Following an unexplained decline in the number of birds of prey on his property, a farmer sees a drastic rise in its small mammal population. The function M(t) = 300(1.4)' can be used to estimate the number of small mammals on the premises within t years if hawks, owls, and similar birds fail to return. Estimate the number of small mammals in the area 3 years after the birds' decline. small mammals

Q: Because of the absence of predators, the number of rabbits on a small island increases at a rate of…

A: Given that the growth function is: y(t) = y0ekt. At, t=0, y(0) = y0 [This is the initial…

Q: The growth model for a population of bacteria is given as P(t) = 50e2t where t is measured in days.…

A: Given: The growth model is  P(t) = 50e2t where t is measured in days. When P(t)= 25,000  find t

Q: A company determines that its total cost, in thousands of rands, for producing x  items is (image…

A:

Q: Because of job outsourcing, a town predicts that its public school population will decrease at the…

A: Proceed as shown below...

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Put value in function

Q: A population of bacteria is initially 8000. After three hours the population is 4000. If this rate…

A: Given,          A population of bacteria is initially 8000. afters three hours the population is…

Q: The demand for butter in Mexico for a particular year can be estimated by the general functionln q =…

A: lnq=D-0.47lnp Differentiating with respect to p, we get…

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide.…

A:

Q: Find the total income produced by a continuous income stream in the first 10 years if the rate of…

A:

Q: If the population (in millions) of a country as a function of time (in years) is P(t) = 10 · 2kt,…

A:

Q: It was determined that the number of prey consumed by a predator over a period of time was a…

A:

Q: A 2,662-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min)…

A: We have to find the function that gives amount of water in tank at time t.

Q: A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the…

A: The half-life of the radioactive element is the time during which half of the radioactive element…

Q: A recent report by the U.S. Cen- sus Bureau predicts that the U.S. Hispanic population will increase…

A:

Q: #2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell…

A:

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A:

Q: Insulation workers who were exposed to asbestos and employed before 1960 experienced an increased…

A: Number of lung cancer cases occurring within the group are modeled using the function - N(t) =…

Q: A species of rabbits has a growth rate of 0.625 a month. If a population of foxes inhabits the same…

A: Given Growth rate of rabbits = 0.625 a month Foxes kills 10 rabbit per day

Q: The revenue from a manufacturing process (in millions of dollars) is projected to follow the model R…

A:

Q: Between 2006 and 2016, the nurmber of applications for patents, N, grew by about 3.6% per year. That…

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: The duration (time in hours) of dialysis required is modeled by the function y = In(1.5x + 0.5/9x² –…

A:

Q: Suppose we have a tank that contain 10 litres of water and 50 g of salt. The salt solution is…

A: given , tank that contain 10liters of water and 50 gram of salt .  so , initial concentration =>…

Q: Find the present value of a continuous income stream F(t) = 20 + 5t, where t is in years and F is in…

A:

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1r dollars per…

A:

Q: The number of daily users for Japan’s Line messaging service (in millions) can be approximated by…

A: The approximating function that represents the given scenario is: g(x)=53.1+63.1 ln(x) where x…

Q: The farm population has declined dramatically in the years since World War II, and with that…

A: Given: C = 743 − 0.402n + 0.00012n2 where,  C=per pupil cost n= the number of pupils enrolled To…

Q: It has been estimated that the total production of oil from a certain oil well is given by T(t) =…

A:

Q: The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function…

A:

Q: The demand for a natural resource t years from now will be increasing at a rate of te0.0017 million…

A:

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: To find when does the mass reaches 50 grams

Q: A mass of 100 grams of a particular radioactive substance decays according to the function m(t) =…

A:

Q: The revenue (in millions of dollars) from a manufacturing process is projected to follow the model R…

A: Profit=Revenue-Cost

Q: A certain radioactive substance has a half-life of 22 days. As a sample of the radioactive substance…

A:

Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

A:

Q: A culture contains 2000 bacteria initially and doubles every 60 minutes. Assuming that the rate of…

A: To determine the counting function P(t) explicitly, under the given conditions

Q: The total expenditures (in millions) of current dollars for pollution abatement and control during…

A: Here we find the total expenditure.

Q: #3 Find the instantaneous rate of change for the function f(x) = V3 – x at x = -6.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: A mass of 200 grams of a particular radioactive substance decays according to the function m(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  find t when m=50…

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: Find the present value of a continuous income stream F(t) = 30 + 8t, where t is in years and F is in…

A: Given: A continuous income stream is: F(t)=30+8t Where t is in years and F is in thousand of dollars…

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A:

Q: 9. From 1975 to 2009, the age-adjusted incidence rate of invasive lung and bronchial cancer among…

A:

Q: Find the PV of an income stream that pays out continuously at a rate of R(t) = 3000e0.1" dollars per…

A: Given problem:- Find the PV of an income stream that pays out continuously at a rate of R(t) =…

Q: In Example 2, we modeled the population size (in millions) of the United States as N(t) = 8.3(1.33)'…

A: The solution of above question no. #30 is written below with graph.

Q: ズ-1 f(x) = X + 3

A: given: f(x)=(x-1)/(x+3) x=4 delta(x)=8

Q: Suppose you have a clothes dryer that uses 4000 watts of power and run it for an average year f 1…

A: To determine the operational cost of the hair dryer.

Q: the value of an investment is modelled by A(t)=5000e0.09t , where A is the amount the investment in…

A:

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A:

Q: The farm population has declined dramatically in the years since World War II, and with that…

A:

Q: Given the function g(x)=x² −2x³ +1, a. Estimate the instantaneous rate of change at x = 1. b. Will…

A: