find the binomial expansion of f(x), in ascending powers of x, up to and including the term in x3.
Give each coefficient as a simplified fraction.C4 Edexcel Core Mathematics January 2013 Question 2
(b) Hence calculate
in partial fractions.C4 Edexcel Core Mathematics January 2013 Question 4
(a) Complete the table with the value of y corresponding to x = 3, giving your answer to 4 decimal places.
(b) Use the trapezium rule, with all the values of y in the completed table, to obtain an estimate of the area of the region R, giving your answer to 3 decimal places.
(c) Use the substitution u = 1 + √x, to find, by integrating, the exact area of R.
x = 1 - ½t, y = 2t -1
The curve crosses the y-axis at the point A and crosses the x-axis at the point B.
(a) Show that A has coordinates (0, 3).
(b) Find the x coordinate of the point B.
(c) Find an equation of the normal to C at the point A.
The region R, as shown shaded in Figure 2, is bounded by the curve C, the line x = –1 and the x-axis.
(d) Use integration to find the exact area of R.More Questions
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.