OML Search

Edexcel GCE Core Mathematics C4 Advanced January 2013




 

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 C4 Advanced January 2013. The questions are given here.

Related Topics
More Worked Solutions and A-level Maths help

Free Math Worksheets

C4 Edexcel Core Mathematics January 2013 Question 1

Binomial Expansion

1. Given
f(x) = (2 + 3x)–3, |x| < 2/3

find the binomial expansion of f(x), in ascending powers of x, up to and including the term in x3.

Give each coefficient as a simplified fraction.

C4 Edexcel Core Mathematics January 2013 Question 2

Integration

2. (a) Use integration to find
∫ 1/x3 ln x dx

(b) Hence calculate




C4 Edexcel Core Mathematics January 2013 Question 3

3. Express

(9x2 + 20x -10)/[(x + 2)(3x -1)]

in partial fractions.

C4 Edexcel Core Mathematics January 2013 Question 4

Trapezium Rule
Figure 1 shows a sketch of part of the curve with equation y = x/(1 + √x). The finite region R, shown shaded in Figure 1, is bounded by the curve, the x-axis, the line with equation x = 1 and the line with equation x = 4.

(a) Complete the table with the value of y corresponding to x = 3, giving your answer to 4 decimal places.

(b) Use the trapezium rule, with all the values of y in the completed table, to obtain an estimate of the area of the region R, giving your answer to 3 decimal places.

(c) Use the substitution u = 1 + √x, to find, by integrating, the exact area of R.



 
4 (c) Integration (substitution)
C4 Edexcel Core Mathematics January 2013 Question 5

Parametric Equations
Figure 2 shows a sketch of part of the curve C with parametric equations

x = 1 - ½t, y = 2t -1

The curve crosses the y-axis at the point A and crosses the x-axis at the point B.

(a) Show that A has coordinates (0, 3).

(b) Find the x coordinate of the point B.

(c) Find an equation of the normal to C at the point A.

The region R, as shown shaded in Figure 2, is bounded by the curve C, the line x = –1 and the x-axis.

(d) Use integration to find the exact area of R.



5 (c) Normal to Parametric Curve
5(d) Area under a Parametric Graph
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