Sin x ie sin x 1 n n0 x 2 n 1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ¦â€¦.. (b) .................................................................. (c) …………………………………….......... (Total 4 marks) 124 182. The diagram shows a circle of radius 5 cm. 1 radian Find the perimeter of the shaded region. Working: Answers: ....…………………………………….......... (Total 4 marks) 125 183. f(x) = 4 sin 3x + π . 2 For what values of k will the equation f(x) = k have no solutions? Working: Answers: ....…………………………………….......... (Total 4 marks) 184. $1000 is invested at the beginning of each year for 10 years. The rate of interest is fixed at 7.5% per annum. Interest is compounded annually. Calculate, giving your answers to the nearest dollar (a) how much the first $1000 is worth at the end of the ten years; 126 (b) the total value of the investments at the end of the ten years. Working: Answers: (a) ………………………………………….. (b) .................................................................. (Total 4 marks) 185. The triangle ABC is defined by the following information 2 OA = , − 3 3 AB = , AB ⋅ BC = 0, 4 0 AC , is parallel to . 1 127 (a) On the grid below, draw an accurate diagram of triangle ABC. y 4 3 2 1 –2 –1 O 1 2 3 4 5 6 x –1 –2 –3 –4 (b) Write down the vector OC . Working: Answers: (b) .................................................................. (Total 4 marks) 128 186. The diagram shows the graph of the function y = ax2 + bx + c. y x Complete the table below to show whether each expression is positive, negative or zero. Expression positive negative zero a c b2 – 4ac b Working: (Total 4 marks) 129 187. The diagram shows the graph of the function y = 1 + 1 , 0 < x ≤ 4. Find the exact value of the x area of the shaded region. 4 3 1 y = 1+ – x 2 1 13 1 0 1 2 3 4 Working: Answers: ....…………………………………….......... (Total 4 marks) 130 188. A survey is carried out to find the waiting times for 100 customers at a supermarket. waiting time (seconds) 0–30 5 30– 60 15 60– 90 33 90 –120 21 120–150 11 150–180 7 180–210 5 210–240 (a) number of customers 3 Calculate an estimate for the mean of the waiting times, by using an appropriate approximation to represent each interval. (2) (b) Construct a cumulative frequency table for these data. (1) (c) Use the cumulative frequency table to draw, on graph paper, a cumulative frequency graph, using a scale of 1 cm per 20 seconds waiting time for the horizontal axis and 1 cm per 10 customers for the vertical axis. (4) (d) Use the cumulative frequency graph to find estimates for the median and the lower and upper quartiles. (3) (Total 10 marks) 131 189. A rock-climber slips off a rock-face and falls vertically. At first he falls freely, but after 2 seconds a safety rope slows him down. The height h metres of the rock-climber after t seconds of the fall is given by: H = 50 – 5t 2 , H = 90 – 40t + 5t2, (a) 0≤t≤2 2≤t≤5 Fin...
View Full Document

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.

Ask a homework question - tutors are online