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Q2sol - QUIZ No 2 Math 410/610 Fall 2010 NAME SC LU...

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Unformatted text preview: QUIZ No. 2, Math 410/610 Fall 2010 NAME SC? LU T‘ICjNg September 13, 2010 1. Let: f = u + 2'21 be (3— differentiable at 20 2 ($0,310). Prove that if (~0N2 ‘ ’1c(9307U())vy (To:yo) ‘" L1y(,w02-y(})vfll (3% 1/0) "a; ‘ w (”1 (“3 M c? U” 5* u Mf— , a» J y W ML 9» ”w 216) MW (ltd) SOVULL/Q 9“?” 3: OWN“ mg” my“: my ‘ WW “3 ML (33" 6X 6‘3! ex “2‘4,“ ’- A” Q t . W Ctkkth/xfl " (31 Q \x’LkGL W VK 2. Find a holomorphic function f : (C .4 C such that Refill 11/) 2 1:2 * 1/2 and f0) : 1 +21,- " ‘ “ , ” w , Z "2,, , m Lax j; : ch-rL/V' quwj): KW}? 5 $41»th 3V“ «3.. €33: : 3x W 0“" GK U.) I: Q, t ’““ Q ' 69k -:: ‘2 W ”‘“’ 0“?) S X 3 >03 +4550 ”mi" W :3 ”“2 L 4%? WW“) » '- 2‘34" 2:: w— 1?“ ‘WVS’QMW (1/007: ca ”7 J w a 0X l J 2. ya {3 a Hemuz (U‘CXVJX: 2x3+ rQ lejg 1V(~x\:))t><”fi V+‘”&X:I+Cg Egaxwk %h32 \‘TKC’WL wfi C33”: “C 1:: ’2’. ) 0x” ...
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