Q1. In a study of Bacterial Growth, it is assumed that, a culture initially has Po number of bacteria. At 1 = 2 h the number of bacteria is measured to be Po. If the rate of growth is proportional to the number of bacteria P(t) present at time t, determine the time necessary for the number of bacteria to double.

Q: A culture contains 1400 bacteria initially and doubles every 50 minutes. Assuming that the rate of…

A: Consider the function that models the number Pt=Aekt=B2tC Here, the objective is to find the…

Q: The population of Canada geese in the Niagara region is increasing at 2% every year. In 2003 it was…

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Q: The number of bacteria in a culture is given by the function n(t)=940e0.45tn(t)=940e0.45t where tt…

A: Given,           The number of bacteria in a culture is given by the function…

Q: Q5. A radioactive material decays at a rate proportional to the amount present at time t. It is…

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Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

A: The function is P(t)=0.02(12+2t)3/2+1

Q: The value of a computer t years after purchase is v(t) = 4000 e - 0.25t. At what rate is the…

A: To find the rate of the computer's falling after 4 years when value of computer t years after…

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

A: given that pressure and volume are related by the equation PV1.4=C and a certain instant of time…

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

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Q: The value of a computer t years after purchase is v(t) = 3000 e -0.35t At what rate is the…

A: Please see the answer in step 2

Q: The value of a computer t years after purchase is v(t) = 4000e , At what rate is the computer's…

A: we need to find rate of change with respect to time of v(t)

Q: 1. Given the equation, y = 30(1.25- .5)^x; does it represent growth or decay? What is the rate of…

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

A: Given expression is PV1.4=C   ......1 Where P is pressure, V is volume and C is constant.  Pressure…

Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

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Q: Park service personnel are trying to increase the size of the bison population of a large park. If…

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Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 3t² + 27t +…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The gross domestic product (GDP) of a certain country is projected to  be N(t) = t2 + 2t + 50 ( 0 ≤…

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Q: The temperature in a laboratory is maintained at 20°C. A warm bath is left to cool down and the rate…

A:

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Let's find.

Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A…

A: This is a problem of modeling and IVP.

Q: 4. The population of Florida (in millions) in recent years can be approximated by p(x)%3=…

A:

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

A: We use differentiation and integrations to solve this problem.

Q: Q1) The growth rate of a certain strain of bacteria is unknown, but assumed to be proportional to…

A: The exponential growth or decay is modelled using the formula: Nt=N0ekt, where N(t) is the…

Q: 5. If P pounds per square foot is the atmospheric pressure at a height of h feet above sea level,…

A: P=2116e-0.0000318hFormuladdxex=ex

Q: The carbon monoxide level in a city is predicted to be  0.02x3/2 + 1 ppm (parts per million), where…

A:

Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A…

A: To find the value of C

Q: Let C(t) be the concentration of a drug in the bloodstream. As the body eliminates the drug, C(t)…

A: Given, C’(t) = kC(t) We have to calculate the concentration at time t also calculate the time when…

Q: The number of bacteria in a culture is given by the function n(t)=930e0.15tn(t)=930e0.15t where tt…

A: Comparing these two equations we get: P=930, r=0.15 So, continuous growth rate = 0.15= 15% And…

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

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Q: THe model for the growth rate of tumor known as the Gompertz Tumor Growth is given by the following…

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Q: Q1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

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Q: 1. The value of the car, x years after it is purchased, is given by the following equation: 27000…

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Q: The rate of change of the number of coyotes N(t) in a population is directly proportional to 650 −…

A: Consider N(t) as the population of the coyotes after t years. Consider the given statement as the…

Q: The value of a computer t years after purchase is v(t) = 4000 e - 0.45t. At what rate is the…

A: Given, v(t)=4000 e-0.45t is the value function after t years. and we have to find the rate of value…

Q: A water tank has 142 gallons of water, At first, in t=0, a solution with 1/6 lb/gal of a chemical…

A: it is mixing problem we use linear differential equation to solve this question.

Q: With U.S. Census Bureau data (actual and projected) for selected years from 1960 to 2050, the rate…

A: Find the second derivative of P

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: Park service personnel are trying to increase the size of the bison population of a large park. If…

A:

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

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Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

A:

Q: A culture initially has P0 number of bacteria. At t=3 hour the number of bacteria is measured to be…

A:

Q: In the theory of learning, the rate at which a subject is memorised is assumed to be proportional to…

A: The subject to be memorized is given by At at time t. The total amount of subject to be memorized is…

Q: A culture initialy has N mumber of bacteria. At t = 1 hour the mumber of bacteria is measured to be…

A: Let N be the number of bacteria at time t. The rate of increase which is proportional to N = dNdt…

Q: The number of bacteria in a culture is given by the function n(t)=960e0.4tn(t)=960e0.4t where tt is…

A: Exponential Population model

Q: A culture contains 1400 bacteria initially and doubles every 50 minutes. Assuming that the rate of…

A: To determine a function P(t) that models the number of bacteria after t minutes.

Q: The population of a slowly growing bacterial colony after t hours is given by p(f) = 4t² + 30t +…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) The rate of change of P is proportional to N. When t = 0, N = 250, and when t = 1, N = 400. What…

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Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: The rate of growth of a fish population was modeled by the equation G(t) =…

A: Consider the given: Gt=90000e−0.6t1+5e−0.6t2

Q: A culture contains 2000 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

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Q: Q.3. The rate at which a body cools is proportional to the difference between the temperature of…

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