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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What is this speed limit? (We explore this problem further in Example 2.12.) The idea of a limit is central to all of calculus. We begin this chapter by examining why limits are so important. Then, we go on to …

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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...

When an object moves along a curve—or curvilinear path—in a given direction and in a given amount of time, the position of the object in the plane is gi...

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Using integral calculus, we can work backward and calculate the velocity function from the acceleration function, and the position function from the velocity function.