Calculus 3 Lecture Notes, Section 11.4

Arc Length s as parameter. If a smooth curve C is parameterized by r (t) for t in [a, b] and if C has length L, then C can be parameterized by r (t (s)) for s in [0, L]. Example 29 Consider the Circular helix. Then and . Thus, the arc length function s (t) is given by: ( . Therefore, a formula for the helix using the arc length function s as a ... ................
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