# MATH 1XX3 Lecture Notes - Lecture 12: Polar Coordinate System

16 views2 pages

4 Feb 2016

School

Department

Course

Professor

Polarcoordinalesl

Problem :Consider the spiral given by r=O for OEOE 'T AWAY

1) Find the area between the curve 8x.axis

2) Find the arc length

1) A=f

"

trsndo 2) fifth do

to"tso '

do =f"

ted

t.to#=Tf=ftAdo

.

=Frito +'skH+iFB "

=Et +thrift Fty

Find area enclosed inside r= -Koso and tin circle r=1

A=f÷÷fl -Zcoso

'

-I

'

)do Points of intersection

=

=

=.200=1

=f¥÷'

zltcoio

Ddo cost -'s

=f¥±t2ap•

.

the

cos ''s't Econo o=2÷+y¥.

=finest

's

.to#ttDdo

=f÷¥d+cos2o

-do

=ftp.jlcos2otttdo

=sina.FI?g=FtF

.