Consider a population P(t) satisfying the extinction explosion equation = ap - bP. where B= ap is the time rate at which births occur and D = bP is the rate at which deaths occur. If the initial population is P(0) = P, and B births per month andD,P.D, deaths per month are occurring at time t=0, show that the threshold population is M=B.dP== ap - bP can be rewritten in the form = kP(M - P) where k= -a and M=-Since, D= bP and B= aP, M can be rewritten in terms of B. D, and P.M-0

Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

Answered: Consider a poputation Piti satistying…

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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An industrial oil heater is tested by its ability to heat up a large room on a cold day and in particular, the rate at which it reaches a desired average temperature. The size of the room and the room temperature prior to switching on the heater were identified as two important factors of the rate at which the average room temperature increases. The experiment was replicated 3 times for each combination. The time (in minutes) till an average temperature increase of 10°C was measured is tabulated below: Factor B Large Classroom (200m2) Large Auditorium (400m2) (1) Treatment Combination (2) Factor A 7°C (1) 8,9,8 22,18,21 12°C (2) 9,10,12 19,29,25 Let factor A be the initial temperature and factor B be size of the room.
An investigation was carried out to study the relationship between speed (ft/sec) and stride rate (number of steps taken/sec) among female marathon runners. Resulting summary quantities includedn = 11, E(speed) = 205.5, E(speed)2 = 3884.08, E(rate) = 35.15, E(rate)2 = 112.691, and E(speed)(rate) = 660.136. (a) Calculate the equation of the least squares line that you would use to predict stride rate from speed. (Round all numerical values to four decimal places.) (b) Calculate the equation of the least squares line that you would use to predict speed from stride rate. (Round all numerical values to four decimal places.) (c) Calculate the coefficient of determination for the regression of stride rate on speed of part (a) and for the regression of speed on stride rate of part (b). (Round your answers to three decimal places.) for part (a) for part (b)
If the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with CI of (85, 90), are the two life expectancies likely to be statistically different?
High to centimeters and weight in kilograms are measured for 100 randomly selected adult males and range from the height of 131 to 189 cm and weights of 37 to 150 kg. let the predictor variable X be the first variable given. the 100 paired measurements yield X bar is equal to 167.31 cm, y bar is equal to 81.42 kg. R is equal to 0.335. P value equal to 0.001 and predicted y = -103+1.08x. find the best predictive value of predicted why wait given an adult male who is 150 cm tall use a 0.01 significance level.
7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?
Please solve 12.7 and dont use any programme like minitab.
So, if the chi-square is 4.29 and the critical value is 5.99. Do you accept or reject the Ho?
If the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with CI of (40, 98), are the two life expectancies likely to be statistically different?
In an M/MA queueing system, the arrival rate is 5 customers per hour and the service rate is 9 customers per hour. If the service process is automated (resulting in no variation in service times but the same service rate), what will be the resulting performance measurements? (Round your answers to 3 decimal places.) 2.
An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give x¯=3.07 and s=5.11. Does this sample provide evidence that Variety A had a higher yield than Variety B? (a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)H0 : Ha : (b) Find the test statistic, t = 7,6
Pison/&user=tmorrison7&key%3DrotNBBCzVIsGRqZV8t.. Previous Problem Problem List Next Problem (1 point) Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy. Subject 1 3 4 7 8 9 10 11 12 13 14 15 16 Empathy Score 41 48 39 56 64 63 59 53 Brain Activity -0.127 0.3910.02 0.378 0.015 0.404 0.11 0.513 0.149 0.736 0.254 0.573 0.217 0.72 0.355 0.786 47 52 64 73 12 68 28 120 1.2 sub ject Z F20 10,0 120 -8.4 Given that the equation for the regression line is y = 0.00619x +0.00032, what is…

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