Theory and ExamplesUsing tangent fins to derive the length
Chapter 6, Problem 32E(choose chapter or problem)
Problem 32E
Theory and Examples
Using tangent fins to derive the length formula for curves Assume that ƒ is smooth on [a, b] and partition the interval [a, b] in the usual way. In each subinterval construct the tangent fin at the point as shown in the accompanying figure.
a. Show that the length of the kth tangent fin over the interval
b. Show that
which is the length L of the curve y = f(x)from
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