Edexcel Core Mathematics C1 January 2011

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Edexcel GCE Core Mathematics C2 January 2011
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Questions and Worked Solutions for C1 Edexcel Core Mathematics January 2011.

Past Paper (pdf)

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 + 4x^1/3) 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
   a_n+1 = 3a_n - 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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