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www.examen-cd.nl www.havovwo.nl

wiskunde B pilot havo 2016-II

Vraag Antwoord Scores

Het midden en de top

15 maximumscore 4

(Voor de x-coördinaten van A en B geldt) x2 −5x+ =5 0 1

• Beschrijven hoe deze vergelijking exact opgelost kan worden 1

• Hieruit volgt 5 5 2 A x = − en 5 5 2 B x = + 1 • Dus 12 5 5 5 5 2 2 2 2 M x+ + = = 1 16 maximumscore 5 f x( )=x3−5x2 +5x+x2−5x+ =5 x3−4x2+5 1 • f ' x( )=3x2−8x 1 • (Uit f ' x( )=0 volgt) x

(

3x− =8

)

0 1

• (x=0 of) x= (dus de x-coördinaat van C83 is 83) 1

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