LISTA_01 - Lista 1 de C´ alculo Aplicado I e C´ alculo...

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Unformatted text preview: Lista 1 de C´ 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 < 3. 2 x 2- x- 10 > 4. 3 x 2- 7 x + 6 < 5. ( x- 1)(1 + x )(2- 3 x ) < 6. 2 x- 1 1- x < 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 ≤ 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´...
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LISTA_01 - Lista 1 de C´ alculo Aplicado I e C´ alculo...

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