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The past several decades have seen a growing awareness of the need for comprehension of advanced mathematical concepts as background to many disciplines. As a result, many colleges are requiring an increasing percentage of students to study calculus. The goal of this book is to provided a complete and self-contained presentation of the basic mathematical techniques and ideas required for the successful completion of a calculus course. The most important...
Description
When you have a piecewise-defined function that includes a variable, you can find the value of that variable that makes the function continuous. Just plug in the value where the "split" occurs, then set the remaining two functions equal to one another and solve for the remaining variable. You're basically just finding the value that makes the left- and right-hand limits equal, which would make the function continuous.
Description
Environmentalists, meteorologists, economists, and people in many other disciplines have always been interested in the dynamics of variables, or quantities that change-for example, the number of polar bears that inhabit a certain region during the summer, or the number of tickets sold during a movie's first weekend in theaters. Functions are indispensible to that kind of sampling since they represent relationships between variable quantities. Hosted...
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