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Exam 2 Solutions 13

# Exam 2 Solutions 13 - #\$/0'1*2#3045/3...

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!" \$%&'( ))*+, -./0'1 ͛ *2 3045&/3 + !"#\$%&'( * 6"/ '"5750"'8 /&9&/ 5" :&;5</& *28 .71&= 2 5" >( +,-% ,. ?' 5%& 9/&@<&';A 4"370'8 5%& "/010'7: =01'7: ݔሾ݊ሿ 0= ܺ൫݁ ௝ఠ ൯ ൌ ෍ ߜሾ݊ሿ݁ ି௝ఠ௡ ௡ୀିஶ ൌ ͳ ׊߱ ܺ൫݁ ௝ఠ B%&'8 C& =&:&;5 &D&/A =&;"'4 =73.:& 7'4 40=;7/4 5%& /&=5 5" 1&5 ݔ ሾ݊ሿ ( B%& /&=<:50'1 =01'7: 0= =50:: ߜሾ݊ሿ 8 =" ܺ ൫݁ ௝ఠ ൯ ൌ ͳ ׊߱ ( E'& ;7' 7:=" "F570' 5%0= FA ;"'=04&/0'1 ܺ൫݁ ௝ఠ 9"/ ߱ א ሾെߨǡ ߨሿ ( 60/=5 =;7:& 5%& %&01%5 "9 ܺ൫݁ ௝ఠ FA 8 7'4 5%&' /&.&75 5%0= =&13&'5 &D&/A ଶగ ൌ ߨ G5%& ;":"/&48 4"55&4 %"/0H"'57: :0'&= 0' 5%& .:"5 F&:"CI( B%&'8 5%& "D&/:7..0'1 .7/5= 744 <. 7'4 C& 1&5 F7;J ܺ ൫݁ ௝ఠ ൯ ൌ ͳ ׊߱ ( K ;"33"' 30=57J& 0= 5" '"5 744 5%&=& "D&/:7..0'1 .7/5=( ܺ ൫݁ ௝ఠ 6/"3 %&/& C& ;"<:4 ./";&&4 5" 4&5&/30'& ܺ ൫݁ ௝ఠ 8 F<5 5%&/& 0= '" '&&4 F&;7<=& 4</0'1 <.=73.:0'1 C& C0:: ;"'D&/5 ܺ ൫݁ ௝ఠ F7;J 5" ܺ ൫݁ ௝ఠ 7'AC7A( B%<=8 C& ;7' L<=5 40/&;5:A 7..:A 5%& 04&7: :"CM.7== 90:5&/ 5" ܺ ൫݁ ௝ఠ ( B%& 90:5&/ 0= 7 F"N C05% C045% 7'4 %&01%5 ܰ ൌ ʹ 8 7= =%"C' 0' 5%& 901</& 7F"D&( ܺ ൫݁ ௝ఠ K..:A0'1 5%& 90:5&/8 C& 1&5 ܺ ൫݁ ௝ఠ 8 C%0;% 0= OEB 5%& "/010'7: =01'7:( B%& ;"//&=."'40'1 503& 4"370' =01'7: 0= ;7:;<:75&4 0' :&;5</& P8 .71& Q( O"5& 5%75 0' 5%0= ./"F:&3 5%& %&01%5 "9 5%& F"N 0= ʹ 8 5%<= ݔ ሾ݊ሿ ൌ ʹ ߨ ʹ ݊ቁ ߨ݊ ߨ ʹ ݊ቁ ߨ ʹ ݊ +,-% /.

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