I A bh GI, t..,,,-'J(.f.first.math.aau.dk/eng/static/mma/?file=notes/l06.pdf · A re.P sU-.Wt...
4
- - -- 6. Sess (O YJ : A re.tL5., Sl<. ~ S CV1 d.. "TI1te3 o?.Æs 1 T he cOYl5.ept- o f_a.-rea.., -- - -- - ~ Ar'A, crt GI,t..,,,-"'J(.f..i - . I A = t bh -- b -- Aru o f~ <2l..J-8 o V/lt-L f lYlA.- r-e- : . D l' ve d..~_t>l t o 11 (Hot o ve. r /.A..ffi\Vtj -trt't:>.-';Jl.f.JL . .s/.(.W1 the. tt-r~s of -tl-?e.re. t;r-t'I'{,""tfjLe..s. -- -- -- -- - - - ]J LI-1scrc.beL r0Ly,f7H - - --- -Q l: irCVlWl!CrL bee( 'PdL!J~OVt - - - - - - -g.,..U:) ~ Cl,CR.) ~. GL(Q..) :tf P CU/fd. Q- ha.l/e. ~A.I1J Std.es I ~tt. $h()rt) t-h~h CtV/Å. et.(&.) r:.L().J~ly f?t..pOnnc. (~tl_~- ~ tFJ-t c.l(&) ,- -2.. --- -- -- --- --- - AretW k-Me.y- fj rtep h~~ I Le;/; t ex) he. ~ co",-tt h lA.- o fA.~ de;j-t'n eJ.. Oh the Lkt--e.'rV~ -- }1C>11 - VI e.JA.;t(v€.- +~.A1C--t('''h ~}..~l .'1= fiK) DiVL'tAe- ~ Ll1te of _~()(.,L L~~~_- --- b - -- - ø
Transcript of I A bh GI, t..,,,-'J(.f.first.math.aau.dk/eng/static/mma/?file=notes/l06.pdf · A re.P sU-.Wt...
- - --
6. Sess(O YJ : Are.tL5., Sl<.~ S CV1 d.. "TI1te3 o?.Æs 1
T he cOYl5.ept- of_a.-rea.., -- - -- -
~ Ar'A, crt GI,t..,,,-"'J(.f..i- . I A = t bh --b
--
Ar u of~ <2l..J-8o V/lt-L f lYlA.-r-e- :
. Dl' ved..~_t>lt o 11(Hot o ve. r /.A..ffi\Vtj -trt't:>.-';Jl.f.JL
. .s/.(.W1 the. tt-r~s of -tl-?e.re. t;r-t'I'{,""tfjLe..s.
-- --
-- -- -
- - ]J LI-1scrc.beL r0Ly,f7H - - --- -Q l: irCVlWl!CrL bee( 'PdL!J~OVt- - - - - - -g.,..U:) ~ Cl,CR.) ~. GL(Q..)
:tf P CU/fd.Q- ha.l/e. ~A.I1J Std.es I ~tt. $h()rt) t-h~h
CtV/Å. et.(&.) r:.L().J~ly f?t..pOnnc. (~tl_~-
~ tFJ-t c.l(&),--2.. --- --
-- ---
--- - AretW k-Me.y- fj rtep h~~I
Le;/; t ex) he. ~ co",-tt h lA.-o fA.~
de;j-t'n eJ.. Oh the Lkt--e.'rV~
--
}1C>11- VIe.JA.;t(v€.- +~.A1C--t('''h
~}..~l
.'1= fiK)
DiVL'tAe- ~ Ll1te
of _~()(.,L L~~~_- ---b
- -- -
ø
----..'- ---- ----
~ h l.J- -the. S"t.Wl 0-1- -I::tte. e:t-r~.r
(}f -b"'e-. ih.sc.r{.~ rect:C<.~ Let..f.
-- --
- -
--,~
--
b
~ ~ A .~- - - - -f'I
<::." d. e.-r e...c:t "JMRL ~~.~
- - --.2 vel'"e.riL' ~ A:t ~
1
2L.
---
- - - - -
~ -Lf2et~---L~-t a-, -) (:li. J ...J-a-Jq b€- rea.,LoIA..~ be.r_~ ,h e..11)h
(; {;ti = lÆI ~:t: \\ \ + Cl~ .(, ::: I
-
-
-- -
Ex. - 2..'7> + 2..!J::+ 2..oS + 2. ~ +-2 . 1- ~ S O
Ex. - ~"'" - ..1- + --~- -[=7)I -.:.. + ~ - /6 - 2S..~ - - t --~ 1>2.k.= I
I--36
-- -
s- . 2.k- Lt.,={
- --'F-2: t(,:3
----
(gJ.,
Y'. (O-.;. + hi ) =1.=1
- - -
---- - - - -
--- --- - --- - ---
-- - - - - - --- - - --- -- - - ---
- - - -- -
f() r WI"t ltu :n (1-1+1)
= --- -.2..- - - - - ---
- ----
-- -
---- - --- -- -
--- --
. 3L - hZ: ln +152.-
---#:
- - --- --
- - - -- - --- -
- - --joo
-- -- Ex.__~ lt.=,
-- - -
- IOp. I()I = So S().2..-----
---- Ex.100 - 100 --'110 - - - -tot)-
~ (g (' + I) - ~ ~ i- 2 , = ~ I L + 100 =l=t ,:i ~;I ;;/
---
----
- - - - --
- -
- ---- ----
A r e.P sU-.Wts
.bet; +Cx.) he- (;L COIlli-t""~Or-t..~) Y>OVJ~_I1~JtL-/;cv~ ClV1Å ihc.re.A-S('~---
-t-~l-1 G -tLO" _tA f-f i J'H!.J. OVl th e i vrte..rva..1. [et J b L --
, '-
---e---.-
---
x,- - --
--D." ,
6X
s Vt-hiVlt-e.r- V~ Ls
b-eL):}
Ub , X i 1-/ 1 0+__-'RP~ have.--bke ~\~h-7e LeViJ-th
x. == Cl. + L .6.x- L
Uh der e.s.-tt VVLd~
L:::v5. =-
~A.-
AJ.1 - 6 k = ~x. l +--(6)-~ ~ O a.~ tI_-+ Od «-
Sihc.e Å-h - ~ A- ~ Ah _Tor- ed l Y1 / L't f-olloWJ -th~t
~1t7e.. OtreOL lA.~tJ.e,y -&~~ J y"-.,ph LS --f
A = Lim 6", LL'~ 4-~-11-7 fX) I-t ~ 00
..--
- --
Note th~t
SVtLb~h~t
b-eL-k:1~=
----
--- - ---
- -
- --
---
~ .JI.LP- I?Irl'~ SVt~ s' r-e-Le.vd-I-t.t: '?-~
--- -- --...- ---..,
..x:--
l:l.d - -+-( )c) ':::; 5'.s t'~ x +- X 2. .
--" --
(f)
- - - - - -
- - --
Ah AV) :--
>--f(-- f-()- - 1-- - - - -
.J
