k, - uw-madison department of mathematicsterwilli/htmlfiles/hw8-3.pdfno. g" 3 date 0 ans...
TRANSCRIPT
No. J?,.3 Date /
A VlS
(0,)'(
(10) N frob veclvr: e."I-n~ 5 /'V'?Tn~~ (el N ~ )vn-t I-v L (g(l '(
( ~) "3 x -= I - , Z -, 5" -::: 3I
(~) .!.t I ~2')< +,2
(c) 'Vq -=-,2'i 1X==-/
( J) K, X (1k~ 1- ~ t- 2-+-~) :; /
x II -==/
3 \
01. 0.j-c~/
C1 ::= b C -::;- ;) C\..
)0 u-l- ~t- Z-Ct -==/ 1c:z=:::-/
C( ~~ b =- -J; G -:::' Yz
x - [~ h c d ]
a. +-b-i-C+~ =/
e<.-= 2. c
ol ~O
-=,Lj10 ;. C f- o -; /)0 z. c.. .f- .tt
,?C =",C:,
C. ..,,;. # L C{==-,9
----------No.
Date
(J11~vn
~ ~) ]p -I
, 5 5
H L.
a. +-' ~ .::::= I
a. =2-b
6\ -=:; /) b -;;: 'IJ
\
J.. 100p~- [; ;][; : J
i 100~: ::]
- j~ 1 J, Cooe~<po 40
'2.. 2- ,'; ~"0= - Lc;>o
+ l. "3 looH-~""'1 '" X P 3
11f?-- -)0 0
r-i-~ 1- IpJ
[; ;][;: ;;]~, «: )
No.
Date "3
(Jhl~V)1
51~ 1"86 27 2 + /2.0f'3 -=: fq~ .~ --L
(000
+ 1 () 0 I gO + 200~20 J [ ~zg 3-12
-:::; J --.L (000
3 ezo"20
-'"3 'O()O
If7-(,. 1. 000
FlY,). k 5v,A ~G (S J L<O\st , b
: ]
1
No.
Date
h w
p= H['~ Y
W J
p'3-=::- S-;2"1z 'I[~ J[ /] L
- I~- [h ] i713 I~
M-~ 1 If'? IS
- '3 1'1
Lot ;;11.. +
J~ , q
--
No.
Date 5
Re.&t.>Oh
x ~ [, I ~ '1-L
- I - t (0 ~ lC> 1
::; II)0
[+ +J 0.. 4-- 6 = I
WP=W o ::: IN ( P- I)
[c> ] = [- ~ 10 J r,3 ,3]0 L,S -,5
o -= -,3 C<.- t-, 5 j.
"5 A. -= S(f-4.)
84-==5
t\. -== 5h " -:;. 1?
No. g" 3 Date 0
Ans ReC\50n
\0
2 I p::::: '3
-[; J[~ +J5
- 2. 3- , -r , jj.- l2.5 2.5
\ f~ =
- 90 150 + Z t5 ] --LL- lOb t (,zr
~O + 1/'1' 90 +- "3 '"
I '10 q 11) -- -'[ ] r,2,r
11'~ q )/
f'i= Yf)][ IfD 0/3,] -'[I~D f,ZS'z
I~'t tlfl 1":/-'1 95"/
~c.'OD -+- :rHtto f2C.'Ot /c,fs,/15- ::: Z"1t g1S::::: Itl rj. 0 ---J-.,-z. ~'"\..V(¥<
No.
Date
,~
PI Jbl~
[-f +] +]J
w =vvP
0= W(p-~)
'\ !
- 1. C\... 2.
[+ ~J[;
1\10.
Date
I~
t\ (l 5
"ih.i.!.e v,
o ==
W=:;Lc~ {,
~04-c=
w(p-rJ
c
/
]
Re.q5crn
[0 o 1== [ ~ b c J -/
0
I
,5
-/
0 ~J 0
CJ
--
-
- b I
a-C.
