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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Toward the end of the twentieth century, the values of stocks of internet and technology companies rose dramatically. As a result, the Standard and Poor...

Review Exercises True or False? Justify your answer with a proof or a counterexample.

We can use integration to develop a formula for calculating mass based on a density function. First we consider a thin rod or wire. Orient the rod so it...

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Identities enable us to simplify complicated expressions. They are the basic tools of trigonometry used in solving trigonometric equations, just as fact...

The definite integral generalizes the concept of the area under a curve. We lift the requirements that ... be continuous and nonnegative, and define the...