A population of insects increases at a rate 270 + 6t + 0.9t² insects per day (t in days). Find the insects population after 5 days assuming that there are 50 insects at t = 0. (Give your answer as a whole or exact number.) population: insects

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A: We have to find the insects population after 5 days.

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Q: a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect…

A: Hence,  the population of insects after 3 days will be 682.25 => i.e. approximately 682 insects…

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.