In 2010 a particular factory produced computer hard drives at a rate of f(t) = 4.4e0.0175t thousand drives per month where t is the time in months after the start of that year. In 2011 the production rate was g(t) = 5.4e0.0164t thousand drives per month t months after the start of that year. Compute the area between the graphs of these functions for 0 sts 12. (Round your answer to three decimal places.) thousand Interpret your result in this context. O This area indicates the total number of hard drives produced in 2010 and 2011. O This area indicates the total number of hard drives produced in 2010. O This area indicates that fewer hard drives were produced in 2011 than in 2010. O This area indicates the total number of hard drives produced in 2011. O This area indicates that more hard drives were produced in 2011 than in 2010.

Q: Starting with the graph of f(x) = 4^x, find a formula for the function that results from: a.…

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A:

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A: Image is attached.

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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.