A biologist is conducting an experiment that involves a colony of fruit flies. (Biologists frequently study fruit flies because their short life span allows the experimenters to easily study several generations.) One day, there were 2,510 flies in the colony. Three days later, there were 5,580. (a) Develop the mathematical model that represents the population p of flies. (Write your model in terms of t, where t is measured in days. Round the coefficient of t to seven decimal places.) p(t) = (b) Use the model to predict the population after one week. (Round your answer up to the next whole number.) flies (c) Use the model to predict when the population will be double its initial size. (Round yo
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
A biologist is conducting an experiment that involves a colony of fruit flies. (Biologists frequently study fruit flies because their short life span allows the experimenters to easily study several generations.) One day, there were 2,510 flies in the colony. Three days later, there were 5,580.
(b) Use the model to predict the population after one week. (Round your answer up to the next whole number.)
flies
(c) Use the model to predict when the population will be double its initial size. (Round your answer to one decimal place.)
days
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