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LISTA_01 - Lista 1 de Clculo Aplicado I e Clculo...

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Lista 1 de alculo Aplicado I e C´ alculo Diferencial e Integral Aplicado I 2006-2 1 Universidade Federal Fluminense EGM - Instituto de Matem´atica GMA - Departamento de Matem´atica Aplicada LISTA 1 - 2006-2 Revis˜ ao: inequa¸c˜ oes, raiz e m´odulo Fun¸c˜ ao: dom´ ınio, imagem e paridade Gr´aficos que envolvem retas, cˆonicas e m´odulo Resolva as inequa¸c˜ oes dos exerc´ ıcios 1. a 12. 1. - 3 x + 1 < 2 x + 5 2. x 2 - 5 x + 6 < 0 3. 2 x 2 - x - 10 > 0 4. 3 x 2 - 7 x + 6 < 0 5. ( x - 1)(1 + x )(2 - 3 x ) < 0 6. 2 x - 1 1 - x < 0 7. x 2 x - 3 3 8. (2 x - 1) 2 < 16 9. x + 1 x > 2 10. x 2 - 7 x + 10 - x 2 + 9 x - 18 0 11. x + 1 2 - x < x x + 3 12. x 2 + x < x 3 + 1 Nos exerc´ ıcios 13. a 20. resolva para x e represente a solu¸c˜ ao na reta num´ erica. 13. | x - 2 | = 4 14. | x + 3 | = | 2 x + 1 | 15. | 2 x + 3 | = 2 x + 3 16. | 3 + 2 x | ≤ 2 17. | 2 x + 5 | > 3 18. | 3 - 4 x | > x + 2 19. fl fl fl fl 1 x - 2 fl fl fl fl fl fl fl fl 5 2 x - 1 fl fl fl fl 20. fl fl x 2 - 5 x fl fl < | x | 2 - | 5 x | Nos exerc´ ıcios 21. a 24. a fun¸c˜ ao real de vari´ avel real ´ e definida por sua express˜ao anal´ ıtica. Determine o seu dom´ ınio.
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