MATH 166 Lecture Notes - Lecture 3: Plane Curve, Asteroid Family, Anaplastic Lymphoma Kinase
10 Feb 2018
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The term curve is used for the graphs of y=fk ) or x=gly ) 11 y el is a plane curve continuous. Curve . derivatives on curve is smooth if it has on. ~~ smooth be found by pythagorean thm : length of a straight. Dytyz - y , breaks / at this point ( xz , yz ) ( by )2. ,y , ) y , )2 smooth line can. What about the arc length of a curve. Locally , a smooth curve looks like a straight line . So we can approximate its arc length by using lines . Consider a smooth curve given by y= flx a _< . [ a. b ] into nsubintervals by means of x ; a=xo< Hsing this partition , we can cut the curve into n pieces with corresponding end points. Pn afxo t tz 1 lxk he kk+ lxn.
