physics.oregonstate.eduphysics.oregonstate.edu/~minote/courses/ph631/lib/exe/fetch.php?… ·...
TRANSCRIPT
oDo- tb
C zo'5
"€ ^fi,aufarffi.fn(
T" sluc-lr-€A",^\'ra,in-f
gtt*t,.rn? /.ur^g
4* ,t7au*,ot$'an "l
^,c.' vL /""t2- rVara;2
fit leoh,*;V,.o*'.
tl solrird Y'fk,,l = Q
\ corksE;er',gfoqrd9
vzS(.,4) = ot P'la' .
ea.As
tts.z -ft42- At -,9 "/ #t
sin otr d nI
hse f?,rz {-r.r*r'E tf l-taf d sirt A{
f{ solvi,g
il s.[v;n1 vz( (r,b) = c>
l\ s7{"o-':'n'(Qet*'fna;l€g 'v1o 4 eryo1lu/aca
t(*) =
?"(i=
use fr^r- A"''-'9 "l fitrQ?rQ*6)
7- &t'> ?r(-t6>
{- .L= O, t,2 ...
I
bF^"
(/t) = x
- t) ?r(x) = 'a (snt-3*)
@Nol,'*'/u.*t u-e- s.husz h-**, rLA- a-{.
W i^ -h^A 6lven
ead-;nanle tilt{4u^ '
€". exat'.gh: Sin ax e nY
= { ^,
J ( I
t#
ffi{*,ct+'dw
n"'S iS t ,,l"qf ,rna,lrUg, Our Clnorcz. 'un f VA'-?
.
sin&q dnJ ,1-. arL fi^L o*?
-rtr*r-tr*, lLa'f €o/ve V'fk,j) = O
a^4 ara- Wb 'ntb f'""*'-*"tr'at "(u ^/J-
Sefx-",A& fi'-"Xzn
r* sin a( E u(r)n(f)
T<Qtpu
a)
t
?,o
-t
?tot B (*) , 7 kl s, P"A) on +t* ra-n6e. * t (r <
l-,' ',H qH dx = o
I_,' P"k) P. (x) dx * o
I ' qk) P"(x) dx = e
-,
r n
b) Show -fha*
[,'lrru)l'a* ? z
zl-+Lc) Show +14at{t != o, 1,2
gS^,nn '*iA resLth /r,-,
I
n &) Pr{*) a'
+r^* fT Vuiz
=zlu'2L+ |
1I
p.onrohe- )c1fu,a+l^ar Tero ot ovre '
"flnn's
We'll uft
1- Le 7-o/-u Po!"ow'/s.
6Jr*.
Exua?ts !- rSpl,erir^-1- SheU "{rZ-clt'uS u" u:rfC9
aha.r7e a@nary a(6)(a z ;'w,^* Uh
3",^"*' >).
,'
-/7^1 cLta.Se- dus;fu
46,0) =
Note fuo* {-, o aa
fi'n{ 4G,e) o,*ictt
is sac'h fr q't
V, *tO
'+&-ft.* s[a//
+1^- o. ltr7"^"A'U re(a,$.a.-r
tto;t rebcrtv in e,ranfQ s
6)h ,prrJ s7s/ot'," l- ux.SW' Pe*1^f
tDrik f f r,0)
ia fL*t mt4as a sttrt^ o{ a{')Q/altd 't'-'c'41'a" t
s qs/un^(/
?1(r.'6)
= O, l,Z---
-+O a-+ r)a
brf (Q+r) ?utr-.&)
fG,o) Br'( ut)
I
hrE? /- c (.t/hz)n 4e-'-' ia +'* sa'au'atrtvv" cLrQ-
- t4/pet/ h 'uod-L t""L 8'c s
Ar=Q
=) Q^rr,,u
4n*,^-4=zl
0n t1'- Euhcz ol t'^. shel f 6' d
ll/e cd*r ^t*a -ha' b*' aaV anebh'an %
re{hY
Ah 4=o , B==o, 1= o "'
to*',",o = q4 Bo' r-z ?'(*6)