Edexcel Core Mathematics C2 January 2011
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Core 2 Mathematics Edexcel January 2011 Question 1
f(x) = x4 + x3 + 2x2 + ax + b where a and b are constants.
When f(x) is divided by (x – 1), the remainder is 7.
(a) Show that a + b = 3.
When f(x) is divided by (x + 2), the remainder is -8.
(b) Find the value of a and the value of b.
In the triangle ABC, AB = 11 cm, BC = 7 cm and CA = 8 cm.
(a) Find the size of angle C, giving your answer in radians to 3 significant figures.
(b) Find the area of triangle ABC, giving your answer in cm2 to 3 significant figures.
3. The second and fifth terms of a geometric series are 750 and –6 respectively.
Find
(a) the common ratio of the series,
(b) the first term of the series,
(c) the sum to infinity of the series. Core 2 Mathematics Edexcel January 2011 Question 4Figure 1 shows a sketch of part of the curve C with equation
y = (x + 1)(x – 5)
The curve crosses the x-axis at the points A and B.
(a) Write down the x-coordinates of A and B.
The finite region R, shown shaded in Figure 1, is bounded by C and the x-axis.
(b) Use integration to find the area of R.
Core 2 Mathematics Edexcel January 2011 Question 5
5. Given that,
(a) write down the value of b.
In the binomial expansion of (1 + x)40, the coefficients of x4 and x5 are p and q respectively.
(b) Find the value of q/p.
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