OML Search

Edexcel GCE Core Mathematics C3 Advanced June 2012




 

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 June 2012. The questions are given here.

Related Topics
More Worked Solutions and A-level Maths help

Free Math Worksheets

C3 Edexcel Core Mathematics June 2012 Question 1

Simplifying algebraic fractions

1. Express

2(3x + 2)/(9x2 - 4) - 2/(3x + 1)

as a single fraction in its simplest form.

C3 Edexcel Core Mathematics June 2012 Question 2

f(x) = x3 + 3x2 + 4x -12

(a) Show that the equation f(x) = 0 can be written as

The equation x3 + 3x2 + 4x -12 = 0 has a single root which is between 1 and 2

(b) Use the iteration formula

with x0 = 1 to find, to 2 decimal places, the value of x1, x2, and x3.

The root of f(x) = 0 is α.

(c) By choosing a suitable interval, prove that α = 1 272 . to 3 decimal places.




2 (b) Iteration
2 (c) Roots


 
C3 Edexcel Core Mathematics June 2012 Question 3

Turning Points

Figure 1 shows a sketch of the curve C which has equation

y = ex√3sin3x , −π/3 ≤ x ≤ π/3

(a) Find the x coordinate of the turning point P on C, for which x 0

Give your answer as a multiple of π.

(b) Find an equation of the normal to C at the point where x = 0

3 (b) Normal to a curve


C3 Edexcel Core Mathematics June 2012 Question 4

Transformations of graphs (mod types)

Figure 2 shows part of the curve with equation y = f(x)

The curve passes through the points P(−1.5, 0) and Q(0, 5P) as shown.

On separate diagrams, sketch the curve with equation

(a) y =|f(x)|

(b) y = f(|x|)

(c) y = 2f(3x)

Indicate clearly on each sketch the coordinates of the points at which the curve crosses or meets the axes.

C3 Edexcel Core Mathematics June 2012 Question 5

Trig. Identities

5. (a) Express 4cosec22θ cosec2θ − in terms of sinθ and cosθ.

(b) Hence show that

4cosec22θ cosec2θ = sec2θ

(c) Hence or otherwise solve, for 0 < θ < π,

4cosec22θ cosec2θ = 4

giving your answers in terms of π.



 
5 (c)
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 widget 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