OML Search

Edexcel GCE Core Mathematics C3 Advanced January 2010




 
Are you looking for A-level Maths help?

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

Related Topics
More Worked Solutions and A-level Maths help
Free Math Worksheets

C3 Edexcel Core Mathematics January 2010 Question 1

Algebraic Fractions

1. Express
(x + 1)/(3x2 - 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

2. Given f(x) = x3 + 2x2 - 3x - 11
(a) Show that f(x) = 0 can be rearranged as
2. The equation f(x) = 0 has one positive root α.
The iterative formula is used to find an approximation to α.
(b) Taking x1 = 0, find, to 3 decimal places, the values of x2 , x3 and x4.
2 (c) Show that α = 2.057 correct to 3 decimal places.



C3 Edexcel Core Mathematics January 2010 Question 3

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.
3 (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

4. (i) Given that y = ln(x2 + 1)/x find dy/dx.
4 (ii) Given that x = tan y, show that dy/dx = 1/(1 + x2)


C3 Edexcel Core Mathematics January 2010 Question 5

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

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.


[?] Subscribe To This Site

XML RSS
follow us in feedly
Add to My Yahoo!
Add to My MSN
Subscribe with Bloglines