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aa6516_opg_matematikk_2mx_privatister_2008_05_28

# aa6516_opg_matematikk_2mx_privatister_2008_05_28 - Eksamen...

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Eksamen 28.05.2008 AA6516 Matematikk 2MX Privatistar/Privatister Nynorsk/Bokmål

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Eksamen, AA6516 Matematikk 2MX Side 9 av 14 Oppgave 1 I hele oppgave 1 skal du på hvert delspørsmål velge mellom alternativ I og alternativ II. Du skal bare regne ett av alternativene, og alternativ II gir om lag dobbelt så stor uttelling som alternativ I. a) Løs likningene ved regning: 1) Enten I 3 27 x eller II 2 10 10 x x 2) Enten I 3 2 x eller II 3 7 1 x x b) Deriver funksjonene: 1) Enten I 3 2 2 5 f x x x eller II ln f x x x 2) Enten I 2 5e x g x eller II 2 2 e x g x x c) Enten I Bestem integralet ved regning: 3 3 1 8 d x x eller II Finn t i likningen 2 1 9 d 78 t x x d) På en frøpose står det at 75 % av frøene vil spire. Vi planter ut 20 frø. Enten I Hva er sannsynligheten for at akkurat 16 frø vil spire? eller II Hva er sannsynligheten for at minst 16 frø vil spire?
Eksamen, AA6516 Matematikk 2MX Side 10 av 14 e) Enten I Undersøk om vektorene 2 3 u a b  og 3 2 v a b er parallelle.

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