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CHAER.) ) 000 000 000 00 k b) 000, 000W 000,000 W 000,000 W 00, 000 W W ) d) k 8.... s 4... s.) 8 r nn n s 9 s p p p.) Gen:.4) n 9 r re r re / dy / r re n n / s dy ) 8 b) nn dy 4 0 0se nds dy 8400s r re r re r re r re 7.8.8. 9 s 9 8400 8400 ns 8400 9 9.7ns 7 4 s, p p nn nn n p p p r r ) 7 d) 0. 0. k 7. 7. 7. 8 8

.) ) 400k 400 00 4.4 k b) 80,000 k 8 0,000 0000 8.8 k ) 00000000 s 00000000 0000000 8 s 8 d) sends n dy dy 4 0 0s dy 8400 s dy 84 00 0 00 dy 84 4 0 8 4 dy 4 8.4 s.)gen: n sle redn 0.0 erner dsn ndn 4 dsn n sle erner sle redn 4 0.0 0.04 Zer errr 0.04 Zer rren 0.04.7)Gen: dsn n rulr sle=0dsn 0. es un es un dsns n rulr sle es un es un 0. 0 0.0 es un 0.0 0.00.8) ).00 e snn qures n s quny re. b) 0.0009k e snn qures n s quny re. ).0 7 e snn qures n s quny re. d) 0.0s e snn qures n s quny re 4..9) ).009 e snn qures n s quny re 4. b) 0.0040k e snn qures n s quny re. ). 7 k e snn qures n s quny re. d) 00s e snn qures n s quny re 4.) Gen: en e rpper.7 Wd e rpper.4 Are e rpper Are en Wd A.7.4 A.8

CHAER.) Gen: k s s s s 0.) Gen: 0s k 00 0s 00 0 0 00 (0)(0) ( )(0) 00 0 ( )(000) 00 0.s 000.) Gen: ( 0) (0.)(0) 0s s l nue 0s 0.s ()(0) (0.)(0) 00 (0.)(900) 00 90 90 () (0.)(0) s.4) AR-() Gen: Gen: up 0s s s dn (0)() ( )() 90 ( )(9) 90 4 4 0s 4 s AR-()

4 (0)( ) ()( ) 4 0 dn 4 9 s up dn s s s.) AR-() Gen: Gen: 40s 0s s 0 (40) ( )() 40 4s ( 4)( ) (0) (40) 00 8 00 s 40s AR-().) Gen: (40) () 00 00 00 400 0s 0.s 0 (0.)(0) (0) 0 s 00 00 k.7) AR-() Gen: 0s 48k 48 00.s 00 n 0s

Gen: Gen:. 0.s (.)(0) 800 r().s n 00s (.)(00) 4000 r().s 0s n 80s 0..s (.)(80) 00 800 4000 00 000.8) Gen: 0s s.9) Gen: s ( uprd) up up s 0 ( )() 0s ( ) (0) (0) " 900 0 4 9k 9 00 00 48k 48 00 00 800.7s.s ( )(800) (.) (.7). 00 0.4s

( 0.4) (0) (.).) Gen: " " 77.79 0.8. 9k 9 00 00 48k ".7s 48 00. s 00 800 ( )(800) (.) (.7). 00 0.4s (0) (.7) (.7 0.4 80s 0.4)( ).) Gen: 0N s.) Gen: 0 k 47N s 47 4.7k CHAER.) Gen: k s ()() 0N

.4) Gen: 0N 0k.) Gen: up up up 0 0 s 0N s s.) Gen: 0 k ()() 4N 4 0 4N s k up 48k ()(48) () 48 499 () 0 499.N 00N.7) Gen: 48 () 48 4 () 0 0.4s 4k k s (4)() () 4 40 () 0 4.8N N 4 () 4 4.8s

