Edexcel Maths FP1 UNOFFICIAL Mark Scheme 19th May 2017

Random answers:

Sign change (-0.8888888 to 1.4149....)
alpha = 6.45
lambda = +- 4sqrt(5)
a = 9/2 or -27/2
Area (FXD) 15/16 a^2
D: (-a , -3/2 a)
Induction at the end (use assumption)
k = 2/9 for sum
other root: -3-2i
a = 2
b = -11 (or something like that)
y=x/2 xy=16 (4sqrt(2), 2sqrt(2)) and (-4sqrt(2),-2sqrt(2))
p = 20 somewhere

Anyone else remember?

For the record, I noticed on an IAL paper that if you don't use the geometric progression formula from C2, you immediately lose 2 marks, they didn't accept simply plugging in numbers from 1 to 12

-27/2 because -27/2 x 2 + 9 = -18. The scale factor is absolute value of det m, so you need to find a such that det m = +/-18

ahh do you think you would get 3/5 for getting one solution?

These are my answers, looking for mild confirmation, here also are the marks:

1) This was a newton r $f(x)=\frac{1}{3}x^2+\frac{4}{x^2}-2x-1$

a) Prove root [6,7] Change of sign (2 marks)
b) Find first newton approx starting at 6 to 2dp , 6.45 (5 marks)

2) some matrix question:
$A=\begin{bmatrix} 2 & -1 \\ 4 & 3 \end{bmatrix}$
(a) $A^-1 = \frac{1}{10}\begin{bmatrix} 3 & 1 \\ -4 & 2 \end{bmatrix}$ (2 marks)

$P=\begin{bmatrix} 3 & 6 \\ 11 & -8 \end{bmatrix}$

(b) Given AB=P find B $B = \begin{bmatrix} 2 & 1 \\ 1 & -4 \end{bmatrix}$ (3 marks)

3)
$x=4t$ , $x=\frac{4}{t}$
a) Find a line perpendicular to line between points $t=\frac{1}{4}$ and $t=2$ that goes through origin. Ans: $y=\frac{1}{2}x$ (3 marks)
b) cart equation $y=\frac{16}{x}$

c) Points of intersection $(4\sqrt{2},2\sqrt{2})$ and $(-4\sqrt{2},-2\sqrt{2})$ (3 marks)

4) Complex Numbers, horra.
i) $w=\frac{p-4i}{2-3i}$
a) a+bi form : $\frac{2p+12}{13}+\frac{3p+8}{13}i$ (3 marks)
$arg(w) = \frac{\pi}{4}$
b) p=20 (2 marks)
ii) $z=(1-\lambda i)(4+3i)$ , $\mid z \mid = 45$

$\lambda = \pm 4\sqrt{5}$ (2 marks)

Question 2: Matrices
a.) 1 .(3. 1)
....10 (-4 2) [2]
b.) (2. 1)
.....(1 -4) [3]