In the past few years, major earthquakes have occurred in several countries around the world. In January 2010, an earthquake of magnitude 7.3 hit Haiti....

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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...

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

Before stating the formal definition of a limit, we must introduce a few preliminary ideas. Recall that the distance between two points a and b on a num...

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...