More videos, activities and worksheets that are suitable for A Level Maths
Questions and Video Solutions for C4 Edexcel Core Mathematics June 2010
Edexcel Core Mathematics C4 June 2010 Past Paper
C4 Mathematics Edexcel June 2010 Question 1
Figure 1 shows part of the curve with equation y = √(0.75 + cos2
The finite region R, shown shaded in Figure 1, is bounded by the curve, the y-axis, the x-axis and the line with
equation x = π/3
(a) Complete the table with values of y corresponding to x = π/6 and x = π/4
(b) Use the trapezium rule
(i) with the values of y at x = 0, x = π/6 and x = π/3 to find an estimate of the area of R. Give your answer to 3 decimal places.
(ii) with the values of y at x = 0, x = π/12, x = π/6, x = π/4 and x = π/3 to find a further estimate of the area of R. Give your answer to 3 decimal places.
C4 Mathematics Edexcel June 2010 Question 2
2. Using the substitution u = cos x + 1, or otherwise, show that
∫ecos x + 1
sin x dx = e(e - 1)
C4 Mathematics Edexcel June 2010 Question 3
3. A curve C has equation 2x
Find the exact value of dx/dy at the point on C with coordinates (3, 2).
C4 Mathematics Edexcel June 2010 Question 4
4. A curve C has parametric equations
x = sin2
t, y = 2tan t, 0 ≤ t < π/2
(a) Find dy/dx in terms of t.
The tangent to C at the point where t = π/3 cuts the x-axis at the point P.
(b) Find the x-coordinate of P.
C4 Mathematics Edexcel June 2010 Question 5
+ 5x - 10)/(x - 1)(x + 2) ≡ A + B/(x - 1) + C/(x + 2)
Find the values of the constants A, B and C.
(b) Hence, or otherwise, expand
+ 5x - 10)/(x - 1)(x + 2) in ascending powers of x, as far as the term in x2
. Give each coefficient as a simplified fraction.
More Questions and Video Solutions
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.