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2006-09-22T23:03:20
03. Potencias y raíces de números reales - Microsoft Word
2013-07-05T18:53:49+02:00
2013-07-05T18:53:49+02:00
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Potencias y raíces de números reales
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0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 304.2 630.48 cm
0 0 m
20.4 0 l
S
Q
q
1 0 0 1 334.32 622.8 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 335.52 623.4 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 337.56 619.92 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 340.08 630.48 cm
0 0 m
15.96 0 l
S
Q
BT
/TT5 10.023 Tf
-0.0104 Tc 0 Tw 350.88 620.52 Td
[(x)3591.56(x)4034.519(x)3627.486(x)]TJ
/TT2 10.023 Tf
0.0282 Tc -10.68 0 Td
[(80)4645.076(180)4585.205(45)3699.293(5)]TJ
/TT1 10.023 Tf
0.0171 Tc -13.56 0 Td
[(-)4142.266(+)3735.223(+)]TJ
/TT2 9.96 Tf
0.0305 Tc 63.12 0 Td
(c\) )Tj
ET
q
1 0 0 1 402.36 622.8 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 403.56 623.28 cm
0 0 m
1.8 -5.4 l
S
Q
0.48 w
q
1 0 0 1 405.6 617.88 cm
0 0 m
2.52 15.48 l
S
Q
q
1 0 0 1 408.12 633.36 cm
0 0 m
26.76 0 l
S
Q
q
1 0 0 1 449.28 624 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 450.48 624.48 cm
0 0 m
1.8 -4.68 l
S
Q
0.48 w
q
1 0 0 1 452.52 619.8 cm
0 0 m
2.52 13.56 l
S
Q
q
1 0 0 1 455.04 633.36 cm
0 0 m
16.56 0 l
S
Q
q
1 0 0 1 481.44 622.8 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 482.76 623.28 cm
0 0 m
1.68 -5.4 l
S
Q
0.48 w
q
1 0 0 1 484.68 617.88 cm
0 0 m
2.52 15.48 l
S
Q
q
1 0 0 1 487.2 633.36 cm
0 0 m
37.8 0 l
S
Q
BT
/TT2 7.986 Tf
-0.0327 Tc 519.24 624.96 Td
[(4)1848.349(5)]TJ
-53.16 0 Td
(3)Tj
-36.96 0 Td
(2)Tj
/TT2 9.982 Tf
0.0491 Tc 58.68 -4.44 Td
[(486)4748.644(6)1671.042(5)4027.331(24)]TJ
/TT5 9.982 Tf
0.0081 Tc 26.04 0 Td
[(y)1490.714(x)4688.535(x)4628.435(xy)]TJ
/TT1 9.982 Tf
0.04 Tc -40.2 0 Td
[(+)4231.703(-)]TJ
/TT3 9.96 Tf
0.0517 Tc -0.0217 Tw -402.84 -18.84 Td
(a\))Tj
ET
q
1 0 0 1 152.04 603.96 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 153.36 604.44 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 155.28 600.96 cm
0 0 m
2.52 10.68 l
S
Q
q
1 0 0 1 157.8 611.64 cm
0 0 m
7.44 0 l
S
Q
BT
/TT6 10 Tf
0.04 Tc 0 Tw 159.24 601.68 Td
(x)Tj
0 Tc -21.72 0 Td
[(y)2532(y)1968(y)]TJ
/TT3 10 Tf
0.03 Tc 10.68 0 Td
(\))Tj
0.04 Tc -61.92 0 Td
(1)Tj
0.03 Tc -3.12 0 Td
(\()Tj
/TT3 8 Tf
-0.04 Tc 59.64 4.44 Td
[(3)3090(2)]TJ
/TT4 10 Tf
0.03 Tc -13.92 -4.44 Td
[(-)2652(+)2088(+)]TJ
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 97.92 0 Td
(b\))Tj
ET
q
1 0 0 1 245.4 604.08 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 246.72 604.56 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 248.64 601.08 cm
0 0 m
2.52 10.68 l
S
Q
q
1 0 0 1 251.16 611.76 cm
0 0 m
12.36 0 l
S
Q
BT
/TT6 10.023 Tf
0.0282 Tc 0 Tw 257.64 601.68 Td
(x)Tj
/TT3 10.023 Tf
-6 0 Td
[(5)1676.052(6)]TJ
/TT3 9.96 Tf
0.0305 Tc 138.12 0 Td
(c\))Tj
ET
q
