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Samenvatting VWO Wiskunde d Getal & Ruimte H6

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Samenvatting VWO Wiskunde d Getal & Ruimte H6

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(in iaire differentievergel king van de eerste Oorde recursieve
Formule: Un = a .
Un -
, tb



b differentievergel king Un= a Un -1 tb .




liggen de punten
(Una , Un) op de l ny =
axtb


een webgrafiek Un = a. Un -
itb is een diagram dat bestaat uit

aaneengesloten horizontale en verticale l nstukken waarvan de
eindpunten op de l nen g-axtb en g- ✗ liggen de webgrafiek .




begint in het punt 140,0) Het eerste l nstuk is het verticale .




l nstuk met eindpunt op de van
y axtb
=
grafiek
4- = dekpunt .
als Uo = Ú dan is Un een constante r
op één punt richten stabiel evenwicht 4- grenswaarde
convergeren
= . en =




directe Formule Un = A
"
van Un = a
.
Un -
itb is .
a t Û
L constante

b logistischegroei hoort de differentievergel king Pepe + k.pt (I PÉ)
-
.
:
, .
.

G- Grenswaarde
K=
groeivoet groeivoet

stelsel differentievergel kingen : Pt =
1,25 Pt -

i
-



Q 0015 Rt-1 Pt -1

Rt =
Q 97 Rt it 0,00004 Pt
- -
i Rt -1
met Po =
700 en Ro =
200
-
recursieve Formule: Un = a Un it be Um .
.
.
> met b=/0 lineaire

differentievergel king van de tweede Oorde


-


snbstit neer Un =

9
"
-
D 92 ag- -

5- 0 Karakteristieke vergel king
los op .

Oplossingen z n 9 , &
92
A. (g)ÎB (
"
stel nu Un = )
gr
.




directe Formule Un it b. Un -2 met start waarden Uo
-

Un =
a- -
en U,

92
1- >
substitutie gn = → b met D= a + ub
un
ag
- -




"
D >o ?
"
Za .




9, en 92 → Un = A. 9 , + B- 9,
"3-

D= o ?
"
un
=
(AtBn) 9 .
( ☐ 10 =
geen oplossing)
ij
ij
ijijij
ij ij ijijijij

Connected book
 image
Publisher: Unknown ISBN: 9789001842390 Edition: 11

Document information

Level
School year
4
Summarized whole book?
No
Which chapters are summarized?
6
Uploaded on
June 18, 2022
Number of pages
1
Written in
2020/2021
Type
Summary
$4.15

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