Pre-Calc Homework Solutions 227

Pre-Calc Homework Solutions 227 - Chapter 5 Review 18. (a)...

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Unformatted text preview: Chapter 5 Review 18. (a) S10 2.000109517 S100 2.000000011 S1000 2.000000000 (b) n 10 100 1000 (c) ES (d) b ES ES n 10n 10n 227 22. Note that the tank cross-section is represented by the shaded area, not the entire wing cross-section. Using Simpson's Rule, estimate the cross-section area to be Sn 1 [y 4y1 2y2 3 0 1 [1.5 4(1.6) 3 ES 1.09517 1.1 2 4y3 2(1.8) 2.1] 2y4 4y5 y6] 2(2.0) 10 10 8 4 4(1.9) 11.2 ft2 4(2.1) Length 23. Tn h [y 2 0 h[ y0 y1 0 10 ,h 4 (5000 lb) 2y1 ... 1 1 42 lb/ft3 11.2 ft2 10.63 ft yn] ... yn] ES n 4 2y2 yn 1 ... 2 h[y1 2yn y2 1 a 4 4 n4 ,M 5 1 180 n 4 5 180n 4 LRAMn 4 RRAMn 2 180(10n)4 10 ES n 19. (a) f (x) f (x) (b) 2x cos (x 2) 2x 2x sin (x 2) 2 cos (x 2) 4x 2 sin (x 2) 2 cos (x 2) 24. S2n h (y 3 0 4y1 4y2n 2y2 1 4y3 y2n ) ... ... 2y2n 2 1 [h(y0 3 2T2n [ 1, 1] by [ 3, 3] 2y1 MRAMn 3 2y2 y3 2y2n ... b 2n a 1 y2n) y2n 1)] (2h)(y1 y5 , where h . (c) The graph shows that for 1 x 1. (d) ET (e) For 0 (f) n 1 1 ( 1) 2 (h )(3) 12 3 h2 2 h2 2 f (x) 2 so f (x) 3 s Chapter 5 Review (pp. 298301) 1. y 4 h ( 1) h 0.1, ET 2 0.1 0.12 2 0.005 0.01 2 20 20. (a) f (x) f (4)(x) 4x2 2x cos (x 2) 8x sin (x 2) 4x sin (x 2) 8x3 cos (x 2) 12x sin (x 2) 8x3 2x sin (x 2) 24x2 cos (x 2) 12x 2x cos (x 2) 12 sin (x 2) (16x 4 12)sin (x 2) 48x 2 cos (x 2) 2. 1 y 4 2 x (b) [ 1, 1] by [ 30, 10] (c) The graph shows that 30 f (4)(x) so f (4)(x) 30 for 1 x 1. (d) Es (e) For 0 (f) n 21. h 1 1 ( 1) 4 (h )(30) 180 h4 3 10 2 h ( 1) h 0.4, ES 2 0.4 h 3 4 0.4 3 4 1 2 x 0.00853 0.01 LRAM4: 5 1 0 2 15 8 3 21 8 15 4 3.75 24 in. 6 4 [0 3 4 in. Estimate the area to be 4(18.75) 466.67 in2 2(24) 4(26) 2(24) 4(18.75) 0] ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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