1 0 0 1 478.2 603.96 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 479.4 604.44 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 481.44 600.96 cm
0 0 m
2.4 10.68 l
S
Q
q
1 0 0 1 483.84 611.64 cm
0 0 m
12.48 0 l
S
Q
BT
/TT6 10 Tf
0.04 Tc 490.32 601.68 Td
(x)Tj
0 Tc -26.76 0 Td
(y)Tj
0.04 Tc -11.88 0 Td
[(x)2544(x)]TJ
0 Tc -40.08 0 Td
(y)Tj
/TT3 10 Tf
0.04 Tc 72.72 0 Td
(6)Tj
0.03 Tc -9.96 0 Td
(\))Tj
0.04 Tc -28.56 0 Td
[(9)2556(5)2508(4)]TJ
0.03 Tc -44.16 0 Td
(\()Tj
/TT3 8 Tf
-0.04 Tc 67.32 4.44 Td
[(2)1905(2)]TJ
/TT4 10 Tf
0.03 Tc -30.6 -4.44 Td
[(+)2580(-)]TJ
/TT2 9.96 Tf
0.05 Tc -387.12 -19.92 Td
(27.)Tj
0.0074 Tc 0.0226 Tw 19.56 0 Td
(Racionaliza las siguientes fracciones.)Tj
0.0305 Tc 0 Tw 0 -21.48 TD
(a\))Tj
ET
q
1 0 0 1 84.36 553.44 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 85.68 553.92 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 87.6 550.56 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 90.12 561.12 cm
0 0 m
5.64 0 l
S
Q
q
1 0 0 1 83.16 562.8 cm
0 0 m
13.68 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 90.48 551.16 Td
(5)Tj
-2.88 15.48 Td
(2)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 54.12 -6.36 Td
(b\) )Tj
ET
q
1 0 0 1 155.76 553.44 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 156.96 553.92 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 159 550.56 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 161.52 561.12 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 154.56 562.8 cm
0 0 m
14.28 0 l
S
Q
BT
/TT5 10 Tf
0 Tc 0 Tw 162.6 551.16 Td
(x)Tj
/TT2 10 Tf
0.04 Tc -3.36 15.48 Td
(6)Tj
/TT2 9.96 Tf
0.0305 Tc 60.48 -6.36 Td
(c\) )Tj
ET
q
1 0 0 1 238.44 553.44 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 239.76 553.92 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 241.68 550.56 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 244.2 561.12 cm
0 0 m
5.52 0 l
S
Q
q
1 0 0 1 232.08 562.8 cm
0 0 m
18.72 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 244.56 551.16 Td
[(3)1668(4)]TJ
-5.52 15.48 Td
(5)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 58.56 -6.36 Td
(d\) )Tj
ET
q
1 0 0 1 316.2 553.44 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 317.4 553.92 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 319.44 550.56 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 321.96 561.12 cm
0 0 m
5.64 0 l
S
Q
q
1 0 0 1 310.44 562.8 cm
0 0 m
18.24 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 0 Tw 322.32 551.16 Td
[(5)1644(3)]TJ
-8.16 15.48 Td
(10)Tj
/TT2 9.96 Tf
0.0305 Tc 61.44 -6.36 Td
(e\) )Tj
ET
q
1 0 0 1 401.28 568.92 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 402.6 569.4 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 404.64 566.04 cm
0 0 m
2.4 10.44 l
S
Q
q
1 0 0 1 407.04 576.48 cm
0 0 m
5.76 0 l
S
Q
q
1 0 0 1 395.28 553.44 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 396.6 553.92 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 398.64 550.44 cm
0 0 m
2.4 10.56 l
S
Q
q
1 0 0 1 401.04 561 cm
0 0 m
5.52 0 l
S
Q
q
1 0 0 1 387.96 562.8 cm
0 0 m
25.8 0 l
S
Q
BT
/TT2 9.975 Tf
