Find, to 2 decimal places, the values of x in the interval 0 = x < p for which

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tan 2x = 3. Find, in terms of p, the values of y in the interval 0 = y < 2p for which. 2 sin y = tan y. Document Preview: FOR OCR GCE Examinations Advanced /Advanced Subsidiary Core Mathematics C2 Paper H Time: 1 hour 30 minutes INSTRUCTIONS TO CANDIDATES • Answer all the questions. • Give non-exact numerical answers correct to 3 significant figures, unless a different degree of accuracy is specified in the question or is clearly appropriate. • You are permitted to use a graphic calculator in this paper. INFORMATION FOR CANDIDATES • The number of marks is given in brackets [ ] at the end of each question or part question. • The total number of marks for this paper is 72. • You are reminded of the need for clear presentation in your answers. Written by Shaun Armstrong ? Solomon Press These sheets may be copied for use solely by the purchaser’s institute. ? Solomon Press C2H page 2 1. f(x) = 3x3 - 2x2 + kx + 9. Given that when f(x) is divided by (x + 2) there is a remainder of -35, (i) find the value of the constant k, [2] (ii) find the remainder when f(x) is divided by (3x - 2). [2] 2. y y = 4x + 1x O 1 4 x The diagram shows the curve with equation y = 4x + 1x , x > 0. Use the trapezium rule with three intervals, each of width 1, to estimate the area of the shaded region bounded by the curve, the x-axis and the lines x = 1 and x = 4. [4] 3. The sides of a triangle have lengths of 7 cm, 8 cm and 10 cm. Find the area of the triangle correct to 3 significant figures. [5] 4. Find all values of x in the interval 0 = x < 360° for which 2 sin2 x - 2 cos x - cos2 x = 1, giving non-exact answers to 1 decimal place. [8] ? Solomon Press C2H page 3 5. (i) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 13 )x. [1] (ii) Sketch on the same diagram the curves y = ( 13 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes. [3] The curves y = ( 13 )x and y = 2(3x) intersect at the point P. (iii) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is 2. [5] 6. Evaluate (i) 4 1 ?... Attachments: OC2-H.pdf