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Quiz6BSolution - Name g‘DLu‘ IDES Math 133 —— Quiz...

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Unformatted text preview: Name g‘DLu‘, IDES March 11, 2008 Math 133 —— Quiz 6B (1) (4 points) Calculate the improper integral. Show all steps. L 0° d3: ' Av; ‘ L /0 1+$2 : lmm g \+~,L" '- lkM/x Ou‘ai'an (x\\ 0 L900 L-s vo D .1. \W‘ MhmhA - min“ (0\ Doc 2:. 7%-0 1 \772. d (2) (4 points) Solve the differential equation i = ycos2(\/@). Sag—Jammie. yawaLs (“M4, | \ din-wall: $33“ 2:33? as = 4%- SSalQS—ixsgu :. ’X+Q‘ 38* “2% a“: 7km; 1 - Old : cl igscum (\u = «*0 u V”: 1 ‘l‘omluh = «+c__ Hm”— la“ (‘73) = EEC; “’5 Wig Main“ 19—9— so (3) (4 points) State Whether the following improper integral converges or diverges. Show your reasoning. (You may use either the Comparison Test or the Limit Comparison Test.) °°\/ —1d \ --— - .L I= U Sm mu “we. ”“ <43:- = X ”BA 59“ X" dx .. . ”A; 4 » ‘ \ W1. CMMEP/S [lib ‘ XP “Per ?7\‘S V \me r-gq, given in‘lfiS‘lX ...
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