0.0525 Tc 401.4 551.16 Td
(3)Tj
6 15.48 Td
[(5)2478.194(1)]TJ
/TT1 9.975 Tf
0.0437 Tc -13.92 0 Td
(+)Tj
/TT2 9.96 Tf
-0.0167 Tc 0.0467 Tw 60 -6.36 Td
(f\) )Tj
ET
q
1 0 0 1 479.76 568.92 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 480.96 569.4 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 483 566.04 cm
0 0 m
2.52 10.44 l
S
Q
q
1 0 0 1 485.52 576.48 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 472.8 553.44 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 474 553.92 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 476.04 550.44 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 478.56 561 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 464.64 562.8 cm
0 0 m
28.2 0 l
S
Q
BT
/TT5 9.975 Tf
0.0111 Tc 0 Tw 479.64 551.16 Td
(x)Tj
6.96 15.48 Td
(x)Tj
/TT1 9.975 Tf
0.0437 Tc -14.52 0 Td
(-)Tj
/TT2 9.975 Tf
0.0525 Tc -6.6 0 Td
(2)Tj
/TT3 9.96 Tf
0.0517 Tc -0.0217 Tw -394.68 -38.16 Td
(a\) )Tj
ET
q
1 0 0 1 90 537.12 cm
0 0 m
1.32 0.84 l
S
Q
0.96 w
q
1 0 0 1 91.32 537.6 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 93.24 534.12 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 95.76 544.92 cm
0 0 m
6 0 l
S
Q
q
1 0 0 1 83.64 530.88 cm
0 0 m
19.08 0 l
S
Q
BT
/TT3 10 Tf
0.04 Tc 0 Tw 90.72 520.56 Td
(5)Tj
5.52 14.28 Td
[(5)1680(2)]TJ
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 45.48 -6.36 Td
(b\) )Tj
ET
q
1 0 0 1 161.4 537.12 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 162.6 537.6 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 164.64 534.12 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 167.16 544.92 cm
0 0 m
7.32 0 l
S
Q
q
1 0 0 1 155.16 530.88 cm
0 0 m
20.28 0 l
S
Q
BT
/TT6 10 Tf
0.04 Tc 0 Tw 163.08 520.56 Td
(x)Tj
5.4 14.28 Td
(x)Tj
/TT3 10 Tf
-12.72 0 Td
(6)Tj
/TT3 9.96 Tf
0.0305 Tc 63.96 -6.36 Td
(c\) )Tj
ET
q
1 0 0 1 238.32 537.24 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 239.52 537.72 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 241.56 534.24 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 244.08 545.04 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 232.08 531 cm
0 0 m
19.08 0 l
S
Q
BT
/TT3 10.014 Tf
0.0331 Tc 236.4 520.68 Td
(12)Tj
8.28 14.28 Td
[(3)1701.653(5)]TJ
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 52.92 -6.48 Td
(d\) )Tj
ET
q
1 0 0 1 317.4 537.12 cm
0 0 m
1.32 0.84 l
S
Q
0.96 w
q
1 0 0 1 318.72 537.6 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 320.64 534.12 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 323.16 544.92 cm
0 0 m
6 0 l
S
Q
q
1 0 0 1 311.04 530.88 cm
0 0 m
19.08 0 l
S
Q
BT
/TT3 10 Tf
0.04 Tc 0 Tw 318.24 520.56 Td
(3)Tj
5.4 14.28 Td
[(5)1680(2)]TJ
/TT3 9.96 Tf
0.0305 Tc 51.96 -6.36 Td
(e\) )Tj
ET
q
1 0 0 1 389.16 537.12 cm
0 0 m
1.32 0.84 l
S
Q
0.96 w
q
1 0 0 1 390.48 537.6 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 392.4 534.12 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 394.92 544.92 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 411.12 537.12 cm
0 0 m
1.32 0.84 l
S
Q
0.96 w
q
