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The following videos will give you the worked solutions and answers for the
Edexcel GCE Core Mathematics C3 Advanced January 2010.

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Edexcel GCE Core Mathematics C3 Advanced June 2011

More Lessons for A Level Maths

C3 Edexcel Core Mathematics January 2010 Question 1

Algebraic Fractions

- Express

(x + 1)/(3x^{2}- 3) - 1/(3x + 1)

as a single fraction in its simplest form.

C3 Edexcel Core Mathematics January 2010 Question 2

Numerical solutions and iterative methods

- Given f(x) = x
^{3}+ 2x^{2}- 3x - 11

(a) Show that f(x) = 0 can be rearranged as

- The equation f(x) = 0 has one positive root α.

The iterative formula is used to find an approximation to α.

(b) Taking x_{1}= 0, find, to 3 decimal places, the values of x_{2}, x_{3}and x_{4}.

- (c) Show that α = 2.057 correct to 3 decimal places.

C3 Edexcel Core Mathematics January 2010 Question 3

- (a) Express 5 cos x – 3 sin x in the form R cos(x + α), where R > 0 and 0 < α < 1/2 π.

- (b) Hence, or otherwise, solve the equation

5 cos x – 3 sin x = 4

for 0 ≤ x < 2π, giving your answers to 2 decimal places.

C3 Edexcel Core Mathematics January 2010 Question 4

- (i) Given that y = ln(x
^{2}+ 1)/x find dy/dx.

- (ii) Given that x = tan y, show that dy/dx = 1/(1 + x
^{2})

C3 Edexcel Core Mathematics January 2010 Question 5

- Sketch the graph of y = ln|x|, stating the coordinates of any points of intersection with the axes.

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