# Edexcel Core Mathematics C2 June 2009

Questions and Video Solutions for C2 Edexcel Core Mathematics June 2009

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Edexcel Core Mathematics C2 June 2009 Past Paper
### C2 Mathematics Edexcel June 2009 Question 1

1. Use calculus to find the value of ∫(2x + 3√x) dx

### C2 Mathematics Edexcel June 2009 Question 2

2. (a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of

(2 + kx)^{7}
where k is a constant. Give each term in its simplest form.

Given that the coefficient of x^{2} is 6 times the coefficient of x,

(b) find the value of k.

### C2 Mathematics Edexcel June 2009 Question 3

3. f(x) = (3x - 2)(x - k) - 8

where k is a constant.

(a) Write down the value of f (k).

When f(x) is divided by (x − 2) the remainder is 4

(b) Find the value of k.

(c) Factorise f(x) completely.

### C2 Mathematics Edexcel June 2009 Question 4

4. (a) Complete the table below, giving values of √(2^{x} + 1) decimal places.

Figure 1 shows the region R which is bounded by the curve with equation y = √(2^{x} + 1) , the
x-axis and the lines x = 0 and x = 3

(b) Use the trapezium rule, with all the values from your table, to find an approximation
for the area of R.

(c) By reference to the curve in Figure 1 state, giving a reason, whether your approximation
in part (b) is an overestimate or an underestimate for the area of R.

### C2 Mathematics Edexcel June 2009 Question 5

5. The third term of a geometric sequence is 324 and the sixth term is 96

(a) Show that the common ratio of the sequence is 2/3

(b) Find the first term of the sequence.

(c) Find the sum of the first 15 terms of the sequence.

(d) Find the sum to infinity of the sequence.

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