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Polynomial Functions Tips on TIPS The population, P, of particles in a sample after t minutes...
1. The population of Sasquatch (in thousands), P(t), t years after 2015 is given by: 120...
1. The population of Sasquatch (in thousands), P(t), t years after 2015 is given by: 120 P(t) 13e-0.05t t > 0 (a) Find and interpret P(0). an expression for P'(t). (b) Find and simplify (c) Find and interpret P'(0). (d) Use P(0) and P'(0) to approximate the Sasquatch population in 2017.
1. The population of Sasquatch (in thousands), P(t), t years after 2015 is given by: 120 P(t) 13e-0.05t t > 0 (a) Find and interpret P(0). an expression for...
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...
Par t II: Rates of Change in Functions of Several Variables 11.1. The table below lists values of...
Par t II: Rates of Change in Functions of Several Variables 11.1. The table below lists values of the function zlx y) where z: production level in thousands per day x: labor cost, in millions of dollars per year, and 015 31 19 The current levels of labor and capital ex penditures are 20 and yo- 30 million $ per year a. What is the current production level? Units: b. Use a centered difference quotient to estimate the instantaneous rate...
please answer 2d, 2e, and 2f and ahow all work. The graph below represents the growth of a certain population. The p...
please answer 2d, 2e, and 2f and ahow all work.
The graph below represents the growth of a certain population. The population is in thousands and the time is in years. Use it to answer the following questions 2. 4 time a. What is the initial population? Use function notation to express your answer. b. What is the average rate of change in the population from year 2 to year 3? Illustrate on the graph above the line that shows...
A species of fish was added to a lake. The population size P(t) of this species...
A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t)= 1200 -0.42t 1+ 3e Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary. Initial population size: fish Population size after 9 years: fish...
Suppose the following graph represents the number of bacteria in a culture t hours after the...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for (StS 36? Estimate the growth rate at this time. b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval Osts 36? a....
The population of Mexico between 1921 and 2010 can be modeled as p(t) = 8.028e0.025t million...
The population of Mexico between 1921 and 2010 can be modeled as p(t) = 8.028e0.025t million people where t is the number of years since 1900.† (a) What was the population of Mexico in 2006? (Round your answer to three decimal places.) How rapidly was the population of Mexico growing in 2006? (Round your answer to three decimal places. (b) Write a linearization of p in 2006. (Round all numerical values to three decimal places.) pL(t) = (c) Use the...
- A population grows at a rate P' (t) = 300t e where P(t) is the...
- A population grows at a rate P' (t) = 300t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. b. Use the answer from part a to find the size of the population after 7 months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. P(t) = (Type an exact...
The population of fish, P, in a lake is a function of time, t, measured in years. The rate of cha...
The population of fish, P, in a lake is a function of time, t, measured in years. The rate of change of P is given by 7600e0.4t fish/year. dt(19 + e0.4t)2 dp dt a. Graph on the domain [0, 20]. Make sure your graph is properly labeled. b. Estimate the change in population on the time interval 0 s t š 20 years. Use 10 intervals, each lasting two years. Use rate of change data from the left side of...
the population P (in thousands) of a certain city from 2000 through 2008 can be modeled...
the
population P (in thousands) of a certain city from 2000 through
2008 can be modeled by
p=280.84e^kt
where t is the year with t=0
corresponding to 2000.
in 2006 the population was about 360,000.
(a) finf the value of k for the model. round your result to
four decimal places
(b) use your model to predict the population in 2015(round
your answer to the nearest person
p=??
16. 1/2 points Previous Answers LarATRMRP7 4.5.0183/30 Submissions Used My Note Corplete...
1. The population of Sasquatch (in thousands), P(t), t years after 2015 is given by: 120 P(t) 13e-0.05t t > 0 (a) Find and interpret P(0). an expression for P'(t). (b) Find and simplify (c) Find and interpret P'(0). (d) Use P(0) and P'(0) to approximate the Sasquatch population in 2017.
1. The population of Sasquatch (in thousands), P(t), t years after 2015 is given by: 120 P(t) 13e-0.05t t > 0 (a) Find and interpret P(0). an expression for...
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...
Par t II: Rates of Change in Functions of Several Variables 11.1. The table below lists values of the function zlx y) where z: production level in thousands per day x: labor cost, in millions of dollars per year, and 015 31 19 The current levels of labor and capital ex penditures are 20 and yo- 30 million $ per year a. What is the current production level? Units: b. Use a centered difference quotient to estimate the instantaneous rate...
please answer 2d, 2e, and 2f and ahow all work.
The graph below represents the growth of a certain population. The population is in thousands and the time is in years. Use it to answer the following questions 2. 4 time a. What is the initial population? Use function notation to express your answer. b. What is the average rate of change in the population from year 2 to year 3? Illustrate on the graph above the line that shows...
A species of fish was added to a lake. The population size P(t) of this species can be modeled by the following function, where t is the number of years from the time the species was added to the lake. P(t)= 1200 -0.42t 1+ 3e Find the initial population size of the species and the population size after 9 years. Round your answers to the nearest whole number as necessary. Initial population size: fish Population size after 9 years: fish...
Suppose the following graph represents the number of bacteria in a culture t hours after the start of an experiment. a. At approximately what time is the instantaneous growth rate the greatest, for (StS 36? Estimate the growth rate at this time. b. At approximately what time in the interval Osts 36 is the instantaneous growth rate the least? Estimate the instantaneous growth rate at this time. c. What is the average growth rate over the interval Osts 36? a....
- A population grows at a rate P' (t) = 300t e where P(t) is the population after t months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. b. Use the answer from part a to find the size of the population after 7 months. a. Find a formula for the population size after t months, given that the population is 3000 at t=0. P(t) = (Type an exact...
The population of fish, P, in a lake is a function of time, t, measured in years. The rate of change of P is given by 7600e0.4t fish/year. dt(19 + e0.4t)2 dp dt a. Graph on the domain [0, 20]. Make sure your graph is properly labeled. b. Estimate the change in population on the time interval 0 s t š 20 years. Use 10 intervals, each lasting two years. Use rate of change data from the left side of...
the
population P (in thousands) of a certain city from 2000 through
2008 can be modeled by
p=280.84e^kt
where t is the year with t=0
corresponding to 2000.
in 2006 the population was about 360,000.
(a) finf the value of k for the model. round your result to
four decimal places
(b) use your model to predict the population in 2015(round
your answer to the nearest person
p=??
16. 1/2 points Previous Answers LarATRMRP7 4.5.0183/30 Submissions Used My Note Corplete...
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