Suppose that the population of a species of fish (in thousands) is modeled by f(?) =...
Suppose that the population of a species of fish (in thousands) is modeled by f(?) = x+10/0.5x2+1, where x ≥ 0 is in years.
a. Sketch a graph of the function on the interval [0,12] x [0,12]. Label and scale your axes.
b. What is the horizontal asymptote?
c. What is the significance of the horizontal asymptote?
d. What is the initial population of fish?
e. What is the population of fish after 5 years?
f. When is the population of fish equal to 4000?
Homework Answers
Add Answer to:
Suppose that the population of a species of fish (in thousands)
is modeled by f(?) =...
A small lake is stocked with a certain species of fish. The fish population is modeled...
A small lake is stocked with a certain species of fish. The fish population is modeled by the function P = 12 1 + 4e−0.4t where P is the number of fish in thousands and t is measured in years since the lake was stocked. (a) Find the fish population after 4 years. (Round your answer to the nearest whole fish.) fish (b) After how many years will the fish population reach 6000 fish? (Round your answer to two decimal...
A small take is stocked with a certain species of fish. The fish population is modeled...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
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...
of this species can be modeled by the following function, where is the number of years...
of this species can be modeled by the following function, where is the number of years A species of fish was added to a lake. The population size P time the species was added to the lake. 2000 PC- 1+7-021 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 x 5 ? Let o...
300 450 1 +0.050 3. S points. Suppose that 300 fish are introduced into a protected...
300 450 1 +0.050 3. S points. Suppose that 300 fish are introduced into a protected lake. The fish population can be approximated by P(t) = with being the time in years since the fish were introduced into the lake. Write the equation of the horizontal asymptote for this function. Also, interpret what this asymptote means in the context of the problem (in terms of the fish population and the number of years since the fish were introduced into the...
A species of animal is discovered on an island. Suppose that the population size P(1) of...
A species of animal is discovered on an island. Suppose that the population size P(1) of the species can be modeled by the following function, where timer is measured in years. 280 -0.29 1+6e Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals X ? Save For Later SA 18 AW
The logistic equation for the population (in thousands) of a certain species is given by =...
The logistic equation for the population (in thousands) of a certain species is given by = 3p-2p. Complete parts (a) through (d) below. (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. ОА. OB o s (U? (b) if the initial population is 1900 that is, p(0) - 1.9), what can be said about the limiting population lim If p(0) - 1.9, then lim p(t) The population...
please respond this sheet 2.1) — Solve. 21) An endangered species of fish has a population...
please respond this sheet
2.1) — Solve. 21) An endangered species of fish has a population that is decreasing exponentially (A-Agekt). The population 6 years ago was 1600. Today, only 900 of the fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.) A) 23 years from today B) 22 years from today C) 25 years from today D) 24 years from...
Sketch the graph of a function with the following characteristics: f(-2) = ( f(0) = 1...
Sketch the graph of a function with the following characteristics: f(-2) = ( f(0) = 1 f(3) = 0 f(4) = 1 Vertical Asymptote at x = 2 Horizontal asymptote at y = 3 + + - f' number line -2 0 2 3 + + - fnumber line -2 0 2 {Label any relative extrema and points of inflection}
00 The information below tells us about the behavior of the rational function f around its...
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
A small take is stocked with a certain species of fish. The fish population is modeled by the function P- 14 1+ 4e -0.80 where P is the number of fish in thousands and t is measured in years since the lake was stocked. (6) Find the fish population after 3 years. (Round your answer to the nearest whole fish) fish (1) After how many years will the fish population reach 7000 fish? (Round your answer to two decimal places.)...
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...
of this species can be modeled by the following function, where is the number of years A species of fish was added to a lake. The population size P time the species was added to the lake. 2000 PC- 1+7-021 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 x 5 ? Let o...
300 450 1 +0.050 3. S points. Suppose that 300 fish are introduced into a protected lake. The fish population can be approximated by P(t) = with being the time in years since the fish were introduced into the lake. Write the equation of the horizontal asymptote for this function. Also, interpret what this asymptote means in the context of the problem (in terms of the fish population and the number of years since the fish were introduced into the...
A species of animal is discovered on an island. Suppose that the population size P(1) of the species can be modeled by the following function, where timer is measured in years. 280 -0.29 1+6e Find the initial population size of the species and the population size after 8 years. Round your answers to the nearest whole number as necessary. Initial population size: individuals Population size after 8 years: individuals X ? Save For Later SA 18 AW
The logistic equation for the population (in thousands) of a certain species is given by = 3p-2p. Complete parts (a) through (d) below. (a) Sketch the direction field by using either a computer software package or the method of isoclines. Choose the correct sketch below. ОА. OB o s (U? (b) if the initial population is 1900 that is, p(0) - 1.9), what can be said about the limiting population lim If p(0) - 1.9, then lim p(t) The population...
please respond this sheet
2.1) — Solve. 21) An endangered species of fish has a population that is decreasing exponentially (A-Agekt). The population 6 years ago was 1600. Today, only 900 of the fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.) A) 23 years from today B) 22 years from today C) 25 years from today D) 24 years from...
Sketch the graph of a function with the following characteristics: f(-2) = ( f(0) = 1 f(3) = 0 f(4) = 1 Vertical Asymptote at x = 2 Horizontal asymptote at y = 3 + + - f' number line -2 0 2 3 + + - fnumber line -2 0 2 {Label any relative extrema and points of inflection}
00 The information below tells us about the behavior of the rational function f around its asymptotes. Use this information to answer the following questions. limf(1) = 5 f(3) =5 lim S(z) = 00 $(x) = -00 lim f(3) = 0 lim f(x) = 0 • The only horizontal intercept: (- 1.8,0). a. What is the vertical asymptote(s) of the functions. If there is no vertical asymptote, write DNE. Separate multiple answers with a comma lim -5 Preview b. What...
Most questions answered within 3 hours.
-
Investor company owns 35% of investee company voting stock and
accounts for the investment under the...
asked 8 minutes ago -
The number of major faults on a randomly chosen 1 km stretch of
highway has a...
asked 33 minutes ago -
Consider the competitive environment of Starbuck's, Progressive
Insurance, a manufacturing firm with low turnover, or a...
asked 1 hour ago -
3. Gains from trade
Consider two neighbouring island countries called Euphoria and
Contente. They each have...
asked 3 hours ago -
A business executive has the option to invest money in two
plans: Plan A guarantees that...
asked 5 hours ago -
Hello, can someone please help me answer this question?
How much heat is absorbed by a...
asked 5 hours ago -
. A marketing researcher conducted a survey of 25 shoppers
randomly selected at the local mall...
asked 5 hours ago -
Create an comprehensive response to the
following:
Antimicrobial agents work on a multitude of microbes (bacteria,...
asked 5 hours ago -
6.13 LAB: Step counter. Section 6.3.
A pedometer treats walking 2,000 steps as walking 1 mile....
asked 5 hours ago -
(14.2) A block of mass m = 10 kg riding on a frictionless
horizontal plane is...
asked 5 hours ago -
Use any search engine to search for articles about Starbucks
partnership with Tata Companies in India...
asked 5 hours ago -
Let’s say that for some reason Bank Excess Reserves suddenly
increase sharply. What effect would this...
asked 5 hours ago