Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days. The current population of the colony is known to be 584 mosquitos; that is, P(0) 584. If P'(0) 180 mosquitos per day, estimate the size of the population in 5 days.

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A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

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A: To determine the length of the curve, y=lncos x, 0≤x≤π4.    

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A: We will find the integration of the given function.

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A: Topic = Trigonometry

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A: NOTE: Refresh your page if you can't see any equations. . here we have y=4 when s=5, s'=300 km/h

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A: