Intermediate Algebra (11th edition)

44. 
    
    
    
    45. 
        
        
        
        46. 
            
        
        
        
        
    
    
    
    

Chapter 11 Test (page 674)

[11.1]1. 0 2. 3.

4. (a)C (b)A (c)D (d)B
   5.domain: ;

range: 3 4, q 2

1 - q, q 2

3 0, q 2 5 Á, -2, -1, 0, 1, 2,Á 6

x

y

0

4

4

4

4 y > 3x – 12

x^2 < 16 – y^2

–5 x

y

(^04)
2
f(x) = √4 – x
x
y
3
x^2 – 9y^2 = 9
0
1
[8.4]21. [8.5]22. [8.7]23. [8.6]24.
[6.5]25. [9.1, 9.2]26.
[9.3]27. [10.6]28.
[9.4]29. [10.1]30.
[10.4, 10.5]31. (a) 4 (b) 7 [10.4]32.
[10.2]33. (a)$86.8 billion (b)$169.5 billion
[11.1]34.domain: ; range:
[3.6]35. [9.5]36.
[11.5]37. [11.1]38.
[11.3]39. [10.2]40.
SEQUENCES AND SERIES

Section 12.1 (pages 682–684)

1.2, 3, 4, 5, 6 3.4, , 2, , 5.3, 9, 27, 81, 243 7.1, , , ,

9. 
   
   
   
   11. 
       
       
       
       13. 
           
           
           
           15. 
               
               
               
               17. 171
               
               
               
               
           
           
           
           
       
       
       
       
   
   
   
   


10. 4 n 21. 23. 25. 27.$110, $109, $108, $107,

$106, $105; $400 29.$6554 31.

33. 
    
    
    
    35. 
        
    
    
    
    


34. 
    

    Answers may vary for Exercises 39 – 43.

    
    


35. 
    
    
    
    41. 
        
        
        
        43. 45.A sequence is a list
        
        
        
        
    
    
    
    

of terms in a specific order, while a series is the indicated sum of the

terms of a sequence. 47. 9 49. 51. 8036 53. ,

55. 10

Section 12.2 (pages 689–691)

1. 3.not arithmetic 5. 7.5, 9, 13, 17, 21


2. 
   
   
   
   11. 
       
       
       
       13. 
           
       
       
       
       
   
   
   
   


3. 
   
   
   
   17. 76 19. 48 21. 23. 16 25. 6
       27.nrepresents the number of terms. 29. 81 31.- 3 33. 87
   
   
   
   

an= 3 n- 6 - 1

• 2,-6,-10,-14,- 18 an= 5 n- 3 an= 43 n+ 49

d= 1 d=- 5

(^409) a= 6 d= 2
a
4
i= 1
a^ i^2
5
i= 1
a^2 i^1 -^12 i
5
i= 1
1 i+ 22
0 + 6 + 14 + 24 + 36 = 80
3 + 6 + 11 = 20 - 1 + 1 - 1 + 1 - 1 + 1 = 0
4 + 5 + 6 + 7 + 8 = 30
n+ 1
n+ 4
1
3 n

• 8 n

49

0, - (^7023)
3
2 ,
8
3 ,
15
4 ,
24
5, -5, 5, -5, 5 5
1
25
1
16
1
9
1
4
8
5
7
4
5
2

12

x

y

–1 1

(^31)
0
f(x) = 3x
x
y
2
4
0
y^2
16
x^2
4 –= 1
x
y
0
2
2
f(x) = √x – 2
x
y
5
4
25 x + ≤^1
2
16
y^2
x
y
0
3
1
f(x) = –2(x – 1)^2 + 3
x
y
0
5
1
2
f(x) = –3x + 5
1 - q, q 2 3 0, q 2
log
13 x+ 722
4
v= ƒ -^11 x 2 = 23 x- 4
 2 rFkw
kw
e 536
26
2
,  27 f
e
3  233
6
E^15 , -^32 F f
(^75) + (^115) i 0
3210
2
2232

A-30 Answers to Selected Exercises

x

y

03

4

f(x) = ⏐x – 3⏐ + 4

[11.2]6.center:

radius: 4

1 2, - 32 ;

x

y

0

2

–3 4

(x – 2)^2 + (y + 3)^2 = 16

7.center: ; radius: 5 [11.3]8.

[11.2]9. [11.3] 10.

11. 12.ellipse 13.hyperbola 14.circle

15.parabola [11.4]16.

17.

18.

[11.5]19. 20.

Chapters 1–11 Cumulative Review Exercises

(pages 675–676)

[2.1]1. [2.5]2. [2.7]3.

4. [3.2]5. [3.3]6.

[4.1]7. [4.2]8.

[11.4]9. [4.3]10.40 mph

[5.4]11. [5.5]12.

[6.2]13. [6.3]14.

15. [7.1]16.

[7.2]17. 18. [7.5]19. hr [5.1]20.
a^5
4

(^1 15)
1
p
3 c+ 5
1 c+ 521 c+ 32
y- 1
y 1 y- 32
1 a- 3 b 21 a^2 + 3 ab+ 9 b^22
13 x+ 2214 x- 52 1 z^2 + 121 z+ 121 z- 12
3
2 x+ 1
25 y^2 - 30 y+ 9 4 x^3 - 4 x^2 + 3 x+ 5 +
E 1 - 1, 5 2 , A^52 , - 2 BF
51 3, - 326 51 4, 1, - 226
1 - q, - 52 ́ 1 10, q 2 32 3 x+ 2 y=- 13
E^23 F A-q,^35 D^5 - 4, 4^6
x
y
–3
5
1
3
x^2 + 25y^2 ≤ 25
x^2 + y^2 ≤ 9
–2
x
y
0
2
y < x^2 –2
A 222 , - 23 B,A 222 , 23 BF
EA-^222 , -^23 B,A-^222 ,^23 B,
E 1 - 2, - 22 , A^145 , -^25 BF
EA-^12 , -^10 B,^1 5, 1^2 F
x
y
0
–3 3
–2
y
2
x^2
= –√1 – 9
x
y
0
2
4
16 y^2 – 4x^2 = 64
x
y
0
2
3
4 x^2 + 9y^2 = 36
x
y
0
3
–3 3
f(x) = √9 – x^2
1 - 4, 1 2