The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated thatthe population in the year 2000 was 29200.(a) Find a function that models the population t years after 2000 (t = 0 for 2000).Your answer is P(t) =(b) Use the function from part (a) to estimate the fox population in the year 2008.Your answer is (the answer should be an integer)

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Answered: The fox population in a certain region…

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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On a cool autumn evening of 70 degrees Fahrenheit, Detective Albert Gebra is investigating a murder/crime scene. Al assumes that the victim had a normal body temperature of 98.6 degrees Fahrenheit when he died (at time m =0) and Al finds that the body cooled from 85.7 degrees to 81.3 degrees in 11 minutes. (a) Use this information to find the constants in the function and clearly state your complete model. You may use the nspire to solve any algebraic equation as long as the equation that you are solving is clearly identified. 2. (b). If at 9:48 PM the body temperature was taken to be 78.4 degrees, use your model to estimate the time of death. Show all steps.
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In 2010, the population of a country was 53 million and growing at a rate of 1.7% per year. Assuming the percentage growth rate remains constant, express the population, P, in millions, as a function of t, the number of years after 2010. P = f(t) = [ million people help (formulas)
In this model, the period immediately after the stock is issued offers excess returns on the stock—that is, the stock is selling for more than it is really worth. One such model for a class of Internet IPOs predicts the percent overvaluation of a stock as a function of time as R(t)=250(t2/(2.718)3t) where R (t) is the overvaluation in percent and t is the time in months after the initial issue. a. Use the information provided by the first derivative, second derivative, and asymptotes to prepare advice for clients as to when they should expect a signal to prepare to buy or sell (inflection point), the exact time when they should buy or sell (local maximum and minimum), and any false signals prior to a horizontal asymptote. Explain your reasoning. please type answer.
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Element X is a radioactive isotope such that its mass decreases by 20% every year. Ifan experiment starts out with 730 grams of Element X, write a function to representthe mass of the sample after t years, where the monthly rate of change can be foundfrom a constant in the function. Round all coefficients in the function to four decimalplaces. Also, determine the percentage rate of change per month, to the nearesthundredth of a percent.

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