MAC 2312 Lecture Notes - Lecture 10: Arc Length, Semicircle

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20 Jun 2018

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Tuesday

Arc Length June lzth

General

y=fc× )

,af XE b is a curve .

Can we find the length of The ~

curve ?/|

*yes ,use tangent line locally to apprx the length of

the curve

Arc length :fbaT+[Fc×)]2 dx

Example

Find arc length of y2=X3 between (\

,1) &(4,8)

•

¥-8

'×

' '×←t g. .}× 's

ftp.ED?ax=fYFgax

Sub u= it l§ ×du =I

when

#i. u=' 3¥SYgfdu=⇐t±u" II

k=t

a = 10

=( E) (it :( io .

'313 "

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