1 0 0 1 412.44 537.6 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 414.36 534.12 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 416.88 544.92 cm
0 0 m
10.56 0 l
S
Q
q
1 0 0 1 387.96 530.88 cm
0 0 m
40.44 0 l
S
Q
BT
/TT3 10 Tf
0.04 Tc 405.84 520.56 Td
(3)Tj
11.04 14.28 Td
[(15)3144(3)]TJ
/TT4 10 Tf
0.03 Tc -13.68 0 Td
(+)Tj
/TT3 9.96 Tf
0.0433 Tc -0.0133 Tw 50.28 -6.36 Td
(f\) )Tj
ET
q
1 0 0 1 471 537.12 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 472.2 537.6 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 474.24 534.12 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 476.76 544.92 cm
0 0 m
7.44 0 l
S
Q
q
1 0 0 1 464.64 530.88 cm
0 0 m
35.76 0 l
S
Q
BT
/TT6 10 Tf
0.04 Tc 0 Tw 480.36 520.56 Td
(x)Tj
14.04 14.28 Td
[(x)2124(x)]TJ
/TT4 10 Tf
0.03 Tc -8.16 0 Td
(-)Tj
/TT3 10 Tf
0.04 Tc -20.76 0 Td
(2)Tj
/TT2 9.96 Tf
0.05 Tc -414.24 -32.28 Td
(28.)Tj
0.0079 Tc 0.0221 Tw 19.56 0 Td
(Halla el valor de las siguientes expresiones.)Tj
0.0305 Tc 0 Tw T*
(a\))Tj
ET
q
1 0 0 1 84.36 474.36 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 85.68 474.84 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 87.6 471.48 cm
0 0 m
2.52 10.44 l
S
Q
q
1 0 0 1 90.12 481.92 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 83.16 483.6 cm
0 0 m
14.16 0 l
S
Q
q
1 0 0 1 106.92 483.6 cm
0 0 m
6.48 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 107.76 473.28 Td
(2)Tj
-0.12 14.16 Td
(1)Tj
-16.92 -15.48 Td
(2)Tj
-2.88 15.48 Td
(3)Tj
/TT1 10 Tf
0.03 Tc 11.52 -6.36 Td
(+)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 42.36 0 Td
(b\) )Tj
ET
q
1 0 0 1 155.76 474.24 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 157.08 474.72 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 159 471.24 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 161.52 481.8 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 154.56 483.6 cm
0 0 m
14.16 0 l
S
Q
q
1 0 0 1 179.4 489.84 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 180.72 490.32 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 182.64 486.96 cm
0 0 m
2.52 10.32 l
S
Q
q
1 0 0 1 185.16 497.28 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 178.2 483.6 cm
0 0 m
14.16 0 l
S
Q
BT
/TT2 9.975 Tf
0.0525 Tc 0 Tw 182.88 473.28 Td
(4)Tj
2.88 14.16 Td
(2)Tj
-23.76 -15.48 Td
(7)Tj
-2.76 15.48 Td
(3)Tj
/TT1 9.975 Tf
0.0437 Tc 11.52 -6.36 Td
(-)Tj
/TT2 9.96 Tf
0.0305 Tc 48.96 0 Td
(c\) )Tj
ET
q
1 0 0 1 233.28 474.24 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 234.6 474.72 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 236.52 471.36 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 239.04 481.92 cm
0 0 m
5.52 0 l
S
Q
q
1 0 0 1 232.08 483.6 cm
0 0 m
13.44 0 l
S
Q
q
1 0 0 1 256.44 474.36 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 257.76 474.84 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 259.68 471.48 cm
0 0 m
2.52 10.44 l
S
Q
q
1 0 0 1 262.2 481.92 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 255.24 483.6 cm
0 0 m
14.16 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 262.8 471.96 Td
