C2 January 2010 word.pdf

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1. Find the first 3 terms, in ascending powers of x, of the binomial expansion of(3 − x) 6and simplify each term.(4)2. (a) Show that the equationcan be written in the form(b) Solve, for 0 x < 360,5 sin x = 1 + 2 cos 2 x2 sin 2 x + 5 sin x – 3 = 0.2 sin 2 x + 5 sin x – 3 = 0.(2)(4)3. f(x) = 2x 3 + ax 2 + bx – 6,where a and b are constants.When f(x) is divided by (2x – 1) the remainder is –5.When f(x) is divided by (x + 2) there is no remainder.(a) Find the value of a and the value of b.(b) Factorise f(x) completely.(6)(3)N35101A 2
4.C4 cmA0.6 rad5 cm B4 cmFigure 1DAn emblem, as shown in Figure 1, consists of a triangle ABC joined to a sector CBD of a circlewith radius 4 cm and centre B. The points A, B and D lie on a straight line with AB = 5 cm andBD = 4 cm. Angle BAC = 0.6 radians and AC is the longest side of the triangle ABC.(a) Show that angle ABC = 1.76 radians, correct to three significant figures.(b) Find the area of the emblem.(4)(3)5. (a) Find the positive value of x such thatlog x 64 = 2.(b) Solve for xlog 2 (11 – 6x) = 2 log 2 (x – 1) + 3.(2)(6)N35101A 3 Turn over
Page 1: Paper Reference(s)6664/01Edexcel GC
Page 5 and 6: 7.yCN (5, 4)RLMxFigure 2The curve C
Page 7: 329. The curve C has equation y = 1

C2 January 2010 word.pdf

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