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
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