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Midterm 1 solutions

# Midterm 1 solutions - Mid{er l n nni yr 1 x fr 5 S-tu}N,^s...

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Mid{er-' S-tu}N..,^s l) n) nni'. f r yr 1 (, x. 5) . ,x,L' -, x? ,> / = (,k,* (zxz - )b,>". xr'. - EL=p,*i),*,''"=o j )l.t ' ; +=?.''-\',-L'=o i )x, ' ) t)e n < - > . U \ -t' t (',I) t \,'-,).7 F, ( C+'-"\-' . f' {n* \ i,,. irz ' | {,,'1., ' fr}:: k,J f: ), FP, *" ' '- f'-f {'z I = bL":b---n-!"-t-\ ('( ''"' ( ('" ( ttt' '4 ., [.!o "1 LA. J J-, 'V >;'r xr"' -) fi - [ir_(t, r' {SC' Jxz(z + JXz :t.t'> (/\ t Plu, ,x\ ) JLk:tu).-,^- P' t) Jx, 1 r^." t. ) yi./ ?_^1, (g''' t'.) (.((,'1"., tli.,'i,r-, [-,, Xi- ,'t,,'',1,2 . I f'* {t, .?

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2) a-) 2 < a ")( 'P ? 6o = csett-*\ c1v.,\ Ur. \v't\ o{ d€.-o.-.\ }{ w1"rtr. 4[i1- ,cJ L5. 4,",..,, # &...r-r-.c r-7611 ;( )' -"( \ (** I t , . . . . L - ,.\ * n ( / r , ^ ' . f u \ t . "'"( t"- + j \ .n() I I ' / . " r " p \ = l / r - t i '1 t ----+--' tf"/ 1 \ | . - D 'l \ /r" (" ' t - - - - > ( (,' t . L " / ' | * / , t t!r'- l l Y" + X -- r'\ \ r) .)) a) h:r'^ - t - / J / t i l =o l( '\'- | | -----:- \ r f " r /f3\, f ('" / Ks-xo xo-xtt . :c -.i "" /ara. i.r1 I i{ u.. ()t ( ,' / -.i. r.Ni)! | l . l ; 1 i . . 1 . 0 , , dors pr, '\.,, U I Ko + xo - o'8xo =)xD" P D f ) )x o : 2 . 5 K U;( an1 ( i^ f ^ r'3 (c" Le :) *t;f s,a)x' ,\ ' ('' l - a , L < ' 7 , * / y , l X Z ) = ) ' t { C , , 0 tt\ \ ((.{^ att r _r ,\ \ :., X'X, XO
t) Cff (i-a, o1i :\,f{ {*o [r.{,\\^ ,*.3,J ..ai \ o:) + \$% O'.^,* o( -il.',) t! re.,i3 Cn're^ 4 y e*-g::)'s itt FAre,-+k--t;.. [;e,iJ-{ &.n0". f^.ow r^'cl ot\\ -t1^4 7**rr g#€i ",*,a} h^r. \^ f.r!. \{ alol l.aw a[{ 1*-{ ( hi ,ar\ -(V,^,^ 57" a^d -tr-4_ Ca^.suv*+r JsCsn I
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