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Poaching model question- math
The poaching model for Species Y is Y′=aY(1−Y)−b where the variable Yrepresents the population of Species Y and Y=0.86 when t=0. If a=0.2 and b=0.04, what can be said about the population of Species Yin the long run? a) The population will level off near 28% of its carrying capacity b)The population will level off near 78% of its carrying capacity. c)The population will die off. d)The population will level...
Exploring the "Logistics" 5. A better model for a population is called a logistic model, where...
Exploring the "Logistics" 5. A better model for a population is called a logistic model, where a population appears to grow exponentially early on, but then levels off toward its carrying capacity (the theoretical maximum population). levels off near carrying capacity acts exponential early on a. (4 points) Explain why modeling a population with an exponential equation doesn't make sense long-term (think about what pressures a population could be under)
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b =...
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
16. The population of an endangered species of turtles will grow according to the model: 500...
16. The population of an endangered species of turtles will grow according to the model: 500 1+83e-0.1620 P(t) (a)Setermine the carrying capacity (b)The growth rate of the turtle (c)The population after 3 years (d) When will the pop[ulation reach 300 turtles 17. A thermometer reading 72°F is placed in a refrigerator where the temperature is a constant 38 (a)lf the thermometer reads 60°F after 2mins.what will it read after 7 minutes? (b) How long will it take before the thermometer...
A native species of earthworm (species 1) has an Imax of 0.5, and a carrying capacity...
A native species of earthworm (species 1) has an Imax of 0.5, and a carrying capacity of 50 worms per square meter of soil. An invasive introduced earthworm species (species 2) has an I'max of 0.0, and a carrying capacity of 100 (per square meter). The niches of these two earthworms overlap to some degree, such that a2i = 0.8 and a2 = 0.6. Which of the following equations best describes the population growth rate of the invasive species, when...
We go back to the logistic model for population dynamics (without harvesting), but we now allow t...
part d please
We go back to the logistic model for population dynamics (without harvesting), but we now allow the growth rate and carrying capacity to vary in time: dt M(t) In this case the equation is not autonomous, so we can't use phase line analysis. We will instead find explicit analytical solutions (a) Show that the substitution z 1/P transforms the equation into the linear equation k (t) M(t) dz +k(t) dt (b) Using your result in (a), show...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that P(0) = 10 to solve equation (5). 3. The carrying capacity of Atlantic harp seals has been estimated to be C = 10 million seals. Let 1 = 0 correspond to the year 1980 when this seal population was estimated to be about 2 mil- lion. (Data from: Fisheries and Oceans Canada.) (a) Use a logistic growth model = kP(C - P) with k...
^these two are together ^together ^these two are together ^these two are together en Find the...
^these two are together
^together
^these two are together
^these two are together
en Find the indicated probability using the standard normal distribution Plz< -1.28 or z> 128) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table P(z< - 1.28 or z>1.28)=(Round to four decimal places as needed.) In a random sample of 18 people, the mean commute time to work was 31,1 minutes and the standard...
il store chain with 2 locations is worried that Store #1 is slacking on the quality...
il store chain with 2 locations is worried that Store #1 is slacking on the quality of their customer service. They want to run a hypothesis test that the percent of customers who think their service was pooris the same at both locations. They have collected the following data. Refer to Store #1 as Population 1 and Store #2 as Population 2, and answer the following questions leading up to the hypothesis test. Store #1 (population 1)Customers surveyed = 200...
1. 2. 3. In a Standard Normal model, what value(s) of z cut(s) off the region...
1.
2.
3.
In a Standard Normal model, what value(s) of z cut(s) off the region described? Don't forget to draw a picture. REGION: The middle 90% 10 A 0.842 © B -0.675 O C -1.881 -1.881 0 D -1.645 to 1.645 Police department salaries in San Francisco have a mean of $90,702 and an sd of $45,321. A chief of police's salary has a z-score of z = 4.84. Interpret this z-score. O A The chief of police makes...
Exploring the "Logistics" 5. A better model for a population is called a logistic model, where a population appears to grow exponentially early on, but then levels off toward its carrying capacity (the theoretical maximum population). levels off near carrying capacity acts exponential early on a. (4 points) Explain why modeling a population with an exponential equation doesn't make sense long-term (think about what pressures a population could be under)
Population growth problems BIDE model: No.1 N, +(B + 1) - ( D Rates: b = B/N; d = D/N: E) Net growth rate: R = b-d Exponential growth (discrete): N, NR* where R = 1+b-d Intrinsic rate of increase: r = InR Exponential growth (continuous): N:Noe -or-dN/dt = IN Logistic growth 1. Suppose a species of fish in a lake is modeled by a logistic population model with relative growth rate ofr 0.3 per year and carrying capacity of...
16. The population of an endangered species of turtles will grow according to the model: 500 1+83e-0.1620 P(t) (a)Setermine the carrying capacity (b)The growth rate of the turtle (c)The population after 3 years (d) When will the pop[ulation reach 300 turtles 17. A thermometer reading 72°F is placed in a refrigerator where the temperature is a constant 38 (a)lf the thermometer reads 60°F after 2mins.what will it read after 7 minutes? (b) How long will it take before the thermometer...
A native species of earthworm (species 1) has an Imax of 0.5, and a carrying capacity of 50 worms per square meter of soil. An invasive introduced earthworm species (species 2) has an I'max of 0.0, and a carrying capacity of 100 (per square meter). The niches of these two earthworms overlap to some degree, such that a2i = 0.8 and a2 = 0.6. Which of the following equations best describes the population growth rate of the invasive species, when...
part d please
We go back to the logistic model for population dynamics (without harvesting), but we now allow the growth rate and carrying capacity to vary in time: dt M(t) In this case the equation is not autonomous, so we can't use phase line analysis. We will instead find explicit analytical solutions (a) Show that the substitution z 1/P transforms the equation into the linear equation k (t) M(t) dz +k(t) dt (b) Using your result in (a), show...
Exercises 1. Verify equation (3) 2. Use the techniques of Section 13.7 and the fact that P(0) = 10 to solve equation (5). 3. The carrying capacity of Atlantic harp seals has been estimated to be C = 10 million seals. Let 1 = 0 correspond to the year 1980 when this seal population was estimated to be about 2 mil- lion. (Data from: Fisheries and Oceans Canada.) (a) Use a logistic growth model = kP(C - P) with k...
^these two are together
^together
^these two are together
^these two are together
en Find the indicated probability using the standard normal distribution Plz< -1.28 or z> 128) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table P(z< - 1.28 or z>1.28)=(Round to four decimal places as needed.) In a random sample of 18 people, the mean commute time to work was 31,1 minutes and the standard...
1.
2.
3.
In a Standard Normal model, what value(s) of z cut(s) off the region described? Don't forget to draw a picture. REGION: The middle 90% 10 A 0.842 © B -0.675 O C -1.881 -1.881 0 D -1.645 to 1.645 Police department salaries in San Francisco have a mean of $90,702 and an sd of $45,321. A chief of police's salary has a z-score of z = 4.84. Interpret this z-score. O A The chief of police makes...
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