By drawing a smooth curve through these points, we obtain a fairly good picture of the graph. ... Just because the graph of a function is drawn as some curve in a coordinate plane, it need not follow that all such geometric quantities as length, ... It is usually very easy to determine which geometric quantities do have useful interpretations, so easy indeed that we often fail to make explicit mention of the fact.
|Title||:||Calculus with an introduction to linear algebra|
|Author||:||John Gilbert Hocking|