C
( re-f)
0 --
I
No.
Date
[+ +J [~ .." ][::J
\
J
No. ~;:3
Date to
/-'\
f.-..,bleln AnS
l'f
[-f
[. ~ c -/ / 0[0 0 o ] - b ] -I .LD -2 "l..
I -I0 ~ J
0 - -t\...+- -'"3 c=3A..
10 -::: -z..c...:=: ..L60 a..- -z.,
_ c.. ::: I c;:;: .1a.. b -- ~7: c.
No.
Date tI
AnS
pic. LOiA./e-..- {Y 14A 7.A #t'\5 fr. ~ k.
0:::: w(p-z)
[OC'Oc>]=[~1o c otJ -I ;
() -, ,
0= -CL +-,1 d- a. - "Id.
o - O -I:, + , I ci.
o :::::.. b -c.
o :=: c - ,z.d2.. c= .. 2£'
(,,/ f ,,'Lt-,L +-1!c1=/
'] 01 -:::./ &>I:;":=:" z: J
J,-== 330 C - .!L?a
z.o 50
-- -
f,jNo.
Date 1:2
(]biew. AnS R<'e{5 or/
«e.a-Lll-4- rII ~~
tt /0 ~5
[ L~ 2, :, J ,5"Z~
< ~ ~c.
W=LCl-b c~]
[0 0 0] = rCc- ~ c ~ J0 -, ~ /~ 0 0 o -,,5 .... S 0
o 0 -,$',';'
\ ,!i " ~ S"" -/
... ~ a.= 15'A. 9~ = s! :::- ,~.b ~ t:i -:;: 7£•'I fA.
'Ie ::::; IOJ. , 'f c =- cJ.
b
( )" +- .Lt + I" + ..!t.. ) of = IT -, ~ y
$' 10c -Z) 2..3
~~
K,3No.
Date (3
Q. M+-c+ol=1
W -:::: vvp J- .J- 0P -T = -I ... z.
0 J- j..-/ "Z.
-, -z..
j.. .J0 '2. "Z.
0 0 -/
a :. tJ.
J... '\.. -b +- .L c -::. a '" ""L
-fc;..+~~-C=O
~b +-{:c':.JL
I -V
19
No.
Date
[
,I)
,. ,
P:J.I<rY'\ Al\s
~h,!.t Hit MIS'S &J5
r"'(J~ .!t- I p= [5 5 , " H
#'~4.. =-,~b
tc;c... '= ~Ob
tlt., <t b \
/,::::: S ~ 'i.= f
G- !J&[, ,r]P () , g ,Z
P-X= [-'~ ''1], '/ -,2
,'-'&i - IV/'
qq = 1>(,
tL ~ ~j,
6~..L ]
No.
Date
Ans
'2-1
\
.. "1-&i.-==- ,C;'
::r~ ~ {,j,
-1- C(. -==' " { /-4-1
,"$ &t. -z:= ~
"Z'l. ( q. ) R~"IIt....1' '1.
p==
;;:
(k Q NK~O~) ~ >.t )f ~ R >e
~ '* o ~)Y 0
( ~ ~ W)Jo )e 1lI
» ~ T(
(b) ~Qt ~ 2.
(;P ~
(:::.
0 )(t
0
)c
)0
)c
0
~
0
K: ;)
0'
»c
o
kJ
~
JIi1
)
No.
Date
AnS
(c)
No.
Date '1"
2.l.t (,TfII. f~,,"tn f' l~ If ~
v .....NI rrtlh j.. t~
5/,
..L -z. 3 1f= j. J
'3J
~ 0"3 z, z.. -, '1
_J.. .:z-P-I ::: ,J -' _.. --J
• '3
-)
( - cD ~ -,... -,
~dh W-;;-["t..6 CdJ
li rl f- c t-d ::::-/
_2- +-- .lJ:, ~ J-c.~t:;... ") , ~ ..j-
- 'lcz - ~" "2.
