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Engineering Mathematics 4 Episode 7

Tham khảo tài liệu 'engineering mathematics 4 episode 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | MULTIPLE CHOICE QUESTIONS ON CHAPTERS 17-26 229 51. The area of triangle PQR is given by a 1 pr cos Q b p s - p s - q s - r . __p q r where s 2 c 2 rq sin P d 2 pq sin Q 52. The values of Ỡ that are true for the equation 5 sin Q 2 0 in the range 0 0 to 6 360 are a 23.58 and 336.42 b 23.58 and 203.58 c 156.42 and 336.42 d 203.58 and 336.42 53. 3 7 in polar co-ordinates is a -7.62 -113.20 b 7.62 246.80 c 7.62 23.20 d 7.62 203.20 54. In triangle ABC in Figure M2.9 length AC is a 14.90 cm b 18.15 cm c 13.16 cm d 14.04 cm Figure M2.9 56. The acute angle sec 12.4178 is equal to a 24.43 b 22.47 c 0.426 rad d 65.57 57. The solution of the equation 3 5 cos2 A 0 for values of A in the range 0 A 360 are a 39.23 and 320.77 b 39.23 140.77 219.23 and 320.77 c 140.77 and 219.23 d 53.13 126.87 233.13 and 306.87 58. An alternating current i has the following values at equal intervals of 2 ms Time t ms 0 2.0 4.0 6.0 Current 1 A 0 4.6 7.4 10.8 Time t ms 8.0 10.0 12.0 Current 1 A 8.5 3.7 0 Charge q in millicoulombs is given by q Jo12 0 idt. Using the trapezoidal rule the approximate charge in the 12 ms period is a 70 mC b 72.1 mC c 35 mC d 216.4 mC 59. In triangle ABC in Figure M2.10 the length AC is a 18.79 cm b 70.89 cm c 22.89 cm d 16.10 cm Figure M2.10 55. The total surface area of a cylinder of length 20 cm and diameter 6 cm is a 56.55 cm2 b 433.54 cm2 c 980.18 cm2 d 226.19 cm2 60. The total surface area of a solid hemisphere of diameter 6.0 cm is a 56.55 cm2 b 339.3 cm2 c 226.2 cm2 d 84.82 cm2 Part 4 Graphs 27 Straight line graphs 27.1 Introduction to graphs A graph is a pictorial representation of information showing how one quantity varies with another related quantity. The most common method of showing a relationship between two sets of data is to use Cartesian or rectangular axes as shown in Fig. 27.1. Figure 27.1 The points on a graph are called co-ordinates. Point A in Fig. 27.1 has the co-ordinates 3 2 i.e. 3 units in the x direction and 2 units in the y direction. .