An influenza epidemic spreads at a rate proportional to the product of the number of people in-fected and the number not yet infected. Assume that 100 people are infected at the beginning of the epidemic in a community of20,000 people, and 400 are infected 10 days later. a. Write an equation for the number of people infected, y, af-ter t days. b. When will half the community be infected?
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.
An influenza epidemic spreads at a
rate proportional to the product of the number of people in-
fected and the number not yet infected. Assume that 100 people
are infected at the beginning of the epidemic in a community of
20,000 people, and 400 are infected 10 days later.
a. Write an equation for the number of people infected, y, af-
ter t days.
b. When will half the community be infected?
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