MATH 2B Chapter Notes - Chapter 8.1: Arc Length, 32X, Becquerel

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: George Donaldson

Document Summary

Arc length refers to computing the length of a curve. At its simplest, the idea is nothing more than distance = z speed. Suppose you have a particle which travels along a curve y = f (x) between x = a and x = b, in such a fashion so that its x-co-ordinate is a measure of time. That is, at time t the particle is at the point (x, y) = (t, f (t)). y. P14 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14. We divide the interval [a, b] into equal subintervals of length x = b a n . Viewing x as time", we imagine a particle travelling to the right along the curve in such a way that i x seconds after starting, the particle"s location is the point. It should be clear that the particle has to move faster whenever the curve is steeper.