Questions and Worked Solutions for C2 Edexcel Core Mathematics June 2011.

Related Topics:

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

Edexcel Core Mathematics C2 June 2011 Past Paper

C2 Mathematics Edexcel June 2011 Question 6

6. The second and third terms of a geometric series are 192 and 144 respectively.

For this series, find

(a) the common ratio,

(b) the first term,

(c) the sum to infinity,

(d) the smallest value of n for which the sum of the first n terms of the series exceeds 1000.

6 (a)(b) Geometric Series

7. (a) Solve for 0 ≤ x < 360°, giving your answers in degrees to 1 decimal place,

3sin(x + 45°) = 2

(b) Find, for 0 ≤ x 2π, all the solutions of

2sin^{2}x + 2 = 7cosx

giving your answers in radians.

You must show clearly how you obtained your answers.

A cuboid has a rectangular cross-section where the length of the rectangle is equal to twice its width, x cm, as shown in Figure 2.

The volume of the cuboid is 81 cubic centimetres.

(a) Show that the total length, L cm, of the twelve edges of the cuboid is given by

L = 12x + 162/x^{2}

(b) Use calculus to find the minimum value of L.

(c) Justify, by further differentiation, that the value of L that you have found is a minimum.

8 (b)

The straight line with equation y = x+ 4 cuts the curve with equation y = −x^{2} + 2x - 24 at the points A and B, as shown in Figure 3.

(a) Use algebra to find the coordinates of the points A and B.

The finite region R is bounded by the straight line and the curve and is shown shaded in Figure 3.

(b) Use calculus to find the exact area of R.

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.