The population of a town grows at a rate proportional to the population present at time t. The initial population of 700 increases by 20% in 15 years. What will be the population in 35 years? How fast is the population growing at t=35?

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

A: Explanation of the answer is as follows

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

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Q: 1. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:- exponential function

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

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Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

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Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

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

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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…

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

A: according to questiondPdt=kP1PdP=kdtintegrate∫1PdP=∫kdtlogP=kt+C    where C is any constanttaking…

Q: The population of a town grows with a ratio proportional to the population at time "T". The initial…

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

A: Solution

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

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

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

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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.