Q.2- To the data given in the table below;X0.752y0.81.3Xb+xFit a Saturation-Growth-Rate model.y = a2.51.241.661.781.88.51.7

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Answered: Q.2- To the data given in the table…

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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2. Let the function Prepresent the population in billions of a country P (t) and represented by the model P (t) = 1.39 (1.006) . Select all of the statements that are true. a. The starting population in 2013 was 1.39 billion. b. In 2031 the population will be approximately 1.55 billion. c. The annual growth rate is 6%. d. Another way to represent the model is P (t) = 1.39 · e0.006t 3. A population of cicadas is modeled by a function defined by f(w) = 250 • e(0.5w) where w is the number of weeks since the population was first measured. a. Rewrite the equation 500 = 250 · e0.5w to isolate w. b. What does w mean in this context? c. How many weeks does it take for the cicada population to double? Show your reasoning.
Suppose you know that the values in the table for y(t) grow or decay exponentially. Which of the choices below is the best match for the percent rate of change per year? 1 6 11 y(t) 1.49 43.9 1290 38200 Year 16 O a) 0.394 b) 0.774 0.968 d) 0.871
The following table contains the demand from the last 10 months. Calculate the exponential smoothing with trend forecast for these data, using an α of 0.30, a δ of 0.30, an initial trend forecast (T1) of 1, and an initial exponentially smoothed forecast (F1) of 30. Round your intermediate calculations and answers to two decimal places.
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7. DETAILS ZILLDIFFEQMODAP11 3.1.001. MY NOTES ASK YOUR TEACHER The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P has doubled in 5 years, how long will it take to triple? (Round your answer to one decimal place.) yr How long will it take to quadruple? (Round your answer to one decimal place.) yr
4 of 6 (6 complete) Score: 0 of 1 pt 5.8.21 Assigned Media Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where x is the number of years after 1900. y= -0.0000082+0 00232-0,168x +8334 The estimated average annual growth rate of the country's population for 1950 is (Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer temaining Chear All P ype here to search
(a) Fill in the table. Hint: Some of the values are listed on the vertical axis. (Type an integer or decimal rounded to one decimal place as needed.) Amount Q, 12.87 Time, t, (hours) (mg) Number 2 12.8 4 6.4 3.2 8 Number 6.4- 10 Number 12 Number 3.2- 2 4 8. 10 12 14 16 (b) Report the half-life. Use the pull-down menu to report the units. The half-life is Number Click for List (c) Write a formula which gives Q as a function of t. The parameters in the formula should not contain rounded values. Include 0.5 in your formula. Q = OEP (Your answer involves 0.5, real numbers, and a lower case t.) TIP: If desired, click on the Plot icon () next to the answer box to graph your response. (Although your answer may match the graph, it will be counted incorrect if it is not in the form requested.) (d) Estimate the length of time until the amount of the drug in the patient's bloodstream is 0.2 mg. After Number hours, the amount of drug in the bloodstream is 0.2 mg. (Type an integer or decimal…

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Q.2- To the data given in the table below; X 0.75 y 0.8 2 1.3 X b+x Fit a Saturation-Growth-Rate model. y = a 2.5 1.2 4 1.6 6 1.7 8 1.8 8.5 1.7