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

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. Differentiation3. (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).

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 (d)

5. (a) Use the binomial theorem to expand

(2 - 3x)

in ascending powers of x, up to and including the term in x^{3}. 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 x^{3} , giving your answer as a simplified fraction.

5(a)Binomial Expansion

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.