Random variable x has a normal distribution with mean

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Unformatted text preview: ices κn, m a complete bipartite graph with one set of n vertices and another set of m vertices the set of equivalence classes {0, 1, 2, …, p – 1} of integers modulo p p gcd(a, b) lcm(a, b) the least common multiple of integers a and b AG the adjacency matrix of graph G CG 3. the greatest common divisor of integers a and b the cost adjacency matrix of graph G (a) Factorise x2 – 3x – 10. (b) Solve the equation x1 – 3x – 10 = 0. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 11 4. The diagram represents the graph of the function f : x a (x – p) (x – q). y –1 2 2 x C (a) Write down the values of p and q. (b) The function has a minimum value at the point C. Find the x-coordinate of C. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 12 5. Find the equation of the normal to the curve with equation y = x3 + 1 at the point (1,2). Working: Answers: ………………………………………….. (Total 4 marks) 6. Find the sum of the arithmetic series 17 + 27 + 37 +...+ 417. Working: Answers: ………………………………………….. (Total 4 marks) 13 Å Ø7. A triangle has sides of length 4, 5, 7 units. Find, to the nearest tenth of a degree, the size of the largest angle. Working: Answers: ....…………………………………….......... (Total 4 marks) 8. The graph represents the function f: x a p cos x, p ∈ . y 3 π 2 x –3 14 Find (a) the value of p; (b) the area of the shaded region. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 9. 2p 3 If A = − 4 p p and det A = 14, find the possible values of p. Working: Answers: ....…………………………………….......... (Total 4 marks) 15 10. O is the centre of the circle which has a radius of 5.4 cm. O A B The area of the shaded sector OAB is 21.6 cm2. Find the length of the minor arc AB. Working: Answers: ....…………………………………….......... (Total 4 marks) 11. ABCD is a rectangle and O is the midpoint of [AB]. D A C O B 16 Express each of the following vectors in terms of OC and OD (a) CD (b) OA (c) AD Working: Answers: (a) ………………………………………….. (b) .................................................................. (c) …………………………………….......... (Total 4 marks) 17 12. Solve the equation 9x–1 = 1 3 2x . Working: Answers: ....…………………………………….......... (Total 4 marks) 13. Find the coefficient of x5 in the expansion of (3x – 2)8 Working: Answers: ....…………………………………….......... (Total 4 marks) 14. Differentiate with respect to x (a) 3 − 4x 18 (b) esin x Working: Answers: (a) ………………...
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This note was uploaded on 06/24/2013 for the course HISTORY exam taught by Professor Apple during the Fall '13 term at Berlin Brothersvalley Shs.

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