2. An efficiency study of the morning shift at a factory (7 am to noon) indicates that an average worker who arrives at the factory at 7 am will produce Q units t hours later where Q (t) = -t3 + 4.5t2 + 15t. a. When during the morning shift is the worker producing the most units? b. When during the morning shift does the worker's rate of production start to diminish?

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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.