(2)Tj
-2.88 15.48 Td
(3)Tj
-20.52 -15.48 Td
(3)Tj
-3 15.48 Td
(2)Tj
/TT1 10 Tf
0.03 Tc 11.28 -6.36 Td
(+)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 49.92 0 Td
(d\) )Tj
ET
q
1 0 0 1 311.64 474.24 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 312.84 474.72 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 314.88 471.36 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 317.4 481.92 cm
0 0 m
5.52 0 l
S
Q
q
1 0 0 1 310.44 483.6 cm
0 0 m
13.44 0 l
S
Q
q
1 0 0 1 339.96 474.24 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 341.16 474.72 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 343.2 471.36 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 345.72 481.92 cm
0 0 m
5.52 0 l
S
Q
q
1 0 0 1 333.6 483.6 cm
0 0 m
18.6 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 0 Tw 346.08 471.96 Td
[(3)1668(2)]TJ
-5.64 15.48 Td
(1)Tj
-22.68 -15.48 Td
(3)Tj
-3 15.48 Td
(2)Tj
/TT1 10 Tf
0.03 Tc 11.28 -6.36 Td
(+)Tj
/TT3 9.96 Tf
0.0517 Tc -0.0217 Tw -255.24 -31.8 Td
(a\) )Tj
ET
q
1 0 0 1 90 458.16 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 91.2 458.64 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 93.24 455.16 cm
0 0 m
2.52 10.68 l
S
Q
q
1 0 0 1 95.76 465.84 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 83.64 451.8 cm
0 0 m
32.52 0 l
S
Q
BT
/TT3 10.014 Tf
0.0331 Tc 0 Tw 97.56 441.48 Td
(2)Tj
13.32 14.28 Td
[(1)1953.306(2)1689.669(3)]TJ
/TT4 10.014 Tf
0.0224 Tc -6.84 0 Td
(+)Tj
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 37.68 -6.48 Td
(b\) )Tj
ET
q
1 0 0 1 165.84 458.04 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 167.16 458.52 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 169.2 455.16 cm
0 0 m
2.4 10.56 l
S
Q
q
1 0 0 1 171.6 465.72 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 192.84 458.04 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 194.04 458.52 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 196.08 455.16 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 198.6 465.72 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 155.16 451.68 cm
0 0 m
50.64 0 l
S
Q
BT
/TT3 10 Tf
0.04 Tc 0 Tw 175.56 441.36 Td
(28)Tj
23.64 14.28 Td
[(2)1716(7)2004(7)2172(12)]TJ
/TT4 10 Tf
0.03 Tc -19.32 0 Td
(-)Tj
/TT3 9.96 Tf
0.0305 Tc 39.84 -6.36 Td
(c\) )Tj
ET
q
1 0 0 1 238.32 457.92 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 239.52 458.4 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 241.56 454.92 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 244.08 465.72 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 265.32 458.04 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 266.52 458.52 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 268.56 455.16 cm
0 0 m
2.4 10.56 l
S
Q
q
1 0 0 1 270.96 465.72 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 232.08 451.68 cm
0 0 m
46.08 0 l
S
Q
BT
/TT3 10 Tf
0.04 Tc 252.72 441.36 Td
(6)Tj
18.96 14.28 Td
[(2)1704(9)2004(3)1704(4)]TJ
/TT4 10 Tf
0.03 Tc -19.44 0 Td
(+)Tj
