ch13sec3

ch13sec3 - 13.3 Arc Length and Curvature There are several...

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13.3 Arc Length and Curvature There are several approaches to finding the length of a portion of the graph of a function. In section 8.1 arc length is found using integrals and derivatives. From 8.1 (page 542), If ' f is continuous on [a,b], then the length of the curve is () ,, yfxaxb =≤ 2 1' b a Lf x =+   d x β In section 10.3, a formula for arc length is given for the parametric equations , but there are some restrictions (see page 656). , , xf tyg t t α == ≤ 22 dx dy Ld dt dt    t Arc length can also be found for a polar curve, 2 2 b a dr Lr d θ    d (see page 673 for
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