.8) Gen: Ns 0N 0.9) Gen:.s k 0. s.) Gen: (0.)()() 0N 0.k r 0 0. s r (0.)() (0.) 9N CHAER 4 4.) Gen: N ln x-xs N ln y-xs 4N ln -e x-xs (As x N 4N x x y N N x y 7N 8.N n n n () 4 4.) Gen: 0N 0 x y x s x 0s(0 ) x 0(0.8) 4.4N x y x s n -e dren)

y sn x s 4.) Gen: 0sn(0 ) 0(0.) N N y N y y x y x y () 9N N n n () n (0.47) y x 4.) Gen: x s 0 s(0) 0 0.8. N r 0. 0N rque uple r (0.) 0. 0(0.) N. x xs 4.4) Gen: 0N 0. 0(0.) N 4.) Gen: 0N 0 x 4.7) Gen:.8N 4.4N y 0 0.8 4.4 8.N 0

4.8) Gen: k k ensn n upper srn ensn n ler srn y 0 ( ) 0 ( ) 4.9) Gen: ( )() 80N ()() 0N 00N 0. 0N (00)(0.) 0N 0 0 0.. 4.) Gen: k 0 0. 0 0. ()() 0N 0 0 0(0.) 0. 40N

CHAER.) Gen: 00k d 0. As e kn.) Gen: G d.7.7 d 0.007N As e kn 4 (00)(00) (0.) N G d G d. d G 0.007 ().7 0 0 000k.) Gen:.4 R 70k.70 As e kn G R.7.77s.4) Gen:.s k.4 (.7 ) R 740k.740 As e kn.) Gen: G R R G (9.8)(.74 ).7 7. 4 k k R 400k.4 00k.

4 As e kn G ( R ).7 4s.) Gen: 4 4.00 0 4 (.4. ) k R 48700k 48.7 As e kn G R.7 0.7s.7) Gen: 4 (48.7 ) R 000k 4s G ( R ) As e kn.( R ) G 4 ( ).7.99.8) Gen: 4 As e kn.9) Gen: 4 G ( R ) G ( R ) G R 4 4G - R G - R As G R R= G pu n eq() R R R k -----() 80 k 8. As e kn ( R )

4 G ( R ).7 (.4 8. ) 7.4 s ( R ).) Gen: 7.4(.4 8. ) 740 s As e kn ( R ) G ( R ).7 0.7 s ( R ) 4000 k 4 4 (.4 4 ) 0.7(.4 4 ) 87 s CHAER.) Gen: 00N W As e kn W. W ( )(00 N) W 00J.) Gen: W 0N. E As e kn. E. E (0 N)( ). E 0J.) Gen: W kn N 0 s K. E As e kn K. E N

.4) Gen: s 00k K. E (00 k)(0 s ) K. E (00 k)(400 s ) K. E 40000J K. E 40kJ 00 0.k ) ) s. E K. E ) As e kn ). E N By rd equn n 0, ( ) (0) (). 0. E (0.)()(.). E.J As e kn K. E K. E (0.)() K. E (0.)() K. E.J.) Gen: ) ).s 40k K. E. E ) As e kn ) K. E K. E (40)(.) K. E (40)(.) K. E 4J As e kn. E.) Gen: Requured:. E 40()(). E 400J 4s 4000N As e kn W

... (4000)(4) 000W kw.7) Gen: 0 00N 0s Requured: As e kn W. (00)(0) 0 0W.8) Gen: 0k 0s seps e ne sep 0..9) Gen: Requured: 0. 4 As e kn W (0)()(4) 0 0W 00k s As e kn W. W. (00)()() 00W

.) Gen: p 74W n 00s 800k W % Eeny As e kn W W. W (74)(00) W 44700J % Eeny upu npu upu upu (800)()() upu 0, 000W npu 44700W % Eeny % Eeny 0, 000 447, 00.8% 0 0 7.) Gen: CHAER 7 40 000 000 0 0 0 0.00 80 80 k 00 0.8k densy 7.) Gen: 0.8 0.00 4k ss lue lre 00k 90k 00k k 90k k 90k k.09.09d.09lre

