Engineering Mathematics 4 Episode 5 pptx

... 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 m Problem ... speed/time is shown in Fig. 20.3. 30 25 Graph of speed/time 20 15 Speed (m/s) 10 5 0 12 3 Time (seconds) 45 6 2 .5 4. 0 7.0 15. 0 5. 5 8. 75 10. 75...

Ngày tải lên: 13/08/2014, 08:21

... 0.62e 4. 178 [(a) 5. 0988 (b) 0.0 640 37 (c) 40 .44 6] In Problems 5 and 6, evaluate correct to 5 decimal places: 5. (a) 1 7 e 3 .46 29 (b) 8 .52 e 1.2 651 (c) 5e 2.6921 3e 1.1171  (a) 4. 55 848 (b) 2 .40 444 (c) 8. 051 24  6. ... C x 2 2! C x 3 3! C x 4 4! CÐÐÐ Hence e 0 .5 D 1 C0 .5 C 0 .5 2 21 C 0 .5 3 321 C 0 .5 4 4 321 C 0 .5 5 5 4 321...

Ngày tải lên: 13/08/2014, 08:21

... in megapascals for 15 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 ... 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...

Ngày tải lên: 13/08/2014, 08:21

... 150 kPa the constant is given by 3 ð 150  D 45 0 kPa m 3 or 45 0 kJ. Hence p v D 45 0, or p D 45 0 v Work done D  6 2 45 0 v dv D [ 45 0 ln v] 6 2 D 45 0[ln 6 ln 2] D 45 0 ln 6 2 D 45 0 ln 3 D 49 4 .4kJ Problem ... 1toC4 R.m.s. deviation D  1 4 1  4 1 y 2 dx D  1 5  4 1 2x 2  1 2 dx D  1 5  4 1 4x 4  4x 2 C 1dx D  1 5  4x 5 5  4x 3 3 C x...

Ngày tải lên: 13/08/2014, 09:20

... of 4 5 8  3 1 4 C 1 2 5 4 5 8  3 1 4 C 1 2 5 D 4 3 C1 C  5 8  1 4 C 2 5  D 2 C 5 ð 5 10 ð 1 C8 ð 2 40 D 2 C 25  10 C16 40 D 2 C 31 40 D 2 31 40 Problem 4. Find the value of 3 7 ð 14 15 Dividing ... curves 44 8 54 . 1 Area under a curve 44 8 54 . 2 Worked problems on the area under a curve 44 9 54 . 3 Further worked problems on the area u...

Ngày tải lên: 13/08/2014, 08:21

... 5 will divide into, is 5x. Multiplying both 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 ... x 2 D 25 is thus written as x = 5 Problem 15. Solve: 15 4t 2 D 2 3 ‘Cross-multiplying’ gives: 15 3 D 24t 2  i.e. 45 D 8t 2 45 8 D t 2 i...

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 5 4 ð3 ð2 4 ð3 ð23 ð2 D 35 (b) 10 C 6 D 10! 6!10 ... annulus). d = 2. 25 cm d = 5 . 45 cm Figure 17. 15 Area of shaded part D area of large circle  area of small circle D D 2 4  d 2 4 D  4 D...

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. 758 8 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. 54 2...

Ngày tải lên: 13/08/2014, 08:21

... 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 ... equa- tion 4x 2 D4x C 15, i.e. 4x 2 C 4x  15 D 0. This is shown in Fig. 30.9, where the roots are x D2 .5 and x D 1 .5 as before. y 30 25 20 15 10 5 0 −3 −2 −112...

Ngày tải lên: 13/08/2014, 08:21

... theorem: 7 Cj5 4 D [ p 74 6 144 .46 ° ] 4 D p 74 4 6 4 ð 144 .46 ° D 54 7 6 6 57 7. 84 ° D 54 7 6 66 217. 84 ° or 54 7 6 66 217 ° 15  in polar form. Since r 6  D r cos  C jr sin Â, 54 7 6 6 217. 84 ° D 54 7 6 cos ... Cj1.000 5 6 45 ° D 5 cos 45 °  Cj sin 45 °  D 5cos 45 °  Cj5sin 45 °  D 3 .53 6 j3 .53 6 4 6 120 ° D 4 cos 120 ° C j sin 120...

Ngày tải lên: 13/08/2014, 08:21