Homework Answers
Attached find the graph of the data:
21. At population size of 25, the population is growing the fastest. At htis point dN/dT= rN (K-N/K), using values , dN/dT= 1 X 25(100-25/100)= 25 X 0.75= 18.75
a. At population size of 99, it is growing the slowest with dN/dT of 0.99, putting the values of dN/dT= rN (K-N/K), using values , dN/dT= 1 X99(100-99/100)= 99 X (1/100)= 0.99
b. When the number of births equals the number of deaths, the population is at its carrying capacity for that habitat. If resources are being used faster than they are being replenished, then the species has exceeded its carrying capacity. If this occurs, the population will then decrease in size.In population dynamics and population ecology, overshoot occurs when a population temporarily exceeds the long term carrying capacity of its environment. The consequence of overshoot is called a collapse, a crash or a die-off in which there is a decline in population density.
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Do the calculations and fill in the chart below. You may want to do this in...
1. Describe this equation and what does it mean? When it would be used by an...
1. Describe this equation and what does it mean? When it would be used by an ecologist? dN/dt = rN 2. Describe this equation and what does it mean? When it would be used by an ecologist? dN/dt = r N (1 - N/K) 3 . Describe this equation and what does it mean? When would it be used by an ecologist? Nt = No ert 4. Distinguish between exponential and logistic population growth. Give the equations for each. 5....
a) You are studying a population of aphids with an initial population size of 500. During...
a) You are studying a population of aphids with an initial
population size of 500. During a one-month period, you observe 40
births and 15 deaths in the population. Estimate the value of r for
that month, and predict the population size in three months (from
the initial population size). Remember that r is the per capita
rate of population increase. (Assume exponential population
growth).
b) Imagine you are growing ciliates in a laboratory flask. The
carrying capacity is 1000...
Equations that you may be asked to utilize N+1 = RN N(1) = N(O)At N(O) =...
Equations that you may be asked to utilize N+1 = RN N(1) = N(O)At N(O) = N(Oert dN/dt = TN dN/dt = TN (K - N/K Average finite rate of increase = (N/N) (4) Time to reach a certain pop. size = logN, =logNo + f(logi) 2= el 1 = N/N, or Nr+/N, 1. You have been studying a species of annual plant in the local prairie for two years. You find there are currently 1256 plants, up from 989...
Given this bird population growth data, answer the followign questions: 1) Explain why you think the...
Given this bird population growth data, answer the followign
questions:
1) Explain why you think the population grew in the pattern it
did
2) Model the population as closely as possible using the
logistic equation. Lowever to do so, you'll need to predict the
intrinsic rate of increase and carrying capacity. Estimate these
vales as must as possible. Report the estimated R and K and graph
1) the populations (both modeled and real on the same graph)
against time, 2)...
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...
S-15 PM Wed May 6 Select the correct answer for each question. You must show all...
S-15 PM Wed May 6 Select the correct answer for each question. You must show all work. 1. Which equation does the function y = e-6 satisfy? A. Y" – 3y' + 42y = 0 B. y" - y' - 42y = 0 C. y" - y' + 42y = 0 D. Y" + y' – 42y = 0 E. y" + y' +42y = 0 2. Use Euler's method with step size 0.25 to estimate y(1), where y(x) is...
Help with question 3 b. (2 pts) Based on your answer to part a, do you...
Help with question 3
b. (2 pts) Based on your answer to part a, do you think the company should decrease production by 100 calculators per week? Explain why or why not. 2. Suppose that for a company manufatorin Calculators, the cost function is given C4 = 100,000 + 40x, and the revenue function is. [by RQ) = 11908-15, where the production output in 1 week is a Calculators, a.) Suppose that the company is currently producing 1,850 Calculators and...
Section 2 Exponential Growth Population Growth 4 > To see this positive feedback, you will now...
Section 2 Exponential Growth Population Growth 4 > To see this positive feedback, you will now calculate the expected population dire at weeks 10, 11 and 12 using the exponential growth equation. In the simulation, the initial population size, N. is 15. Your estimate ofron an earlier page in this topic should have been about 0.25. With these numbers, first calculate the value of STEP 1: Enter the value of that you calculated in the pair of Check Answer questions...
DO NOT WRIFE ON THE TEST of all carbon in living organisms is B) carbon dioxide...