~ ---c'} et. J
I I I / -6 3 3 2 -r;, 0
"Z o -(,
1- t.-~ <j
0 j.. 1
..l""? "1
1
Z.-4j
0 _z
'3
, ~
..l1 ..i"1
1-"I I
J
.-l:J
_L.
l
+--~ of -;::; 0
1:::- d -e ~ ~
+'~c{if
== 0
/ o o o
~r31\10.
Date If
()blem A-Y\-s Re.q, $" C/'>1
2i1Jc~
j
Irz. '" ('1. + r;, (",?:>0 9 'I g
-2 r;'-:. t'l-z..r,0 -g -L 0
-2 ,.::I f« -2.',0 -2. ~-g 0
-I r: ~~ ~ '7'
,
b
rz C:-? I<t0 I 1 0 I 0 -8 -2- 0
0 't 9 f
, j rj
I ::::: r; -Iz.
0 / Lf a 0 -3 I 0
/ I6 i7 =- ~ -t-Pr;.0 0 30 0
0 0 -;)..1- g I'll ::::: f", - '1 rz.-3
f 0 -5 I 0
Lj 0 I0 .J1. fi I
-= fJ ~'"5
0 0 -,21 g -3 a 0 I 0
/ 5 I
/ 0 0 I 1- r; -= /jr-1fJ
0 0 0 0 (2'= r-z. - ltr:jI
0 0 I 0
il- I0 0 0 f - r; -::: ~ + J.rrj
5 ,d:::: -l- c~ b-::: tiz:. ..l
totD ~ 5
g~] No.
Date 1.-'1
flbielYl A-ns 12~')(/}'t
'2-'f I tNt;;.
, 2- -z.S 1
0 '3[1 3J '3 , ..1-to e,
')') 0 '$ "2- J'Z2
[-s 1..- ) J
P,L.S \
I
2. ~ r. t 'i ~.-
I -=t" g [0'"
roS~ ~
20
No.
Date
.., (, '1-t I ~. (,_., '-, I ~ I Cj _ •.
Date 2-1
,AnS
(b) ~~4
eel GP 5tJh " "} vrU.
z.. 'fsJ.J:e., ~u.Le
fE4--cA /y-t:t,,,~, n~ ~....,~ ~t<-n 'd ef II..e ~ t-tit
)
I), " 1,1t, .. _
No. F, '3 Date zz.
2.4
An5
[-a... J t-6
-
[ ,- et. ]
,0 [-+ ~J I,.. 1i' LCf T~ Yl= '(y b ;::; YJ
b -l I
= ..L - '}/y1 t + 31..f'1,-~
." + I -$
..!! 'I 9- - -.... ." ",-1 =141 1;'y
, ~-1....-6-a.
.....-
I
--
I
No.
Date Z3
, -J -~
p- -'--6 J
o -;: W ( P-.z)
-)( .J- 6'7 z:. 0
.XI ~ t.? '1
XI -::: b (1->-.)
U4- b ) ~ ?t
1\10.
Date
P-J- ~ /
b - ... -6
w;;- [)( J'1:C
w -::; Pw
-XT-~o-:;:O
X - '1 f'b c :;: 0
1 -{&t-H}l;=O
I
~J
l\lo.
Date z.s
/\.,~ , )b
'to = [, 't , S
[ , 7 ; S- , / J[ 0 , g , ZJ -= [5 ,yz ,.ili] ,. 2 0, i o 0{
, j .1.] :::: [/116 .- '13'1 ] ,'1... 0
o 0
1'10.
Date
Rett5n,
HfL f 1'r;T b j.<; e..-/rp>o
P ::: u[ ,:'S(PIJl M /3
::: r ,2)]f-I ,zS
-,JI J
, 2.> 4. ::: ,"1 b
'2.-) 'i ~Ja b
') ~ -:::- (, J,
) c;c. ~ " (L -r.,. )
Hct.-:::-- C