Edexcel Core Mathematics C2 January 2011
Questions and Worked Solutions for C2 Edexcel Core Mathematics January 2011.
Edexcel Core Mathematics C2 January 2011 Past Paper
Core 2 Mathematics Edexcel January 2011 Question 6
y = 5/(3x2 - 2)
(a) Complete the table below, giving the values of y to 2 decimal places.
(b) Use the trapezium rule, with all the values of y from your table, to find an approximate value for
Figure 2 shows a sketch of part of the curve with equation y = 5/(3x2 - 2), x > 1
At the points A and B on the curve, x = 2 and x = 3 respectively.
The region S is bounded by the curve, the straight line through B and (2, 0), and the line through A parallel to the y-axis. The region S is shown shaded in Figure 2.
(c) Use your answer to part (b) to find an approximate value for the area of S.
Core 2 Mathematics Edexcel January 2011 Question 7
7. (a) Show that the equation 3 sin2 x + 7 sin x = cos2 x - 4
can be written in the form 4 sin2 x + 7 sin x + 3 = 0
(b) Hence solve, for 0 ≤ x < 360°,
3 sin2 x + 7 sin x = cos2 x - 4
giving your answers to 1 decimal place where appropriate.
Core 2 Mathematics Edexcel January 2011 Question 8
8. (a) Sketch the graph of y = 7x, x is real, showing the coordinates of any points at which the graph crosses the axes.
(b) Solve the equation 72x - 4(7x) + 3 = 0 giving your answers to 2 decimal places where appropriate.
Core 2 Mathematics Edexcel January 2011 Question 9
9. The points A and B have coordinates (–2, 11) and (8, 1) respectively. Given that AB is a diameter of the circle C,
(a) show that the centre of C has coordinates (3, 6),
(b) find an equation for C.
(c) Verify that the point (10, 7) lies on C.
(d) Find an equation of the tangent to C at the point (10, 7), giving your answer in the form y = mx + c, where m and c are constants.
Core 2 Mathematics Edexcel January 2011 Question 10
10. The volume V cm3 of a box, of height x cm, is given by
V = 4x(5 - x)2
(a) Find dV/dx
(b) Hence find the maximum volume of the box.
(c) Use calculus to justify that the volume that you found in part (b) is a maximum.
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.