fast was this species brain growing whenthe average length was 18 cm?

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Answered: 40, Brain weight B as a function 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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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?
6. The initial population of a town was 12000. After 5 years the population increased to 38000 people. /6a 1c a) Express the population growth as an exponential function of time (in years) in the form A = Aoekt.
The table below represents the number of clients for a company from 2018 to 2022 (t − 0 represents 2018): Year, t Clients(Thousands) 1 6 2 10 3 25 4 34 (a) Find a logarithmic regression model, f(t) = A ln t + C to represent the data. (b) Using the model, predict the number of users in 2023? (c) Using the model, when will the company exceed 5227 clients?
Suppose a species of fish in a particular lake has a population that is modeled bythe logistic population model with growth rate k, carrying capacity N, and time tmeasured in years. Adjust the model to account for each of the following situations. * One hundred fish are harvested each year.* One-third of the fish population is harvested annually.* The number of fish harvested each year is proportional to the square root of thenumber of fish in the lake. I was hoping to compare my answer to yours because I am a little confused if I did it right. Thank you for your time and effort.
The exponential growth model of a population in a certain city is A= 20e0.05t, where A is the size of the population in thousands in a particular year, and t is the number of years from the year 2000. a) What is the population of the city in the year 2000? b) What is the population of the city in the year 2020? C) If the rate of change increased after 2020 to 10%, in what year that the population be 200,000? d) What could be the initial population if the number of people is 10, 0000, 000 in 12 years with the same growth rate?

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