toto eff eee itoi - seoul national university...toto eff eee 'itoi 2019 li lehi 71011kt * i ca)...
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Toto Eff EEE 'Itoi2019 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 = log little C = log ( Hex ) t C
# Hoots
(d) Ctanxtl ) ' dxt III: Ctanx - 1)3dx = Sti; I Ltanxthiltanx - 1)3) dx=o
xDg-
# z f ! X dy = fol (s - ry)-
dy = f ! ( g - bryty ) dy = g - ( 4y%) ! + I = Izr×tB⇒EE
.O 4 9
¥3 (a) f- (x ) = It Sinxcosx = It sin 2x > I > o ol EE f E EEN- tot- OT , ( 9¥71- Itt ) OI Fit 7E2HEtet .
(b) X= Htt KHERI E fo'T fix , dx = f! tfitidt = ( tht ) ) ! - fotfltldt = IT
'
- f! ( t t i ) 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 -HEHE to 't Jot Gly) dy =P ( Yet ) =P (TX Et ) =P (X Et' ) = f! fix )d× ⇒ GH) = ztflt ' ) = 25 't
it flatfeet .
ze- ' Y
y > oELTZTH 919 ) = {
o YEO
# 5 Y'( t ) = 40 - fo YH ) , Yuk 1000 I ¥7111721122 THIEF HEH -
ddt ( e ylt )) = est Y' ft ) + fo e yet , = e ( y ' Hit # yet , ) = 40 e¥ E 74¥'t tot e yet) = 2000 e to get .
Yw ) = 1000oz ol TOI C= - 10000kt .54-2 thy Yett) = 2000 - 1000 e-
¥00kt .
ytt ) = 1500 E TE E = I = e- 1092 Zz 017¥to Hot THEE t = 50 log 2 ( E ) Iott 'IZQI 0¥01 1.5kg 0kt .
# 6. (a) F YEH : A = (Y f ) E At II 012101 AEI
(b) T A' = AKI 010¥,AZ A' I = A' A' = As -_ I 011 A=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 It to#2¥
(d) F HEH : txt toH2¥ A =L - 1) E ATA = (1) = I 017401 det (A) = - I
(e) T det ( XI - B- ' AB ) = det ( B - ' ( AI - A) B) = det ( AI - A ) ol EE FEET ettoothtol Hey ,
# 7 ( a) AEI 076162101 BET C 21-71-2161-01,
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)-
( def B)'
= 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= - - - = An Xo = 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 12764 Eat. 12-101 (
t - P P ) ( f) = ( t ) 0171oz EIHL'
Efodtot E 0,4ft .
q t - g
Z,101 E'T'M 8oz of- I I
, Eh IE 't ¥9 EH22401 FIE oleo't TOI,EEE EKIKIE to#2¥ It E l - P - of 0kt .
P . 870 Od 171041 Elton E Eff 'd I,I - P - g E ITE F Fit . 54-21- H HELI - E E
,Eff 'd 1
,I - P - G Zz 7- Ect
.
(b) l l - P - 81 El OIEI 101 FAHtot E.Hoh lol I,IFNI E'T Kitt Ehl EITHNE l - P - Gt - I
, Z P -181=271 - Elo - Iof'
Etet .
ocp , get all THE H P tf # 201240¥,post grit ¥4041 101 4-40¥ Ett .
Etta - H 101 EEN E'' I' HIT EM iefot TYEE EINE Mt ( Yf ) off .