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 45.36 -6.36 Td
(d\) )Tj
ET
q
1 0 0 1 317.28 457.92 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 318.48 458.4 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 320.52 454.92 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 323.04 465.72 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 311.04 451.68 cm
0 0 m
19.08 0 l
S
Q
BT
/TT3 10 Tf
0.04 Tc 0 Tw 318.12 441.36 Td
(6)Tj
5.52 14.28 Td
[(3)1704(5)]TJ
/TT2 9.96 Tf
0.05 Tc -272.4 -32.28 Td
(29.)Tj
0.0093 Tc 0.0207 Tw 19.56 0 Td
(Multiplica por su conjugada cada una de las expresiones siguientes.)Tj
0.0305 Tc 0 Tw 0 -15.48 TD
(a\))Tj
ET
q
1 0 0 1 97.2 410.16 cm
0 0 m
1.32 0.84 l
S
Q
0.96 w
q
1 0 0 1 98.52 410.76 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 100.44 407.28 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 102.96 417.84 cm
0 0 m
6.36 0 l
S
Q
BT
/TT5 10.023 Tf
-0.0104 Tc 104.04 407.88 Td
(x)Tj
/TT1 10.023 Tf
0.0171 Tc -14.4 0 Td
(-)Tj
/TT2 10.023 Tf
0.0282 Tc -6.72 0 Td
(2)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 58.8 0 Td
(b\))Tj
ET
q
1 0 0 1 154.8 410.16 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 156 410.76 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 158.04 407.28 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 160.56 417.84 cm
0 0 m
6.24 0 l
S
Q
BT
/TT2 10.023 Tf
0.0282 Tc 0 Tw 176.16 407.88 Td
(2)Tj
/TT1 10.023 Tf
0.0171 Tc -7.2 0 Td
(-)Tj
/TT5 10.023 Tf
-0.0104 Tc -7.32 0 Td
(x)Tj
/TT2 9.96 Tf
0.0305 Tc 58.08 0 Td
(c\))Tj
ET
q
1 0 0 1 232.32 410.16 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 233.52 410.64 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 235.56 407.16 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 238.08 417.72 cm
0 0 m
6.24 0 l
S
Q
q
1 0 0 1 254.28 408.96 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 255.48 409.44 cm
0 0 m
1.8 -4.2 l
S
Q
0.48 w
q
1 0 0 1 257.52 405.24 cm
0 0 m
2.52 12.48 l
S
Q
q
1 0 0 1 260.04 417.72 cm
0 0 m
6.96 0 l
S
Q
BT
/TT5 9.979 Tf
0.0093 Tc 261.6 407.88 Td
[(y)2693.674(x)]TJ
/TT1 9.979 Tf
0.0416 Tc -15.12 0 Td
(+)Tj
/TT3 9.96 Tf
0.0517 Tc -0.0217 Tw -175.68 -16.08 Td
(a\))Tj
0.06 Tc -0.03 Tw 10.92 0 Td
(4 )Tj
/TT4 9.96 Tf
0.052 Tc 0 Tw 7.44 0 Td
(-)Tj
/TT3 9.96 Tf
0 Tc 0.03 Tw ( )Tj
/TT6 9.96 Tf
0.06 Tc 0 Tw (x)Tj
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 52.56 0 Td
(b\))Tj
/TT6 9.96 Tf
0.06 Tc 0 Tw 11.4 0 Td
(x)Tj
/TT3 9.96 Tf
0 Tc 0.03 Tw ( )Tj
/TT4 9.96 Tf
0.052 Tc 0 Tw 7.44 0 Td
(-)Tj
/TT3 9.96 Tf
0.06 Tc -0.03 Tw 5.64 0 Td
( 4)Tj
0.0305 Tc 0 Tw 53.52 0 Td
(c\))Tj
/TT6 9.96 Tf
0.06 Tc 10.32 0 Td
(x)Tj
/TT3 9.96 Tf
0 Tc 0.03 Tw ( )Tj
/TT4 9.96 Tf
0.052 Tc 0 Tw 7.44 0 Td
(-)Tj
/TT3 9.96 Tf
0 Tc 0.03 Tw 5.64 0 Td
( )Tj
/TT6 9.96 Tf
0.0178 Tc 0 Tw (y)Tj
/TT2 9.96 Tf
0.05 Tc -191.88 -17.28 Td
(30.)Tj
0.0008 Tc 0.0292 Tw 19.56 0 Td
(Racionaliza l)Tj
0.0108 Tc 0.0192 Tw (as siguientes fracciones.)Tj
0.0305 Tc 0 Tw 0 -21.36 TD
(a\))Tj
ET
q
