Wiskunde week 13, opg - Opgavencollege Wiskunde 1 17...

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Opgavencollege Wiskunde 1, 17 December 2010 Les 13 Opgavencollege Wiskunde 1 Les 13 Pag. 1/2 De extra oefeningen zijn optioneel en worden niet besproken op het opgavencollege, de uitwerkingen ervan komen op blackboard. Docenten: drs. H. ten Napel (kamer E3.21) en dr. G.J.M. Marée (kamer E3.22). Assistenten: Thom de Kogel en Thomas van de Leur(kamer E3.39). Opgavencollege op vrijdag (houdt u aan de indeling): P1 t/m P3 13 :00-15 :00 in zaal AB.43 (C) P4 t/m P9 13 :00-15 :00 in zaal AB.42 (B) P10 t/m P18 15 :00-17 :00 in zaal AB.42 (B) [indien nodig overloop naar zaal AB.42 (C)] ****************************************************************************************** Opgave 1 Vind de stationaire punten (met functiewaarden) van de onderstaande functies en classificeer deze (minimum/maximum/zadelpunt). a) 3 3 2 2 3 2 ( , ) 2 3 12 90 f x y x y x y x y = + - + - - b) 1 1 ( , ) p q w p q pq = - - Extra oefening: 1) 2 2 1 2 ( , ) 2 9 10 h r s r s r s rs = + - - + 2) 2 1 4 ( , ) 2 2ln g x y x y xy = + - , x > 0 en y > 0. Opgave 2 Bij een productieproces worden de (totale) kosten gegeven door de functie: ( 2 2 1 2 1 1 2 2 , 2 3 . C q q q q q q = + + De prijs-afzetfuncties worden gegeven door: 1 1 36 – 3 p q = en 2 2 40 – 5 p q = a)
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