Edexcel Core Mathematics C2 January 2011 Past Paper
(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.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.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.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 the free Mathway calculator and
problem solver below to practice various 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.