1 0 0 1 97.56 346.32 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 98.88 346.8 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 100.8 343.44 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 103.32 354 cm
0 0 m
5.76 0 l
S
Q
q
1 0 0 1 83.16 355.68 cm
0 0 m
26.88 0 l
S
Q
BT
/TT2 10 Tf
0.04 Tc 103.68 344.04 Td
[(5)2508(3)]TJ
-9.48 15.48 Td
(2)Tj
/TT1 10 Tf
0.03 Tc -4.2 -15.48 Td
(-)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 51.72 9.12 Td
(b\) )Tj
ET
q
1 0 0 1 168.84 361.8 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 170.04 362.28 cm
0 0 m
1.8 -3.36 l
S
Q
0.48 w
q
1 0 0 1 172.08 358.92 cm
0 0 m
2.4 10.44 l
S
Q
q
1 0 0 1 174.48 369.36 cm
0 0 m
5.76 0 l
S
Q
q
1 0 0 1 155.76 346.32 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 156.96 346.8 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 159 343.32 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 161.52 353.88 cm
0 0 m
6.12 0 l
S
Q
q
1 0 0 1 177.36 346.32 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 178.68 346.8 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 180.6 343.32 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 183.12 353.88 cm
0 0 m
5.52 0 l
S
Q
q
1 0 0 1 154.56 355.68 cm
0 0 m
35.16 0 l
S
Q
BT
/TT2 9.975 Tf
0.0525 Tc 0 Tw 183.48 344.04 Td
[(3)2658.645(7)]TJ
-8.64 15.48 Td
[(5)1648.119(8)]TJ
/TT1 9.975 Tf
0.0437 Tc -5.04 -15.48 Td
(-)Tj
/TT2 9.96 Tf
0.0305 Tc 49.92 9.12 Td
(c\) )Tj
ET
q
1 0 0 1 233.28 346.32 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 234.6 346.8 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 236.52 343.32 cm
0 0 m
2.52 10.56 l
S
Q
q
1 0 0 1 239.04 353.88 cm
0 0 m
6.36 0 l
S
Q
q
1 0 0 1 255.12 345 cm
0 0 m
1.32 0.84 l
S
Q
0.96 w
q
1 0 0 1 256.44 345.6 cm
0 0 m
1.68 -4.32 l
S
Q
0.48 w
q
1 0 0 1 258.36 341.28 cm
0 0 m
2.52 12.6 l
S
Q
q
1 0 0 1 260.88 353.88 cm
0 0 m
6.96 0 l
S
Q
q
1 0 0 1 232.08 355.56 cm
0 0 m
36.72 0 l
S
Q
BT
/TT5 9.975 Tf
0.0111 Tc 262.44 344.04 Td
[(y)2682.705(x)]TJ
/TT1 9.975 Tf
0.0437 Tc -15 0 Td
(-)Tj
/TT2 9.975 Tf
0.0525 Tc 0.48 15.48 Td
(9)Tj
/TT2 9.96 Tf
0.0517 Tc -0.0217 Tw 49.68 -6.36 Td
(d\) )Tj
ET
q
1 0 0 1 323.76 361.8 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 325.08 362.28 cm
0 0 m
1.68 -3.36 l
S
Q
0.48 w
q
1 0 0 1 327 358.92 cm
0 0 m
2.52 10.44 l
S
Q
q
1 0 0 1 329.52 369.36 cm
0 0 m
6.36 0 l
S
Q
q
1 0 0 1 323.64 346.32 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 324.96 346.8 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 327 343.32 cm
0 0 m
2.4 10.56 l
S
Q
q
1 0 0 1 329.4 353.88 cm
0 0 m
6.36 0 l
S
Q
q
1 0 0 1 310.44 355.68 cm
0 0 m
26.4 0 l
S
Q
BT
/TT5 9.975 Tf
0.0111 Tc 0 Tw 330.48 344.04 Td
(x)Tj
0.12 15.48 Td
(x)Tj
/TT1 9.975 Tf
0.0437 Tc -14.52 -15.48 Td
(-)Tj
-0.12 15.48 Td
(+)Tj
/TT2 9.975 Tf
0.0525 Tc -5.76 -15.48 Td
(1)Tj
0 15.48 TD
(1)Tj
/TT3 9.96 Tf
0.0517 Tc -0.0217 Tw -239.4 -41.52 Td
(a\) )Tj
ET
q
1 0 0 1 99 326.76 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 100.32 327.24 cm
0 0 m
1.68 -3.48 l
S
Q
0.48 w
q
1 0 0 1 102.24 323.76 cm
0 0 m
2.52 10.8 l
S
Q
q
1 0 0 1 104.76 334.56 cm
0 0 m
6 0 l
S
Q
q
