Edexcel Core Mathematics C2 June 2009
Questions and Video Solutions for C2 Edexcel Core Mathematics June 2009
Edexcel Core Mathematics C2 June 2009 Past Paper
C2 Mathematics Edexcel June 2009 Question 1
- Use calculus to find the value of ∫(2x + 3√x) dx
C2 Mathematics Edexcel June 2009 Question 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 x2 is 6 times the coefficient of x,
(b) find the value of k.
C2 Mathematics Edexcel June 2009 Question 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
- (a) Complete the table below, giving values of √(2x + 1) decimal places.
Figure 1 shows the region R which is bounded by the curve with equation y = √(2x + 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
- 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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