121616949-math.310 - 87 2 7.2.12 2 7.2.13 ln(10 7.2.14 e...

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296 Appendix B Selected Answers 6.2.18. 18 m/s 6.2.19. 136 475 / 19 156 km/hr 6.2.20. - 50 m/s 6.2.21. 68 m/s 6.2.22. 3800 / 329 210 km/hr 6.2.23. 820 / 329 + 150 57 / 47 210 km/hr 6.2.24. 4000 / 49 m/s 6.2.25. (a) x = a cos θ - a sin θ cot( θ + β ) = a sin β/ sin( θ + β ), (c) ˙ x 3 . 79 cm/s 6.3.1. x 3 = 1 . 475773162 6.3.2. 2 . 15 6.3.3. 3 . 36 6.3.4. 2 . 19 or 1 . 26 6.4.1. Δ y = 65 / 16, dy = 2 6.4.2. Δ y = p 11 / 10 - 1, dy = 0 . 05 6.4.4. dV = 32 π/ 25 6.5.1. c = 1 / 2 6.5.2. c = 18 - 2 6.5.6. x 3 / 3 + 47 x 2 / 2 - 5 x + k 6.5.7. arctan x + k 6.5.8. x 4 / 4 - ln x + k 6.5.9. - cos(2 x ) / 2 + k 7.1.1. 10 7.1.2. 35 / 3 7.1.3. x 2 7.1.4. 2 x 2 7.1.5. 2 x 2 - 8 7.1.6. 2 b 2 - 2 a 2 7.1.7. 4 rectangles: 41 / 4 = 10 . 25, 8 rectangles: 183 / 16 = 11 . 4375 7.1.8. 23 / 4 7.2.1. (16 / 3) x 3 / 2 + C 7.2.2. t 3 + t + C 7.2.3. 8 x + C 7.2.4. - 2 /z + C 7.2.5. 7 ln s + C 7.2.6. (5 x + 1) 3 / 15 + C 7.2.7. ( x - 6) 3 / 3 + C 7.2.8. 2 x 5 / 2 / 5 + C 7.2.9. - 4 / x + C 7.2.10. 4 t - t 2 + C , t < 2; t 2 - 4 t + 8 + C , t
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Unformatted text preview: 87 / 2 7.2.12. 2 7.2.13. ln(10) 7.2.14. e 5-1 7.2.15. 3 4 / 4 7.2.16. 2 6 / 6-1 / 6 7.2.17. x 2-3 x 7.2.18. 2 x ( x 4-3 x 2 ) 7.2.19. e x 2 7.2.20. 2 xe x 4 7.3.1. It rises until t = 100 / 49, then falls. The position of the object at time t is s ( t ) =-4 . 9 t 2 + 20 t + k . The net distance traveled is-45 / 2, that is, it ends up 45 / 2 meters below where it started. The total distance traveled is 6205 / 98 meters. 7.3.2. Z 2 π sin t dt = 0 7.3.3. net: 2 π , total: 2 π/ 3 + 4 √ 3 7.3.4. 8 7.3.5. 17 / 3...
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