algebra-y-trigonom RESUMEN-1127

Vista previa del material en texto

19. 21. 23. 25. 27. 29. 31.
33. 35. 37. 39. x=3, y=2 41. x=–5, y=10 43. x=2, y=–1
45. 47. x=–2, y=1 49. 51. x=–2, y=3, z=5 53.
55. 57. 59. → → 
61. → →
63. → → →
→ 65. 67.
69. x=4.57, y=–6.44, z=–24.07 71. x=–1.19, y=2.46, z=8.27
73. a) ; b) c) d) e) $2002.50
75. Si D=ad-bc 
 0, entonces a 
 0 y d 
 0, o b 
 0 y c 
 0. Suponiendo lo anterior, entonces:
R™=–cr¡+r™
11.5 Ejercicios (página 906)
5. Propia 7. Impropia; 9. Impropia; 11. Impropia; 13.
15. 17. 19. 21.
23. 25. 27.
29. 31. 33. 35. 37.
39. 41. 43. 45.
- 
2
9
x
+
- 
1
3
x2
+
1
6
x - 3
+
1
18
x + 3
- 
8
7
2x + 1
+
4
7
x - 3
x
(x2 + 16)2
+
-16x
(x2 + 16)3
4
x - 2
+
-3
x - 1
+
-1
(x - 1)2
 
-1
x
+
2
x - 3
+
-1
x + 1
1
x2 + 4
+
2x - 1
(x2 + 4)2
3
4
x + 3
+
1
4
x - 1
2
7
3x - 2
+
1
7
2x + 1
2
3
x + 1
+
1
3
(x + 1)
x2 + 2x + 4
1
4
x
+
1
x2
+
- 
1
4
(x + 4)
x2 + 4
-5
x + 2
+
5
x + 1
+
-4
(x + 1)2
1
4
x - 1
+
1
4
(x - 1)2
+
- 
1
4
x + 1
+
1
4
(x + 1)2
1
12
x - 2
+
- 
1
12
(x + 4)
x2 + 2x + 4
1
4
x + 1
+
3
4
x - 1
+
1
2
(x - 1)2
-1
x - 1
+
2
x - 2
1
x
+
-x
x2 + 1
-4
x
+
4
x - 1
1 +
-2(x - 6)
(x + 4)(x - 3)
5x +
22x - 1
x2 - 4
1 +
9
x2 - 4
R1 = - 
b
a
r2 + r1R2 =
a
D
r2R1 =
1
a
r1
1
D
c1
0
0
1
 ` d
-c
-b
a
dS≥1
0
b
a
1
 ∞ 1a
- 
c
D
0
a
D
¥S≥1
0
b
a
D
a
 ∞ 1a
- 
c
a
0
1
¥S£1
c
b
a
d
 † 1a
0
0
1
§Sca
c
b
d
 ` 1
0
0
1
d
[0.10 0.05]B 11,500
17,050
RC158
3
SC 500 700350 500
400 850
SB 500 350 400
700 500 850
R
D 0.02 -0.04 -0.01 0.01-0.02 0.05 0.03 -0.03
0.02 0.01 -0.04 0.00
-0.02 0.06 0.07 0.06
TC 0.01 0.05 -0.010.01 -0.02 0.01
-0.02 0.01 0.03
SE1 2 50 1 2
0 0 0
 5 0 0 10 - 16 16
1
7
1
6
11
42
U
E1 2 50 1 2
0 1 2
 5 0 0 10 - 16 16
1
7
0
3
7
UC1 2 50 -6 -12
0 7 14
 3 0 0 10 1 -1
1 0 3
SC 1 2 51 -4 -7
-3 1 -1
 3 0 0 10 1 0
1 0 0
SC-3 1 -11 -4 -7
1 2 5
 3 1 0 00 1 0
0 0 1
S
D1 15
0 0
 4 115 0
- 
2
3
1
TC 1 15
10 2
 
3
 
1
15
0
0 1
SB15 3
10 2
 ` 1 0
0 1
R
≥1 12
0 0
 4 14 0
- 
1
2
1
¥£1 12
2 1
 
3 14 0
0 1
 §B 4 2
2 1
 ` 1 0
0 1
Rx = 1
3
, y = 1, z =
2
3
x = - 
34
7
, y =
85
7
, z =
12
7
x =
1
2
, y = - 
1
2
, z = 1x =
2
a
, y =
3
a
x =
1
2
, y = 2
F- 
5
7
1
7
3
7
9
7
1
7
- 
4
7
3
7
- 
2
7
 
1
7
VC 3 -3 1-2 2 -1
-4 5 -2
S≥ 1 -1a
-1
2
a
¥
£ 1
-1
 - 
5
2
3
§B 1 -1
-1 2
RC 9 234 13
47 20
Sc5
9
 14
16
dB-2 4 2 8
2 1 4 6
RC-13 7 -12-18 10 -14
17 -7 34
SB25 -9
4 20
R
R104 RESPUESTAS 11.4 Ejercic ios
www.elsolucionario.net
www.elsolucionario.net
www.elsolucionario.net