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Matemática01 - Matemática Básica (320)

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<strong>Matemática</strong> R:<br />

<strong>Matemática</strong> básica<br />

GABARITO DOS EXERCÍCIOS PROPOSTOS<br />

Capítulo 01<br />

01. a. 8<br />

b. 243<br />

c. 0<br />

d. 1<br />

e. 16<br />

f. 16<br />

g. – 16<br />

h. – 1<br />

i. – 6<br />

j. 1<br />

02. C<br />

03. B<br />

04. B<br />

05. B<br />

06. B<br />

07. D<br />

08. E<br />

09.<br />

a.<br />

b.<br />

10. D<br />

11. D<br />

3<br />

121 = 11<br />

8 = 2<br />

4<br />

c. 625 = 5<br />

3<br />

d. − 27 = − 3<br />

1<br />

e. 0 = 0<br />

f. 2, 25 = 1,<br />

5<br />

g. 0, 04 = 0,<br />

2<br />

3<br />

h. 0, 008 = 0,<br />

2<br />

12. 3 2 > 2 > 2 3<br />

13. a.<br />

b.<br />

14. D<br />

15. E<br />

12<br />

12<br />

432<br />

2<br />

16. D<br />

17. a. 2 21<br />

b. 7<br />

18. C<br />

19. a. 0,44 m 2<br />

b. 22,4 kg<br />

20. C<br />

21.<br />

a.<br />

b.<br />

c.<br />

22. A<br />

23. A<br />

24. D<br />

3<br />

3<br />

2 5<br />

56<br />

8<br />

3<br />

d. 25<br />

e. 3 + 2 2<br />

25. E<br />

26. A<br />

27. a.<br />

1<br />

I.<br />

2 +1 = 2 - 1<br />

II.<br />

III.<br />

Capítulo 02<br />

41.<br />

a. (2x + 3y) 2 = 4x 2 + 12xy + 9y 2<br />

b. (5x – 2y) 2 = 25x 2 – 20xy + 4y 2<br />

c. (3a 2 – b) 2 = 9a 4 – 6a 2 b + b 2<br />

42.<br />

a. (x – 2y) · (x + 2y) = x 2 - 4y 2<br />

b. (a 3 – 2b) · (a 3 + 2b) = a 6 - 4b 2<br />

c. (2xy + z 2 ) · (2xy – z 2 ) = 4x 2 y 2 - z 4<br />

43.<br />

a. (x + 2y) 3 = x 3 + 6x 2 y + 12xy 2 + 8y 3<br />

b. (2x – y) 3 = 8x 3 – 12x 2 y + 6xy 2 – y 3<br />

c. (2x – 2y) 3 = 8x 3 – 24x 2 y + 24xy 2 – 8y 3<br />

44.<br />

4<br />

2 1 x − 1<br />

a. x − =<br />

2 2<br />

x x<br />

2 2 4 4<br />

b. x y x − y<br />

− =<br />

2 2 2 2<br />

y x x y<br />

28. E<br />

29. B<br />

30. C<br />

31. B<br />

32. B<br />

33. E<br />

34. E<br />

1<br />

3 + 2 = 3 - 2<br />

1<br />

n+1 + n = n + 1 - n<br />

b. S = 10<br />

35. E<br />

36. A<br />

37. D<br />

38. B<br />

39. B<br />

40. A<br />

PV-13-14<br />

102

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