In this chapter, we review all the functions necessary to study calculus. We define polynomial, rational, trigonometric, exponential, and logarithmic functions.

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Iceboats are a common sight on the lakes of Wisconsin and Minnesota on winter weekends. Iceboats are similar to sailboats, but they are fitted with runn...

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Rate of change is one of the most critical concepts in calculus. We begin our investigation of rates of change by looking at the graphs of the three lin...

The basic idea of the optimization problems that follow is the same. We have a particular quantity that we are interested in maximizing or minimizing. H...

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The Mean Value Theorem for Integrals states that a continuous function on a closed interval takes on its average value at some point in that interval. T...