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Alg 3 Even Answers For Homework

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<strong>Alg</strong> 3 <strong>Even</strong> <strong>Answers</strong><br />

<strong>For</strong> <strong>Homework</strong><br />

1.6<br />

8. 10<br />

24. 97/36<br />

3<br />

28. 2 6<br />

1.7<br />

22.<br />

5 4 3 2<br />

− 4t + t − 16t + 1/ 4t − 4t<br />

2.5<br />

20. (17/2, -4)<br />

2.7<br />

30.<br />

1±<br />

31<br />

2<br />

3.4<br />

32.<br />

2( S − an)<br />

d =<br />

n( n −1)<br />

50. 7.5 hours<br />

52. 7.5 feet<br />

58. 18 hours<br />

4.1<br />

2. a) Center (3,3) b) Center (-3,3) c) Center (-3,-3) d) Center (3,-3)<br />

5.3<br />

32. 2.2331<br />

6.2<br />

28. o 1 o und 1 und<br />

1 0 und 0 und 1<br />

0 -1 0 und -1 und<br />

-1 0 und 0 und -1


6.3<br />

14. Graph: Amp= 1; Period = pie<br />

16. Graph: Amp=1; period= pie/2<br />

18. Graph: Amp=2; period= 4pie<br />

6.4<br />

10 Graph: Asm @ , 4π , 7π ,<br />

10π<br />

period= pie/2<br />

3 3 3 3<br />

π π π<br />

3 5<br />

, ,<br />

2 2 2<br />

12. Graph: Asm @ − , ,3 ; Hits x axis @ 0,2π<br />

14. Graph: Asm @<br />

π π π Period is 2pie<br />

π<br />

16. Graph: Asm @ , π period=pie<br />

2<br />

6-5<br />

2. 2<br />

π<br />

4. π<br />

π<br />

6.<br />

4<br />

8. 6<br />

π<br />

12. Und<br />

20. Und<br />

24.<br />

30.<br />

32.<br />

50. 3<br />

1<br />

3<br />

π<br />

6<br />

π<br />

6<br />

7.3<br />

40. Done in Class


7.4<br />

4.<br />

⎛ π ⎞ 3<br />

cos ⎜ − ⎟ =<br />

⎝ 6 ⎠ 2<br />

( )<br />

1<br />

24. sin( a + b) = 3+<br />

2 42<br />

20<br />

1<br />

cos( a + b) = 6 6 − 7<br />

20<br />

7.5<br />

4.<br />

( )<br />

3 + 2 42<br />

tan( a + b)<br />

=<br />

6 6 − 7<br />

−<br />

2<br />

8<br />

1<br />

8. ( 2 − 3 )<br />

14.<br />

2<br />

527<br />

−<br />

625<br />

26. Identities<br />

36. Identities<br />

38. Identities<br />

40. Identities<br />

7.6<br />

4.<br />

6.<br />

10.<br />

π 3π<br />

+ kπ;<br />

+ kπ<br />

4 4<br />

π 5π<br />

+ 2 kπ; + 2kπ<br />

6 6<br />

π<br />

+ kπ<br />

3<br />

14. No Solutions<br />

34. 0,π<br />

7 9 15<br />

36.<br />

π , π , π ,<br />

π<br />

8 8 8 8<br />

38. 0,π<br />

π 5π<br />

40. ,<br />

4 4<br />

2π<br />

4π<br />

42. 0, ,<br />

3 3<br />

π 3π<br />

44. ,<br />

2 2<br />

π 7π 11π<br />

46. , ,<br />

2 6 6


48.<br />

50.<br />

π 5π 7π 11π<br />

0, , , π , ,<br />

6 6 6 6<br />

π π 3π 5π 3π 7π<br />

0, , , , π , , ,<br />

4 2 4 4 2 4<br />

8.1<br />

24. 722 meters<br />

9.1<br />

16. (-3,-2,5)<br />

18. No Solutions<br />

10.1<br />

8. Center(0,0); Vertices( ± 3,0); Foci( ± 2 2,0)<br />

12. Center(0,0); Vertices(0, ± 4); Foci(0, ± 7)<br />

10.2<br />

24.<br />

26.<br />

( y − 4) ( x − 4)<br />

2 2<br />

− = 1<br />

9 4<br />

2 2<br />

x y<br />

− = 1<br />

144 25<br />

10.3<br />

18. ( ) 2<br />

20.<br />

2<br />

y + 3 = 8( x + 1); Vertex( −1, −3); Foci(1, − 3); Dir x=-3<br />

y = −6( x − 5); Vertex(5,0); Foci(7 / 2, 2); Dir x=6.5<br />

30. ( ) 2 1<br />

x − 3 = 4( )( y + 2); Vertex(3, −2); focus(3, − 15 /8); Directrix y=-17/8<br />

8

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