Homework Answers
Any problem then comment below I will explain you...
We clearly see in direction field .. when initial value is Greater than 1.5 ... Then solution values converges to 1.5 .....
There..if p(0) = 1.9 ..
Then lim p(t) = 1.5 ...
Please mention the available option for last part in comment below. So that I will inform you which is correct....
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The logistic equation for the population (in thousands) of a certain species is given by =...
The logistio equation for the population in thousanda) of a certain species is given by -...
The logistio equation for the population in thousanda) of a certain species is given by - 3702 -20°. Completo parts (a) through (m) below. (a) Sketch the direction field by using either a computer software package or the method of soclines. Choose the correct sketch below. ОА AP OC Pop out (b) If the initial population is 2000 (that is, p10) -2]what can be said about the limiting population im pit? If p(0) = 2, then lim pr)- ). The...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...
Homework: 1.3 Direction Fields Save Score: 0 of 1 pt 4 of 7 (0 complete) HW...
Homework: 1.3 Direction Fields Save Score: 0 of 1 pt 4 of 7 (0 complete) HW Score: 0%, 0 of 7 pts 1.3.7 Question Help Consider the differential equation pip - 1.25%p-3) for the population p (in thousands) of a certain species at time L Complete parts (a) through (o) below. (U? (b) If the initial population is 3300 (that is, p(0) = 3.3), what can be said about the limiting population lim If p(0) = 3.3, then lim p(t)...
21² + 6 Ay The population, P, in thousands of a resort community is given 100...
21² + 6 Ay The population, P, in thousands of a resort community is given 100 600t by P(t) = t20, where t is time, in months. 80-A a) Find the population at t= 0, 1, 3, and 8 months. .60 b) Find the horizontal asymptote of the graph and determine the 401 value that P(t) approaches as t goes to co? c) Explain the meaning of the answer to part (b) in terms of the 20- application 0 10...
The population of a certain state (in thousands) from 1990 (t = 0) to 2000 (t=...
The population of a certain state (in thousands) from 1990 (t = 0) to 2000 (t= 10) is modeled by the polynomial p(t) = -0.376+ 108t + 7066. a. Determine the average growth rate from 1990 to 2000. b. What was the growth rate for this state in 1994 (t = 4) and 2000 (t = 10)? c. Use a graphing utility to graph p' for Osts 10. What does this graph tell you about population growth in this state...
Consider the following logistic equation for t2 0. Sketch the direction field, draw the solution curve...
Consider the following logistic equation for t2 0. Sketch the direction field, draw the solution curve for each initial condition, and find the equilibrium solutions. Assume t20 and P0. P P' (t) = 0.02P 1- 300 P(O) = 100, P(O) = 200, P(O) = 400 OA P 1000 OB P 1000 O c. P 1000 OD P 1000 750 750 750 750 500 500 500 500 250 2501 250 250 100 200 300 400 100 200 300 400 100 200...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
Test the claim about the population mean, , at the given level of significance using the...
Test the claim about the population mean, , at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; 6 = 3.02. Sample statistics: x = 28.8, n=62 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u = 30 Hu> 30 0 C. Ho: < 30 Hau= 30 E. Ho: u = 30 H: #30 OB. Ho:u#30 Ha: u = 30 OD. Ho: > 30 Ha: H...
A medical researcher says that less than 79% of adults in a certain country think that...
A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated in a random sample of 500 adults in that country, 76% think that healthy children should be required to be vaccinated. At a=0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below (a) Identity the claim and state Hy and H Identify the claim in this scenario Select the correct...
Please help ASAP please. Let X represent the full height of a certain species of tree....
Please help ASAP please.
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 219.5 ft and standard deviation 62.5 ft You intend to measure a random sample of n 187 trees. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution Complete the indicated boxes, correct to two decimal places Points possible:...
The logistio equation for the population in thousanda) of a certain species is given by - 3702 -20°. Completo parts (a) through (m) below. (a) Sketch the direction field by using either a computer software package or the method of soclines. Choose the correct sketch below. ОА AP OC Pop out (b) If the initial population is 2000 (that is, p10) -2]what can be said about the limiting population im pit? If p(0) = 2, then lim pr)- ). The...
Suppose that a population of hacteria grows according to the logistic differential equation dP =0.01P-0.0002P2 dt where Pis the population measured in thousands and t is time measured in days. Logistic growth differential equations are often quite difficult to solve. Instead, you will analyze its direction field to acquire infom ation about the solutions to this differential equation. a) Calculate the maximum population M that the sumounding environment can austain. (Note this is also calked the "canying capacity"). Hint: Rewrite...
Homework: 1.3 Direction Fields Save Score: 0 of 1 pt 4 of 7 (0 complete) HW Score: 0%, 0 of 7 pts 1.3.7 Question Help Consider the differential equation pip - 1.25%p-3) for the population p (in thousands) of a certain species at time L Complete parts (a) through (o) below. (U? (b) If the initial population is 3300 (that is, p(0) = 3.3), what can be said about the limiting population lim If p(0) = 3.3, then lim p(t)...
21² + 6 Ay The population, P, in thousands of a resort community is given 100 600t by P(t) = t20, where t is time, in months. 80-A a) Find the population at t= 0, 1, 3, and 8 months. .60 b) Find the horizontal asymptote of the graph and determine the 401 value that P(t) approaches as t goes to co? c) Explain the meaning of the answer to part (b) in terms of the 20- application 0 10...
The population of a certain state (in thousands) from 1990 (t = 0) to 2000 (t= 10) is modeled by the polynomial p(t) = -0.376+ 108t + 7066. a. Determine the average growth rate from 1990 to 2000. b. What was the growth rate for this state in 1994 (t = 4) and 2000 (t = 10)? c. Use a graphing utility to graph p' for Osts 10. What does this graph tell you about population growth in this state...
Consider the following logistic equation for t2 0. Sketch the direction field, draw the solution curve for each initial condition, and find the equilibrium solutions. Assume t20 and P0. P P' (t) = 0.02P 1- 300 P(O) = 100, P(O) = 200, P(O) = 400 OA P 1000 OB P 1000 O c. P 1000 OD P 1000 750 750 750 750 500 500 500 500 250 2501 250 250 100 200 300 400 100 200 300 400 100 200...
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function. f(x) = -6x* +5x2 - x +7 Choose the correct answer below. A. The graph of f(x) falls to the left and falls to the right. O B. The graph of f(x) falls to the left and rises to the right O C. The graph of f(x) rises to the left and rises to the right OD. The graph of f(x) rises...
Test the claim about the population mean, , at the given level of significance using the given sample statistics. Claim: u = 30; a = 0.09; 6 = 3.02. Sample statistics: x = 28.8, n=62 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: u = 30 Hu> 30 0 C. Ho: < 30 Hau= 30 E. Ho: u = 30 H: #30 OB. Ho:u#30 Ha: u = 30 OD. Ho: > 30 Ha: H...
A medical researcher says that less than 79% of adults in a certain country think that healthy children should be required to be vaccinated in a random sample of 500 adults in that country, 76% think that healthy children should be required to be vaccinated. At a=0.10, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below (a) Identity the claim and state Hy and H Identify the claim in this scenario Select the correct...
Please help ASAP please.
Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 219.5 ft and standard deviation 62.5 ft You intend to measure a random sample of n 187 trees. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution Complete the indicated boxes, correct to two decimal places Points possible:...
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