The population of mosquitoes of a colony at a rate proportional to the population present at time t.  The initial population of 700 increases by 13% in 5 years. What will be the population in 23 years? How fast population growing at t=20?

Q: The development of AstroWorld ("The Amusement Park of the Future") on the outskirts of a city will…

A: Given: city will increase the city's population at the rate given below in people/year t yr after…

Q: (a) A radioactive substance has a half-life of 20 years. If 8 mg of the substance remains afte 100…

A: We will use radioactive decay formula ..

Q: Two quantities increase exponentially with growth constants k = 1.2 and k = 3.4, respectively. Which…

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Q: The population of a certain kind of insect change directly proportional to its present population at…

A: The growth model will be modeled by : P(t)=P0 ekt  where, P0 : initial population P(t) : population…

Q: A population of bacteria grows according to the law of uninhibited growth, A(t) = A0ekt. Initially,…

A: The population of bacteria is given by: A(t)=A0ekt where: A0: Initial population of bacteriak:…

Q: A mathematical model for world population growth over short intervals is given by P = Poet, where Po…

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Q: 0 A mathematical model for world population growth over short intervals is given by P = Poet, where…

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Q: Population A increases at a constant rate of 4%/yr. Population B increasesat a constant rate of 500…

A: Population A increases at a constant rate of 4%/yr. Population B increasesat a constant rate of 500…

Q: The fox population in a certain region has an annual growth rate of 8% per year. In the year 2012,…

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Q: Year 2012 2013 2014 2015 2016 Deaths due to Lysol injections | 725 853 1046 1233 1453 (a) Find the…

A: The average rate of growth from 2013 to 2014 is given by: 1046-853=193 The average rate of growth…

Q: The exponential growth of the deer population in the country can be calculated using the model…

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Q: A population P of insects increases at a rate proportional to the current population. Suppose there…

A: In the given question we have to find the expression and population of insects after half year and…

Q: ioactive plutonium has a half life of 24,100 years. The mass of plutonium in a sample (in g) present…

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Q: Three thousand young trout are introduced into a large fishpond. The number of trout still alive…

A: The model for the number of alive trout after t years is       N(t) = 3000(0.9)t

Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: 3. A stone is thrown upward from an initial height of 200 feet with an initial velocity of 40 the…

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Q: (8) The population of a town grows at a rate proportional to the population present at time t. If…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.