(i) A business manager determines that t months after production begins on a new product,the number of units produced will be P thousand, where P(t) = 6?² + 5? /(? + 1)²What happens to production in the long run ?

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A: We will find out the required values.

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A: I have provided solution in step2

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A: Answer is following.

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A: Solved below

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A:

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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.