Of corn whose protein quality may help chickens gain

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Unformatted text preview: ………………… (ii) ………...........……………………… (Total 4 marks) 160 1 6 234. Find the size of the angle between the two vectors and . Give your answer to the 2 – 8 nearest degree. Working: Answers: ………………………………………….. (Total 4 marks) 161 235. A group of ten leopards is introduced into a game park. After t years the number of leopards, N, is modelled by N = 10 e0.4t. (a) How many leopards are there after 2 years? (b) How long will it take for the number of leopards to reach 100? Give your answers to an appropriate degree of accuracy. Give your answers to an appropriate degree of accuracy. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 236. Given the function f(x) = x2 – 3bx + (c + 2), determine the values of b and c such that f(i) = 0 and f′ (3) = 0. Working: Answers: ………………………………………….. (Total 4 marks) 162 2 237. A line passes through the point (4,–1) and its direction is perpendicular to the vector . Find 3 the equation of the line in the form ax + by = p, where a, b and p are integers to be determined. Working: Answers: ………………………………………….. (Total 4 marks) 238. Consider the function f : x a x + 1, x ≥ – 1 (a) Determine the inverse function f –1. (b) What is the domain of f –1? Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 163 2 P 239. Let log10P = x , log10Q = y and log10R = z. Express log10 QR 3 in terms of x , y and z. Working: Answers: ………………………………………….. (Total 4 marks) 240. The diagram shows the graph of y = f(x), with the x-axis as an asymptote. y B(5, 4) x A(–5, –4) (a) On the same axes, draw the graph of y =f(x + 2) – 3, indicating the coordinates of the images of the points A and B. 164 (b) Write down the equation of the asymptote to the graph of y = f(x + 2) – 3. Working: Answers: (b) ………………………………………….. (Total 4 marks) 241. (a) (b) Express 2 cos2 x + sin x in terms of sin x only. Solve the equation 2 cos2 x + sin x = 2 for x in the interval 0 ≤ x ≤ π, giving your answers exactly. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 165 242. Each day a runner trains for a 10 km race. On the first day she runs 1000 m, and then increases the distance by 250 m on each subsequent day. (a) On which day does she run a distance of 10 km in training? (b) What is the total distance she will have run in training by the end of that day? Give your answer exactly. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 m...
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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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