Syllabus Wiskunde B vwo

categorie B: wortelvormen
1 4 2
1. − 3 = 0 → t = ...
t
2. D = 6 , 9 T − 12 → T = ...
3.
x 1
1−
x + =
1−x 1−x
4. x + 8 + x = 4 → x = ...
categorie C: bijzondere producten
1. ( ) 2 3 2
30 −2x ⋅ x = 4x − 120x + 900x
2 2
1 1 4a
⋅ + − ⋅ − =
n n n
2. a ( 1 ) a ( 1 )
3. Toon aan:
4
1 x −x
2 1 x −x
2
4 (e − e ) + 1=
4 (e + e )
4
4. sin t − cos t = sin t − cos t
2
categorie D: regels voor exponenten en logaritmen
1.
0,05 x x
1000 ⋅ (0,1) = 1000 ⋅ g met g = ...
2. ( )
3.
2
t 2t t 3t
11000 ⋅0,9⋅ 0,7 −0,5⋅ 0,9 = 7700 ⋅0,9−5500 ⋅ 0,9
4
g = 1 , 82 → g =
1,
82
0
, 25
4. G = 10 ⋅ logI + 90 → I =
5.
2
log 2 log 10 c
G = ⋅ D+ c → G = ⋅ D
6. ( ) ( )
0,425 0,725 0,425 0,725
0,007 ⋅ 8G ⋅ 2L = 4 ⋅0,007 ⋅G ⋅ L
−ct ⋅
7. ( )
P = 100 ⋅ 1− 2 en P = 50 → t = ...
S =
1000
⎫
8. R
3 ⎪ 2
⎬ → S = 1000 ⋅ ( 100 + x )
9.
10.
R = 100+
x
2 ⎪
⎭
3
1000x → 10x
1
3
−2 −3
2000t − 40000t = 0 → t = ....
a b x
11. logy = a+ b⋅x → y = 10 ⋅ (10 )
−1,5
categorie F: Herleidingen en omwerken van formules
a − b = 178 ⎫
1. ⎬ → a = ... en b = ...
a − 0,
36b
= 205⎭
2.
3
V = R ⎫⎪
⎬
2
O = 6R
⎪⎭
250
3. ( d )
Druk O uit in V en druk V uit in O
250 = c⋅250 1− + 250 en c ≠ 0 → d = 250
L⋅ B = 30
⎫
⎪⎬
4. 18547 5279 Druk K uit in L
K = + 56,6L+ + 90,8B
L B ⎪⎭ syllabus wiskunde B vwo centraal examen 2012 13