Engineering Mathematics 4 Episode 10 ppsx

... 171.1 xy x 2 y 2 45 9.2 43 .2 48 86  744 .8 25.7 21580 8.9 9 .4 8 4. 3 0 3733 46 .5 3.7 581  242 .1 24. 3 241 1 6 74. 8 62.9 7 242  xy D2172  x 2 D 169.2  y 2 D 40 441 Thus r D 2172 p 169.2 40 441 D −0.830 This ... 3025 30 10 900 16 15 256 12 20 144 11 25 121 9 30 81 7 35 49 5 40 25  X D 145  Y D 180  X 2 D 46 01 XY Y 2 275 25 300 100 240 225 240 40 0 275 62...

Ngày tải lên: 13/08/2014, 09:20

... 0100 4 4 5 0101 5 5 6 0 110 6 6 7 0111 7 7 8 100 0 10 8 9 100 1 11 9 10 1 010 12 A 11 101 1 13 B 12 1100 14 C 13 1101 15 D 14 1 110 16 E 15 1111 17 F 16 100 00 20 10 17 100 01 21 11 18 100 10 22 12 19 100 11 ... 13 20 101 00 24 14 21 101 01 25 15 22 101 10 26 16 23 101 11 27 17 24 1100 0 30 18 25 1100 1 31 19 26 1101 0 32 1A 27 1101 1 33 1B 28 1 1100 34 1C 29 1 1...

Ngày tải lên: 13/08/2014, 08:21

... is: (a) 2 74. 7 m (b) 36 .4 m (c) 34. 3 m (d) 94. 0 m 32. (7, 141 ° ) in Cartesian co-ordinates is: (a) (5 .44 , 4. 41) (b) (5 .44 , 4. 41) (c) (5 .44 , 4. 41) (d) (5 .44 , 4. 41) 33. If tanA D 1 .42 76, sec ... x D 6.3680 3.7588 D 1.6 942 i.e. tan x D 1.6 942 , and x D tan 1 1.6 942 D 59 .44 9 ° or 59 ° 27  [Check: LHS D 4sin59. 44 9 °  20 °  D 4sin39 .44 9 ° D 2. 542 RHS D 5co...

Ngày tải lên: 13/08/2014, 08:21

... shown below. t 10 20 30 40 50 60 80 100 s 4. 9 7.6 11.1 15 .4 20 .4 26 .4 40.6 58.0 s 3 t 0.19 0.23 0.27 0.31 0.35 0.39 0 .47 0.55 240 ENGINEERING MATHEMATICS Stress s N/cm 2 8 .46 8. 04 7.78 Temperature ... 2x 2  3x  4and y D 2 4x y D 2x 2 3x 4 is a parabola and a table of values is drawn up as shown below: x 2 101 2 3 2x 2 8202818 3x 6303 6 9 4 4 4 4 4 4 4...

Ngày tải lên: 13/08/2014, 08:21

... 10 3 (b) 0.375 m 2 (c) 240 10 3 Pa  60 ENGINEERING MATHEMATICS Check: LHS D 3 4  2 D 3 6 D 1 2 RHS D 4 3 4 C 4 D 4 12 C4 D 4 8 D 1 2 Hence the solution t D 4 is correct. Problem 12. ... sides by 5x gives: 5x  3 x  D 5x  4 5  Cancelling gives: 15 D 4x1 15 4 D 4x 4 i.e. x D 15 4 or 3 3 4 Check: LHS D 3 3 3 4 D 3 15 4 D 3  4 15  D 12 15 D 4 5 D...

Ngày tải lên: 13/08/2014, 08:21

... 5 log 10 3 x log 10 2 Clog 10 2 D 2x log 10 3 5log 10 3 x0.3 010 C 0.3 010 D 2x0 .47 71  50 .47 71 i.e. 0.3010x C 0.3 010 D 0.9 542 x  2.3855 Hence 2.3855 C0.3 010 D 0.9 542 x  0.3010x 2.6865 ... log 10 41 .15 3.2log 10 x D log 10 41 .15 Hence log 10 x D log 10 41 .15 3.2 D 0.5 044 9 Thus x D antilog 0.5 044 9 D 10 0.5 044 9 D 3.195 correct to 4 signifi...

Ngày tải lên: 13/08/2014, 08:21

... /! Thus, 4 P 2 D 4 3 D 12 or 4 P 2 D 4! 4 2! D 4! 2! D 4 ð3 ð2 2 D 12 Problem 19. Evaluate: (a) 7 C 4 (b) 10 C 6 (a) 7 C 4 D 7! 4! 7 4 ! D 7! 4! 3! D 7 ð6 ð5 4 ð3 ð2 4 ð3 ð23 ð2 D 35 (b) 10 C 6 D 10! 6! 10 ... decimal places. [2. 742 , 4. 742 ] 2. 3x 3  10x D 14, correct to 4 significant figures. [2.313] 3. x 4  3x 3 C 7x D 12, correct to 3 decimal pl...

Ngày tải lên: 13/08/2014, 08:21

... 1.0724x 0. 344 3x C 0. 344 3120 D 1.0724x 0. 344 3120 D 1.07 24 0. 344 3x 41 .316 D 0.7281x x D 41 .316 0.7281 D 56. 74 m From equation (2), height of building, h D 1.0724x D 1.07 24 56. 74 D 60 .85 ... theorem: 41 2 D 9 2 CYZ 2 from which YZ D p 41 2  9 2 D 40 units. Thus, sin X = 40 41 ,tanX = 40 9 = 4 4 9 , cosec X = 41 40 = 1 1 40 ,secX = 41 9 = 4 5 9...

Ngày tải lên: 13/08/2014, 08:21

... [ p 74 6 144 .46 ° ] 4 D p 74 4 6 4 ð 144 .46 ° D 547 6 6 577. 84 ° D 547 6 66 217. 84 ° or 547 6 66 217 ° 15  in polar form. Since r 6  D r cos  C jr sin Â, 547 6 6 217. 84 ° D 547 6 cos 217. 84 ° C j 547 6 ... 2197 6 742 . 14 ° D 2197 6 382. 14 ° since 742 . 14 Á 742 . 14 °  360 ° D 382. 14 °  D 2197 66 22. 14 ° since 382. 14 ° Á 382. 14 °  360 ° D 22. 14...

Ngày tải lên: 13/08/2014, 08:21

... samples of tin were determined and found to be: 34. 61, 34. 57, 34. 40, 34. 63, 34. 63, 34. 51, 34. 49, 34. 61, 34. 52, 34. 55, 34. 58, 34. 53, 34. 44, 34. 48 and 34. 40 Calculate the mean and standard deviation from ... Table 40 .1. PRESENTATION OF STATISTICAL DATA 317 39.5 40 .0 39.8 39.5 39.9 40 .1 40 .0 39.7 40 .4 39.3 40 .7 39.9 40 .2 39.9 40 .0 40 .1 39.7 40 .5 40 .5 39.9...

Ngày tải lên: 13/08/2014, 08:21