# Edexcel Core Mathematics C1 January 2011

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Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2011.

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Core 1 Mathematics Edexcel January 2011 Question 1 - Indices

1. (a) Find the value of 16-1/4

(b) Simplify x(2-1/4)4
Core 1 Mathematics Edexcel January 2011 Question 2 - Integration

2. Find
∫ (12x5 - 3x2 + 4x1/3) dx
giving each term in its simplest form.

Core 1 Mathematics Edexcel January 2011 Question 3 - Surds

3. Simplify
(5 - 2 √ 3)/( √ 3 - 1)
giving your answer in the form p + q √ 3, where p and q are rational numbers.
Core 1 Mathematics Edexcel January 2011 Question 4 - Sequences

4. A sequence a1, a2, a3,... is defined by
a1 = 2
an+1 = 3an - c
where c is a constant.
(a) Find an expression for a2 in terms of c.

Given that
(b) find the value of c.

Core 1 Mathematics Edexcel January 2011 Question 5 - Transformations of Graphs

Figure 1 shows a sketch of the curve with equation y = f(x) where
f(x) = x/(x - 2), x ≠ 2
The curve passes through the origin and has two asymptotes, with equations y =1 and
x = 2 , as shown in Figure 1.
(a) In the space below, sketch the curve with equation y = f(x - 1) and state the equations
of the asymptotes of this curve.

(b) Find the coordinates of the points where the curve with equation y = f(x - 1) crosses
the coordinate axes.
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