3. When polluted water begins to flow into an unpolluted pond, the concentration of pollutant, C, in the 35t pond at t hours is modelled by c(t)=- where C is measured in kg/cm3. 90+5t When will the concentration in the pond reach 5 kg/cm3?

Q: 29. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the √t…

A:

Q: 2- An efficiency study of the morning shift at a certain factory indicates that an average worker…

A: Here efficiency of the workers after t hours from 9.00AM is given.  We have to find the workers…

Q: A bacterial population is 7000 at time t = 0, and its rate of growth is 1,000 · 4t bacteria per hour…

A: It is given that at t=0 bacteria population is 7000   The growth rate is 1000*4t

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A:

Q: At what rate in cubic centimeters per minute is the volume increasing at this instant?

A:

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A: Solve for the value

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A: To find the rate of change of the carbon monoxide levels per population when t=2

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: Suppose that an lowa class battleship has mass around 52,000 metric tons (52,000,000 kg) and a…

A: Assume that the ship loses power when it is moving at a m speed of 8 m/s. a. We have to find about…

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A: Please see the below picture for detailed solution.

Q: It is estimated that t years from now the population of a certain lakeside community will be…

A: The population is changing at the rate of 0.6t2+0.2t+0.5 thousand people per year. That is,…

Q: Assume that in a certain country, the rate at which jobs are created is proportional to the number…

A: Explanation: Suppose that number of jobs  = N Here given that, the rate at which jobs are created is…

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A:

Q: 2. An efficiency study of the morning shift at a factory (7 am to noon) indicates that an average…

A: Answer

Q: Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years…

A: represents the change in the average cost of a gallon of milk in the United States t years since…

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: Suppose that an lowa class battleship has mass around 54,000 metric tons (54,000,000 kg) and a…

A:

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

A:

Q: 4. For infants less than 9 months old, the relationship between the rate of growth R (in…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the amount present.…

A: Let,Decay rate = r = -dAdt                        negative because it's decaying/decreasingwhere, r…

Q: Suppose that a community contains 15,000 people who are susceptible to Michaud’s syndrome, a…

A:

Q: Suppose the depth of water in the lake at time t is given by h(t) = 5 -1/3t What is the average…

A:

Q: An electric company uses time-of-day pricing to encourage cus- tomers to use electricity during…

A: A linear equation is a equation with degree equal to one. A degree in a equation is the highest…

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: 8) The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is…

A:

Q: [2] The rate of growth of the bacterial population is proportional to the number of bacteria present…

A: The general solution of a differential equation always contains a constant of integration. The…

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A:

Q: A radioactive element decays at a rate of 5% annually. There are 40 grams of the substance present.…

A:

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

A:

Q: the income from an oil change service chain can be considered as flowing continuously at an annual…

A: Consider the function ft=10,000e0.02t. Since total income from t = 0 to t = 2 is represented by an…

Q: Suppose the sales of potato chips generates a profit at the rate P′(t)  =  10t ln(7t) dollars per…

A:

Q: Q.4 Suppose that electricity is draining from a capacitor at a rate that is proportional to the…

A:

Q: g) For how long do we have to invest $1000 at a rate of 2.5% compounded continuously to obtain a…

A:

Q: e the deer population P (t) in a small forest satisfies the logistic equation  ​dPdt  =  0.0225P −…

A: Solution;- dPdt=0.0225P-0.0003P2 ⇒dPdt=P0.0225-0.0003P ⇒dPP0.0225-0.0003P=dt…

Q: 2- An efficiency study of the morning shift at a certain factory indicates that an average worker…

A:

Q: A bacterial colony is rapidly expanding. It has 10 bacteria at time t=0 and 2000 bacteria at time…

A: As per our guidelines we only solve first question and rest of the question will be reposted.

Q: Ecologists estimate that, when the population of a certain city is x thousand persons, the average…

A:

Q: The number of cell phone subscribers in a certain country in the early 2000s was projected to follow…

A:

Q: A bacterial population B is known to have a growth rate proportional to B itself. If between 3pm and…

A:

Q: 17 It is found that the bloodstream concentration, C (in ug/mL), can-be modeled by C(r) T2 + 11…

A: According to the our guidelines we are supposed to do only first three subparts. Kindly repost the…

Q: (4) Consider the constant rate of decrease of a certain microorganism. At the start, there are…

A: We have to find the number of microorganisms that will be there after 45 seconds.

Q: A pitcher of buttermilk initially at 27°C is to be cooled by settling in on a place where the…

A: At time t=0 minutes, temperature of buttermilk = 270C   At time t=20 minutes, temperature of…

Q: 2- An efficiency study of the moming shift at a certain factory indicates that an average worker who…

A:

Q: b) Let at time t years, an industry consumes fuel at the rate of (2t + 9) million barrels per year.…

A: Given an industry consumes fuel at the rate of 2t+912 million barrels per year. If the total supply…

Q: 2- An efficiency study of the morning shift at a certain factory indicates that an average worker…

A: Given relation is: Qt=-t3+6t2+24t a). The worker's rate of production at 11 AM: So put t=3 in given…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A:

Q: Suppose the flow rate (in cubic feet per second, cfs) of a river in the first 11 hours after the…

A: We have given the flow rate of a river as a function

Q: (b) A company has an income stream with rate of income given by f(t) = 1 – 0.02t measured in…

A: Given: A company has an income stream with a rate of income given by f(t)=1-0.02t where f(t) is…