7.) ) Gen: b) Gen: k 800k k 800k k 800k ) Gen:. 4 00 0.k 00k 0.k 00k 0.k 00k.77 0.k 900k 0.k 900k 0.k 900k.04 7.4) Gen: 8 4 0.k 7.) Gen:.k 0 (.)(0) k 08k 7N. A. 0 0 4 A. 7.) Gen: A 7N. 0N 4 N A ( ) A A 4 0N 4 N 0 00 00

CA 9 HYIC NUERICA 7.7) Gen: A = 7. 7. =.. 4 A = =. 0 0 = 0 7. 7. = =. = 00 = k = 7. = 0.07 = ρ = = A = = = ( ) ks = N N =. = 778N ρ = 7.8) Gen: 4 k ρ =. ρ = 889k = ( ) = ss y ρ =. = ρ = " = = 0 (.) = ss u y = = 8.7 ss y = = 8.7 0 =.7 7.9) Gen: ρ = = (.7) (.) = = 8N =.4N ρ = 00k Densy bje = ρ = erl = ρ As s lue s ery lse 700., erl s Alunu. 7.) Gen: = Densy blk = ρ = 0. ρ 8 ρ = 00 8.4 ρ = (.77 00) k ρ = 77k 0. ρ = k = 0. k 00 Densy lqud = ρ = 0.9 0.9 ρl = k = 0.9 00 =.0N = = l =.0 = () = 0.0k l k ps://.urbrend.rdpress. e 8

0.0 0. 0.0 0..0 (0.9 ) l () 7.) Gen: l l l l.0 (0.9 )() 40 D 0 0. 0, 000N d 0.0 A A A r r D 0. (0.09) 4 d 0.0 (0.0009) 4 A 0, 000 00N (0.0009) 4 (0.09) 4 7.) Gen: A Y Y Y Y 4000N sress srn A A (4000)() Y ( )( Y Y 8000 4 8 N N )

8.) Gen: C 0 8.) Gen:.8C.8(0) C ( C) ( K) 8.) Gen: ( ) 98..8C 98..8C.8C 98. C..8 ( C) 7 C K K 7 7 7 ( K) K 0 C 7K C CHAER 8 0 C 0 7 9K. ( ) K (. )()(9 7) ( )(0) 0. 8.4) Gen:. C 7 88K 40 C 40 7 K.7 K ( ) ( ) ( 88) K.{ (.7 )}.{ 9.7 }. 8.) Gen: 0.k C 7 8K C 7 8K 400Jk K ( ) (0.)(400)(8 8) (0)(), 00J 8.) Gen: 00Js 00 0.k 0 C 0 7 9K

90 C 90 7 K 400Jk K 8.7) Gen: (0.)(400)( 9) 00 840(70) 00 H 8.8s 8.8) Gen: 0000J, 000 jk H H 0000, 000 0.49k 49 0 0.k C 7 K C 7 8K 0Jk K 400Jk K H, 000Jk He Requred ne eprure e r - C 0 C (0.)(0)(7 ) ()() 0J He Requred ne e 0 C er 0 C H (0.)(,000),00 J He Requred ne e eprure er r 0 C C (0.)(400)(8 7) (40)( ) 400J 0,00 400 9900J 8.9) Gen: 0 0.k H 0 8.) Gen:. C Jk (0.)(. ). 0.00k 00 0.k s H H C 400Jk K J. Jk

CA 9 HYIC NUERICA = = H (0.00)(. ) = 00J = (0.00)(400)(90) = 890J s = = = + s = 90J = = ( + )( )( ) s 90 = (0.0)(400)( ) 90 ( ) = =. + =. C 9.) Gen: = 0 = 0. A = 00 CHAER 9 = C = + 7 = 08K = C = + 7 = 88K k = 0.W K = ka( ) = (0.)(00)(08 88) = 0. 00 = 0. = 000Js 9.) Gen: = ur = 0 0se = 00s = 0.8 = 0.008 A =. = = C = + 7 = 98K = C = + 7 = 78K k = 0.8W K = ka( ) = ka( ) = (00)(0.8)()(98 78) = 0.008 88000 = 0. 7 =. J ps://.urbrend.rdpress. e