Engineering Mathematics 4 Episode 7 ppsx

... 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 t ° C 70 200 ... 1.25 0 5 C9x 9 4. 5 0 9 C7.2 7. 2 7. 2 7. 2 7. 2 y D5x 2 C 9x C 7. 2 6.8 1 .45 7. 2 11.2 x 22.53 5x 2 20 31.25 45 C9x 18 22.5 27 C7.2 7. 2 7. 2 7. 2 y D...

Ngày tải lên: 13/08/2014, 08:21

... given: 1. 23.6 C 14. 71 18.9  7 .42 1 [11.989] 2. 73 . 84  113. 2 47 C8.21  0.068 [31.265] 3. 3.8 ð 4. 1 ð0 .7 [10.906] 4. 3 74 . 1 ð 0.006 [2. 244 6] 5. 42 1.8 ł 17, (a) correct to 4 significant figures ... 3 3 ð 3 4 (b) 4 2 ð 4 3 ð 4 4 [(a) 3 7 (b) 4 9 ] 2. (a) 2 3 ð 2 ð2 2 (b) 7 2 ð 7 4 ð 7 7 3 [(a) 2 6 (b) 7 10 ] 3. (a) 2 4 2 3 (b) 3 7 3 2 [(a) 2 (...

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 .75 88 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...

Ngày tải lên: 13/08/2014, 08:21

... 171 .1 xy x 2 y 2 45 9.2 43 .2 48 86  74 4 .8 25 .7 21580 8.9 9 .4 8 4. 3 0 373 3 46 .5 3 .7 581  242 .1 24. 3 241 1 6 74 . 8 62.9 7 242  xy D2 172  x 2 D 169.2  y 2 D 40 441 Thus r D 2 172 p 169.2 40 441 D −0.830 This ... 7. 25 6.25 5 9 4. 25 9.25 3 13 6.25 5.25 12 21 2 .75 2 .75 14 17 4. 75 1.25 7 22 2.25 3 .75 3 31 6.25 12 .75 28 47 18 .75 28 .75...

Ngày tải lên: 13/08/2014, 09:20

... m 3 .  (a) 300 ð10 3 (b) 0. 375 m 2 (c) 240 ð10 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 ... 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...

Ngày tải lên: 13/08/2014, 08:21

... significant figures: (a) 1 4 ln 4. 72 91 (b) ln 7. 8693 7. 8693 (c) 5.29 ln 24. 07 e 0. 176 2 (a) 1 4 ln 4. 72 91 D 1 4 1.55 37 349 D 0 .38 843 , correct to 5 significant figures. (b) ln 7. 8693 7. 8693 D 2.06296911 7. 8693 D ... 321.62 e 1.2 942 [(a) 0. 277 74 (b) 0.913 74 (c) 8.8 941 ] 5. (a) 2. 946 ln e 1 .76 lg 10 1 .41 (b) 5e 0.1629 2ln0.00165 (c) ln 4. 8629 ln 2...

Ngày tải lên: 13/08/2014, 08:21

... 1 or n P r = n! .n − r /! 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 ... decimal places. [2. 74 2 , 4. 74 2 ] 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 p...

Ngày tải lên: 13/08/2014, 08:21

... 1. 072 4x 0. 344 3x C 0. 344 3120 D 1. 072 4x 0. 344 3120 D 1. 07 24 0. 344 3x 41 .316 D 0 .72 81x x D 41 .316 0 .72 81 D 56. 74 m From equation (2), height of building, h D 1. 072 4x D 1. 07 24 56. 74 D 60 .85 ... Â D tan 1 1 .76 29 D 60 .44 ° Measured from 0 ° , the two angles between 0 ° and 360 ° whose tangent is 1 .76 29 are 60 .44 ° and 180 ° C 60 .44 ° ,i.e. 240 ....

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 5 47 6 6 577 . 84 ° D 5 47 6 66 2 17. 84 ° or 5 47 6 66 2 17 ° 15  in polar form. Since r 6  D r cos  C jr sin Â, 5 47 6 6 2 17. 84 ° D 5 47 6 cos ... 21 97 6 74 2 . 14 ° D 21 97 6 382. 14 ° since 74 2 . 14 Á 74 2 . 14 °  360 ° D 382. 14 °  D 21 97 66 22. 14 ° since 382. 14 ° Á 382...

Ngày tải lên: 13/08/2014, 08:21

... A 74 200 ð 86 199 ð 73 198 D 0.0590 BA A 86 200 ð 74 199 ð 73 198 D 0.0590 AA C 74 200 ð 73 199 ð 40 198 D 0.02 74 AC A 74 200 ð 40 199 ð 73 198 D 0.02 74 CA A 40 200 ð 74 199 ð 73 198 D 0.02 74 The ... 36.1(a) Class Tally 70 72 1 73 75 11 76 78 11 79 –81 11 82– 84 1111 85– 87 1 88–90 111 Table 36.1(b) Class Class mid-point Frequency 70 72 71 1 73...

Ngày tải lên: 13/08/2014, 08:21