DO NOT WRIFE ON THE TEST of all carbon in living organisms is B) carbon dioxide from atmosphere and water D) sedimentary rocks bacteria A) broaation of tundra is dominated by B) short plants such as sedges, heaths, and willow D) sclerophyllous broadleaf evergreen shrubs. evergreen trees 01. Classification of the A) True major world's major terrestrial biomes is based on the dominant forms of plant life. B) False 92. The major natural ecosystem of the central United States (lowa,...
Carefully use the following information to answer below questions! Suppose you are given IS: Y 1250-50r...
Carefully use the following information to answer below questions! Suppose you are given IS: Y 1250-50r and LM: Y 450+30r, a 2.5 M - 700 and P 2, M-(/3)Y+200-10r, nitial equilibrium Y-750, r-10 and . a) Evaluate numerically only the impact of fiscal policy on the income level Y) when government expenditure is increased by S5 billions, under the conditions when: i) Sensitivity of investment demand to the interest rate is 0.001 and 100. Less sensitivity of Investment to the...
a) You are studying a population of aphids with an initial
population size of 500. During a one-month period, you observe 40
births and 15 deaths in the population. Estimate the value of r for
that month, and predict the population size in three months (from
the initial population size). Remember that r is the per capita
rate of population increase. (Assume exponential population
growth).
b) Imagine you are growing ciliates in a laboratory flask. The
carrying capacity is 1000...
Equations that you may be asked to utilize N+1 = RN N(1) = N(O)At N(O) = N(Oert dN/dt = TN dN/dt = TN (K - N/K Average finite rate of increase = (N/N) (4) Time to reach a certain pop. size = logN, =logNo + f(logi) 2= el 1 = N/N, or Nr+/N, 1. You have been studying a species of annual plant in the local prairie for two years. You find there are currently 1256 plants, up from 989...
Given this bird population growth data, answer the followign
questions:
1) Explain why you think the population grew in the pattern it
did
2) Model the population as closely as possible using the
logistic equation. Lowever to do so, you'll need to predict the
intrinsic rate of increase and carrying capacity. Estimate these
vales as must as possible. Report the estimated R and K and graph
1) the populations (both modeled and real on the same graph)
against time, 2)...
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...
S-15 PM Wed May 6 Select the correct answer for each question. You must show all work. 1. Which equation does the function y = e-6 satisfy? A. Y" – 3y' + 42y = 0 B. y" - y' - 42y = 0 C. y" - y' + 42y = 0 D. Y" + y' – 42y = 0 E. y" + y' +42y = 0 2. Use Euler's method with step size 0.25 to estimate y(1), where y(x) is...
Help with question 3
b. (2 pts) Based on your answer to part a, do you think the company should decrease production by 100 calculators per week? Explain why or why not. 2. Suppose that for a company manufatorin Calculators, the cost function is given C4 = 100,000 + 40x, and the revenue function is. [by RQ) = 11908-15, where the production output in 1 week is a Calculators, a.) Suppose that the company is currently producing 1,850 Calculators and...
Section 2 Exponential Growth Population Growth 4 > To see this positive feedback, you will now calculate the expected population dire at weeks 10, 11 and 12 using the exponential growth equation. In the simulation, the initial population size, N. is 15. Your estimate ofron an earlier page in this topic should have been about 0.25. With these numbers, first calculate the value of STEP 1: Enter the value of that you calculated in the pair of Check Answer questions...
DO NOT WRIFE ON THE TEST of all carbon in living organisms is B) carbon dioxide from atmosphere and water D) sedimentary rocks bacteria A) broaation of tundra is dominated by B) short plants such as sedges, heaths, and willow D) sclerophyllous broadleaf evergreen shrubs. evergreen trees 01. Classification of the A) True major world's major terrestrial biomes is based on the dominant forms of plant life. B) False 92. The major natural ecosystem of the central United States (lowa,...
Carefully use the following information to answer below questions! Suppose you are given IS: Y 1250-50r and LM: Y 450+30r, a 2.5 M - 700 and P 2, M-(/3)Y+200-10r, nitial equilibrium Y-750, r-10 and . a) Evaluate numerically only the impact of fiscal policy on the income level Y) when government expenditure is increased by S5 billions, under the conditions when: i) Sensitivity of investment demand to the interest rate is 0.001 and 100. Less sensitivity of Investment to the...
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