Engineering Mathematics 4 Episode 3 pptx

... x 2 C 4x C 1 D 0[ 3. 732 , 0.268] 2. 2x 2 C 5x  4 D 0[ 3. 137 , 0. 637 ] 3. 3x 2  x  5 D 0 [1 .46 8, 1. 135 ] 4. 5x 2  8x C 2 D 0 [1.290, 0 .31 0] 5. 4x 2  11x C 3 D 0 [2 .44 3, 0 .30 7] 11 .4 Solution of ... 5.2 932 (b) ln 82 .47 3 4. 829 (c) 5.62 ln 32 1.62 e 1.2 942 [(a) 0.277 74 (b) 0.9 13 74 (c) 8.8 941 ] 5. (a) 2. 946 ln e 1.76 lg 10 1 .41 (b) 5e 0.1629 2ln0.001...

Ngày tải lên: 13/08/2014, 08:21

... 1.0724x 0. 34 4 3x C 0. 34 4 3 120 D 1.0724x 0. 34 4 3 120 D 1.07 24 0. 34 4 3 x 41 .31 6 D 0.7281x x D 41 .31 6 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 ... D 4 3 r 3 D 4 3   12.0 2  3 D 9 04. 8cm 3 Surface area of sphere D 4 r 2 D 4  12.0 2  2 D 45 2.4cm 2 (b) Curved surface area of frustum D 1 4...

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 31 7 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 4...

Ngày tải lên: 13/08/2014, 08:21

... 1dx D  1 5  4x 5 5  4x 3 3 C x  4 1 D        1 5  4 5 4 5  4 3 4 3 C 4    4 5 1 5  4 3 1 3 C 1  D  1 5 [ 737 .87  0 .46 7] D  1 5 [ 738 . 34 ] D p 147 .67 D 12.152 ... Evaluate:  4 3 3 x 2  4 dx, correct to 3 significant figures From Problem 9,  4 3 3 x 2  4 dx D 3  1 22 ln  x 2 x C2  4 3 D 3 4...

Ngày tải lên: 13/08/2014, 09:20

... ð 5 2 3 2 D 5 2 3 2 Similarly,  2 5  3 D  5 2  3 D 5 3 2 3 Thus,  4 3  3 ð  3 5  2  2 5  3 D 4 3 3 3 ð 5 2 3 2 5 3 2 3 D 4 3 3 3 ð 5 2 3 2 ð 2 3 5 3 D 2 2  3 ð 2 3 3 3C2 ð 5 3 2 D 2 9 3 5 × ... 5 3 C 3 3 ð 5 3 3 2 ð 5 3 D 3 22 ð 5 5 3 3 4 2 ð 5 4 3 C 3 3 2 ð 5 3 3 D 3 0 ð 5 2 3 2 ð 5 1 C 3 1 ð 5...

Ngày tải lên: 13/08/2014, 08:21

... 2x ł4x C 6x  1 2 C 6x  2. 2x ł4x C6x  1 5  3. 3a 2a ð4a C a [4a1 2a] 4. 3a 2a4a C a [a 3 10a] 5. 2y C 4 ł6y C 3 4 5y  2 3y  3y C12  6. 2y C 4 ł6y C 3 4 5y  2 3y C 12 13y  7. ... 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...

Ngày tải lên: 13/08/2014, 08:21

... 1.92e 1.92x  5 3 sin x 3 f 0 r 1  D f 0 3 D 3 7 2  1.92e 5.76  5 3 sin 1 D 46 3. 7 Thus, r 3 D 3 19 .35 46 3. 7 D 3C 0. 042 D 3. 042 D 3. 04, correct to 3 significant figure Similarly, r 3 D 3. 042  f 3. 042  f 0 3. 042  D ... D 8 .4 36 0 125/180 D 34 .5cm.) THE BINOMIAL SERIES 117 (3. 039 ) 4 may be written in the form 1 Cx n as: 3. 039  4 D 3...

Ngày tải lên: 13/08/2014, 08:21

... 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 A is equal ... rad)] 5. (7, 3) [(7.62, 2 03. 20 ° or (7.62, 3. 55 rad)] 6. (2 .4, 3. 6) [ (4. 33 , 236 .31 ° ) or (4. 33 , 4. 12 rad)] 7. (5, 3) [(5. 83, 32 9. 04 ° ) or...

Ngày tải lên: 13/08/2014, 08:21

... 4 3 2 1012 34 (b) y D x C 2 x 4 3 2 1012 34 y 2 1 0 12 34 5 6 (c) y D x C 5 x 4 3 2 1012 34 y 12 34 5 6789 (d) y D x  3 x 4 3 2 1012 34 y 7 6  5 4 3 2 101 The co-ordinates are plotted ... D 36 0 ° are: (a) 23. 58 ° and 33 6 .42 ° (b) 23. 58 ° and 2 03. 58 ° (c) 156 .42 ° and 33 6 .42 ° (d) 2 03. 58 ° and 33 6 .42 ° 53. ( 3, 7) in polar co-ordinate...

Ngày tải lên: 13/08/2014, 08:21

... two roots are: 3 .61 66 33 .69 ° and 3. 61 66 − 146 .31 ° p 13 6 33 .69 ° D p 13 cos 33 .69 ° C j sin 33 .69 °  D 3. 0 Cj2.0 p 13 6 2 13. 69 ° D p 13 cos 2 13. 69 ° C j sin 2 13. 69 °  D 3. 0 j2.0 Thus, ... Cj5 4 D [ 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 Â D r co...

Ngày tải lên: 13/08/2014, 08:21