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

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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
.
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