Paper 1 Flashcards
1
Q
a =
A
3
2
Q
binomial theorem
A
1 + 4x - 8x^2 + 32x^3
3
Q
logarithms
A
log base 2 3
4
Q
completing the square
A
2(x + 1)^2 + 7
y-intercept (0,9)
minimum (-1, 7)
5
Q
range of possible values for k
A
k-4
6
Q
circle
A
sub y in as soon as possible
7
Q
geometric proof:
A
(1) : Sn = a + ar + ar^2 + … + ar^(n-1)
(2) : rSn = ar + ar^2 + ar^3 + … + ar^n
(1) - (2): Sn - rSn = a + ar^n
8
Q
prove by contradiction
A
- assume
- DOTS: (2p - q)(2p + q) = 25
- as +ve: (2p - q) < (2p + q)
- (2p + q) > 0
- 2p + q = 25
- 2p - q = 1
- solve (p = 6.5)
9
Q
deriving the equation
A
- sub in values
- use brackets
- B = 51.6
- A = 69.6
- A becomes maximum
10
Q
finding the tangent for r
A
- set b^2 - 4ac = 0
- 9 +/- 3 root 5
