A community grows in such a way that t years from now, its population is P(t) thousand, where P(t) = 51 + 100 In(t+3). How long does it take for the population to triple its initial value? Type your answer here What is the average of growth of the population over the first 20 years? Type your answer here

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Q: A cat scratches a small hole in an inflatable mattress at timet = 0. Once the mattress is popped,…

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Q: A bacteria culture grows according to the formula of A(t) = 50(2)z. At what rate is the culture…

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Q: The population of a certain inner-city area is estimated to be declining according to the model P(1)…

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Q: The current student population of Hartford is 1500. If the population increases at a rate of 6.3%…

A: Given that,the current student population of Hartford is 1500. The population increases at a rate of…

Q: Based on premilinary reports by geological survey team it is estimated that a newly discovered gold…

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

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Q: PLS HELP ASAP ON ALL GIVEN QUESTIONS PLS

A: (a) Intensity at a depth of 3 m = 5.9 units  (b) Intensity at a depth of 5 m = 0.9 units…

Q: r(t) t t² + 1

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Q: The population of a certain bacteria can be modeled by P= 50(1 + r) where t is the time in hours.…

A: Definition used -       Population growth can be given by the following equation -…

Q: Suppose the population of rabbits can be modeled by the function  P = 37 · (1.31)0.2t , where t is…

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Q: The population of 50 wolves was introduced into a forest in the year 2000. The population is…

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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.