MATH UN1102 Lecture Notes - Lecture 12: Length Function, Ruan, Vithoba

• School: Columbia University
• Department: Mathematics
• Course: MATH UN1102
• Professor: Nathan Dowlin

Document Summary

Ex ) write down ( but do not evaluate ) from la , hall to ix , full integrals representing the arc length function (a) fix) - Sink ) f-itt = cos it ) htt cos. Write down ( but do not evaluate) an integral f- (x) = tx from ( 1,11 to 14,21 representing the arc length of f- txt =l zrx f- ( x ) Suppose fall 20 f- txt continuous on la , ( z. A t c " t cr t cs ( not exact ) Theorem : the area of a cone is mrl r. Mr , hi ta: : ii: "t:: he . + l) b- =l l , t l l , = i ttr l t tra l -17 . = it r , let it re l. = it ( r , th ) l. " a :# "ihr. says = 21t y v 1.