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 2012. Try out the Past paper for Edexcel C3 January 2012 and check out the video solutions if you need any help.

Related Topics

More Worked Solutions and A-level Maths help

Free Math Worksheets

C3 Edexcel Core Mathematics January 2012 Question 1

1. Differentiate with respect to x, giving your answer in its simplest form,

(a) x^{2}ln(3x)

(b) sin 4x/x^{3}
1 (a) Differentiation - Product Rule.

1 (b) Differentiation - Quotient Rule.

C3 Edexcel Core Mathematics January 2012 Question 2

Figure 1 shows the graph of equation y = f(x).

The points P (– 3, 0) and Q (2, – 4) are stationary points on the graph.

Sketch, on separate diagrams, the graphs of

(a) y = 3f(x + 2)

(b) y = |f (x)|

On each diagram, show the coordinates of any stationary points.

2 (a) Transformations of graphs.

2 (b) Exponential functions.

C3 Edexcel Core Mathematics January 2012 Question 3

3. The area, A mm^{2}, of a bacterial culture growing in milk, t hours after midday, is given by

A = 20e^{1.5t}, t ≥ 0

(a) Write down the area of the culture at midday.

(b) Find the time at which the area of the culture is twice its area at midday. Give your answer to the nearest minute.

3) Exponential functions.C3 Edexcel Core Mathematics January 2012 Question 4

4. The point P is the point on the curve x = 2 tan (y + π/12) with y-coordinate π/4

Find an equation of the normal to the curve at P.

4) Normal to a curve.C3 Edexcel Core Mathematics January 2012 Question 5

5. Solve, for 0° ≤ θ ≤ 180°,

2cot^{2} 3θ = 7 cosec 3θ - 5

Give your answers in degrees to 1 decimal place.

5) Trig. equationsMore 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.

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

data-ad-region="y21">