Answered: The population of a town, t years from…

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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In order to keep the songbirds in the back yard happy, one person puts out 14g of seeds at the end of each week. During the week, the birds find and eat 70% of the seeds. The DTDS for the amount of seeds in the back yard at time t where t is measured in weeks and seeds are counted just after a new supply is given by Xt+1 = 0.3х, + 14 Which of the following is an equation for the general solution of this DTDS, based on an initial seed quantity of 50g? None of the above/below Xt = (0.7)'(50) + 50 Xị = (0.3)'(30) + 64 Xt = (0.3)'(30) + 20 X; = (14)'(50) + 20 Xị = (0.7)'(30) + 20 = lx
According to a study, the probability that a smoker will quit smoking increases with the smoker's educational level. The probability (expressed as a percent) that a smoker with x years of education will quit is approximated by the equation f(x) = 0.831x² 18.1x + 137.3 (for 10 ≤ x ≤ 16).t (a) Find f(12). (Round your answer to three decimal places.) f(12) = 39.764 ✓ Interpret this number. [Hint: x = 12 corresponds to a high school graduate.] A smoker who is a high school graduate has a X % chance of quitting. Find f'(12). (Round your answer to three decimal places.) f'(12) = 1.844 ✓ Interpret this number. [Hint: x = 12 corresponds to a high school graduate.] When a smoker has a high school diploma, the chance of quitting is increasing ✓ (b) Find f(16). (Round your answer to three decimal places.) f(16) = Interpret this number. [Hint: x = 16 corresponds to a college graduate.] A smoker who is a college graduate has a Find f'(16). (Round your answer to three decimal places.) f'(16) = %…

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The population of a town, t years from now, is modelled by P(t)= t3 -7t2 +7t +115 where P(t) is measured in thousands of people. When is the population of this town greater than 100 thousand people? Be sure to include a therefore statement and interpret your results in the context of this question