Toto
Eff
EEE
'
Itoi
2019
LI
LEHI
71011kt
*
I.Ca
)
f
's
dx =f
!zfExt¥)dx=
(
EG
-x)
" -4G
-x)
"]
!
= -I
(b)
log
x=t It'EHI¥
fee-×dw×g×T=
f
!
off
=(
2ft
]
!=2(rz
- t)
(
c)
EET KIEIAIE
f
¥*=f¥e
,DX = f.
It
= loglittle
C =log
(
Hex)
t C#
Hoots(d)
Ctanxtl
)
' dxtIII
:
Ctanx
- 1)3dx
=Sti
;
I
Ltanxthiltanx
-1)
3)
dx=o
xD g-# zf
!
Xdy
= fol(
s -ry)
-dy =f
!
(
g-bryty )
dy
= g -(
4y%
)
!
+I
=Iz
r×tB⇒
EE
. O 4 9¥3
(a)
f-(
x) = It Sinxcosx = It sin 2x >I
> o olEE fEEEN
-tot-OT, ( 9¥71
-
Itt
)
OI Fit 7E2HEtet.
(b) X= Htt
KHERI
E
fo
'Tfix
,dx =f
!
tfitidt
=(
tht ))
!
-fotfltldt
= IT' -
f
!
(
t ti
)
dt =Iz
' -f
!
theft
at =2-
it
#4 (A)1=1
!
flxldx =f
!
#
e-Adx
=f
-Ee
-TX)
!
=I
⇒ ⇐ z x --E E.EYE o FEME(b)
Efx
)
=↳
xftxsdx-forxe-wdxtfozte-2tdttf.EE/-tjo-fgzte-2tat
It
nte
!
+
Spe
-stat
=L
-Ie
't
]
?
=I
2 01¥
(c) 810101 OFF to-HEHEto't Jot Gly)dy =P
(
Yet
)
=P
(
TXEt)
=P
(
X Et ')
=f
!
fix)d×⇒
GH) = ztflt ') = 25 't it
flatfeet
. ze-'Y y>o ELTZTH 919 )={
o YEO # 5 Y'(
t) = 40 -fo
YH) ,Yuk
1000 I¥7111721122
THIEF
HEH -ddt(
eylt
))
= estY'
ft ) +fo
eyet
, = e(
y 'Hit
#
yet,)
= 40e¥
E
74¥
'ttot
eyet
) = 2000 e toget
.Yw
)=1000oz
olTOI
C= -10000kt
. 54-2thy
Yett
)= 2000 - 1000
e-¥0
0kt .
ytt
) = 1500 E TEE
=I
=e-
1092 Zz 017¥toHotTHEE
t = 50 log2(
E
)
Iott
'IZQI
0¥011.5kg
0kt . # 6.(a) F
YEH : A =(
Yf
)
E At II 012101 AEI(b)
TA'
=AKI
010¥ ,AZ
A'
I =A'
A'
= As-_ I 011A=AI=AA2=A3=
I(c)
T I = det(
A-Att At)
= det(
(ATI)At)
= det(ATI)
- det(
At) OKE det(A)
= deft At) to. ELTZTH
AE
Itto#2¥
(d)
F
HEH : txt toH2¥ A=L-1)EATA
=(1)
= I 017401 det(A)
= -I(e)
T det(
XI - B-'
AB
)
= det(
B-'(
AI -
A)
B)
= det(
AI-A)
olEE
FEET
ettoothtolHey
#7 (a) AEI 076162101 BET C21-71-2161-01 , B = BI = B(AC) =
(
BA)
c = C 0kt. EEt2tH OF ZEE ¥961 -Et. (b)
AB(
B-' A'' ) = A(
BB")
A-' = AA -' = I 011(
B-'A'' )AB = B-'(
A-'A)
B = B-'B = I OIQZ AB El OF ZEE B -' A-' 0kt. #8 det(A)
= I , det(
(AB) ')
= 2(a)
2 = det ((ABY)
= det(
ABAB) =(
del-A)
-(
defB)' = det(
B ')
: det( 134=2
(
b)
(BA) -= BABA = A-'( ABA B) A =(
f
7)
(
?f)
(
f
f)
=(
Y}
)
#9. (a) det(
RI - A)
= det(
¥
)
= r' - trio =(
r-2)
(
r- s)
⇒ ri - 2 , r, ⇒ ① res :KI
-A)
(f)
=( I
)
(g)
=ta
-38)
--(8)
⇒ a- -2b in --fi
)
②
res :GI
-A)
(
81=(77/11)--4973
)
=L
:
)
⇒ a- b iv.=L
:
)
(b) xo --G)
=L
:
i
)
⇒LIKE
,it
-'i'
f-
Eli
's
')
= -344)
ice 's . a-I
(c) Xn = Axn-i = A'xn-z= -- - = AnXo = A"
(
Ivi
t Vz)
=FAV
,-1¥Any
=I
riv
,
-1¥
riv , = F-(4)
t "(
t)
#to Cal OCP. get on THEH
' Foto#
Ef
M=(
'IP
Ig
)
E
12764Eat. 12-101(
t-P P) (
f)
=(
t)
0171ozEIHL
' Efodtot E0,4ft
. q t-gZ
, 101E
'T'M 8oz of -I I,
Eh
IE
't¥9
EH22401FIE
oleo't TOI,EEE
EKIKIE
to#2¥ It E l -P-of 0kt .
P. 870 Od 171041 Elton
E
Eff
'd I , I-P-gE
ITE
F
Fit
. 54-21-H
HELI
-E
E,
Eff
'd 1 , I-P-GZz
7-
Ect.
(b)
l
l-P-81 El OIEI 101 FAHtot E.HohlolI,
IFNI
E
'TKitt EhlEITHNE
l-P- Gt -I
,
Z
P-181=271- Elo-Iof
'
Etet.
ocp
,get
all THEH Ptf
#
201240¥
,
post
grit
¥4041
1014-
40¥
Ett
.
Etta-H 101