1 0 0 1 83.64 320.52 cm
0 0 m
28.2 0 l
S
Q
BT
/TT3 10.014 Tf
0.0331 Tc 0 Tw 95.4 310.2 Td
(2)Tj
9.84 14.28 Td
[(5)2576.446(3)]TJ
/TT4 10.014 Tf
0.0224 Tc -14.16 0 Td
(+)Tj
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 50.64 -6.48 Td
(b\))Tj
ET
q
1 0 0 1 162.84 320.28 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 164.04 320.76 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 166.08 317.28 cm
0 0 m
2.52 10.68 l
S
Q
q
1 0 0 1 168.6 327.96 cm
0 0 m
11.16 0 l
S
Q
q
1 0 0 1 189.84 320.28 cm
0 0 m
1.2 0.72 l
S
Q
0.96 w
q
1 0 0 1 191.04 320.76 cm
0 0 m
1.8 -3.48 l
S
Q
0.48 w
q
1 0 0 1 193.08 317.28 cm
0 0 m
2.4 10.68 l
S
Q
q
1 0 0 1 195.48 327.96 cm
0 0 m
10.56 0 l
S
Q
q
160.08 313.8 3.6 17.16 re
h
W n
BT
/TT4 19.438 Tf
-0.0035 Tc 0 Tw 0.5194 0 0 1 160.08 318.12 Tm
(\()Tj
ET
Q
q
206.88 313.8 3.48 17.16 re
h
W n
BT
/TT4 19.438 Tf
-0.0035 Tc 0 Tw 0.5194 0 0 1 206.88 318.12 Tm
(\))Tj
ET
Q
BT
/TT3 10 Tf
0.04 Tc 0 Tw 195.48 318 Td
[(15)3636(35)2436(2)]TJ
/TT4 10 Tf
0.03 Tc -13.68 0 Td
(+)Tj
/TT3 9.96 Tf
0 Tc 0.03 Tw 29.28 0 Td
( )Tj
0.0305 Tc 0 Tw 8.64 0 Td
(c\) )Tj
ET
q
1 0 0 1 240.6 327.6 cm
0 0 m
1.32 0.72 l
S
Q
0.96 w
q
1 0 0 1 241.92 328.08 cm
0 0 m
1.68 -3.48 l
S
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0.48 w
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0 0 m
2.52 10.68 l
S
Q
q
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0 0 m
7.44 0 l
S
Q
q
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0 0 m
1.2 0.72 l
S
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0.96 w
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0 0 m
1.8 -4.32 l
S
Q
0.48 w
q
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0 0 m
2.52 12.72 l
S
Q
q
1 0 0 1 269.64 335.28 cm
0 0 m
7.2 0 l
S
Q
q
237.84 321 3.6 17.04 re
h
W n
BT
/TT4 19.438 Tf
-0.0128 Tc 0.5201 0 0 1 237.84 325.32 Tm
(\()Tj
ET
Q
q
277.68 321 3.48 17.04 re
h
W n
BT
/TT4 19.438 Tf
-0.0128 Tc 0.5201 0 0 1 277.68 325.32 Tm
(\))Tj
ET
Q
q
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0 0 m
48.12 0 l
S
Q
BT
/TT6 10 Tf
0 Tc 262.08 310.2 Td
(y)Tj
0.04 Tc -15.72 0 Td
(x)Tj
0 Tc 25.08 15 Td
(y)Tj
0.04 Tc -23.64 0 Td
(x)Tj
/TT4 10 Tf
0.03 Tc 5.64 -15 Td
(-)Tj
2.4 15 Td
(+)Tj
/TT3 10 Tf
0.04 Tc -23.16 0 Td
(9)Tj
/TT3 9.96 Tf
0.0128 Tc 0.0172 Tw 64.92 -7.2 Td
(d\) )Tj
ET
q
1 0 0 1 330.72 326.64 cm
0 0 m
1.2 0.84 l
S
Q
0.96 w
q
1 0 0 1 331.92 327.12 cm
0 0 m
1.8 -3.48 l
S
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0.48 w
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1 0 0 1 333.96 323.64 cm
0 0 m
2.4 10.8 l
S
Q
q
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0 0 m
7.44 0 l
S
Q
q
1 0 0 1 311.04 320.4 cm
0 0 m
49.2 0 l
S
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BT
/TT6 10 Tf
0.04 Tc 0 Tw 339.96 310.08 Td
(x)Tj
14.28 14.28 Td
[(x)2148(x)]TJ
/TT4 10 Tf
0.03 Tc -22.44 -14.28 Td
(-)Tj
14.16 14.28 Td
[(+)3396(+)]TJ
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0.04 Tc -20.4 -14.28 Td
(1)Tj
-0.48 14.28 Td
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