OML Search

Edexcel Core Mathematics C4 January 2011




 

Questions and Worked Video Solutions for C4 Edexcel Core Mathematics January 2011.

Related Topics:
More videos, activities and worksheets that are suitable for A Level Maths


Edexcel Core Mathematics C4 January 2011 Past Paper

C4 Mathematics Edexcel January 2011 Question 1

1. Use integration to find the exact value of

1. Integration by parts
C4 Mathematics Edexcel January 2011 Question 2

2. The current, I amps, in an electric circuit at time t seconds is given by

I = 16 –16(0.5)t , t ≥ 0

Use differentiation to find the value of dI/dt when t = 3.

Give your answer in the form ln a , where a is a constant.

2. Differentiation



C4 Mathematics Edexcel January 2011 Question 3

3. (a) Express 5/[(x + 1)(3x + 2)] in partial fractions.

(b) Hence find ∫ 5/[(x + 1)(3x + 2)] dx, where x > 1.

(c) Find the particular solution of the differential equation

(x - 1)(3x + 2) dy/dx = 5y, x > 1

for which y = 8 at x = 2 . Give your answer in the form y = f(x).

3(a) Partial Fractions
3(b) Integration (Partial Fractions)


 
3(c) Differential Equation
C4 Mathematics Edexcel January 2011 Question 4

4. Relative to a fixed origin O, the point A has position vector i - 3j + 2k and the point B has position vector -2i + 2j - k. The points A and B lie on a straight line l.

(a) Find AB.

(b) Find a vector equation of l.

The point C has position vector 2i + pj - 4k with respect to O, where p is a constant.

Given that AC is perpendicular to l, find

(c) the value of p,

(d) the distance AC.
4 (a)



4 (b)
4 (c)


 
4 (d)
C4 Mathematics Edexcel January 2011 Question 5

5. (a) Use the binomial theorem to expand

(2 - 3x)-2, |x| < 2/3

in ascending powers of x, up to and including the term in x3. Give each coefficient as a simplified fraction.

f(x) = (a + bx)/(2 -3x)2, |x| < 2/3 , where a and b are constants.

In the binomial expansion of f ( ) x , in ascending powers of x, the coefficient of x is 0 and the coefficient of x2 is 9/16. Find

(b) the value of a and the value of b,

(c) the coefficient of x3 , giving your answer as a simplified fraction.


5(a)Binomial Expansion


5 (b)
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 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