# CÁLCULO PROPORCIONAL El Mundo Multiplicativo

116

(1)

1

(2)

(3)
(4)

(5)

(6)

(7)

(8)
(9)

(10)

(11)

(12)

(13)
(14)

(15)

(16)

(17)
(18)

(19)

1

(20)

1

(21)

1

2

3

4

(22)

1

2

3

4

1 ln(a)

5

(23)

1

2

3

4

1 ln(a)

5

(24)
(25)

(26)

(27)

(28)

(29)
(30)

(31)

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(39)

(40)
(41)

(42)

(43)

(44)
(45)

(46)

(47)

(48)

R{2}

(49)

(50)

(51)

(52)

(53)

0

(54)

0

R{2} x{2}

π 2

(55)

0

R{2} x{2}

π 2

R{2} x{2}

π 2

(56)

0

R{2} x{2}

π 2

R{2} x{2}

π 2

R{2} x{2}

π 2

R{2}

(57)

π 2

π 2

(58)

π 2

π 2

π 2

1 2

π 2

(59)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

(60)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

(61)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

(62)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

(63)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 4

π 2

(64)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 4

π 2

1 2

π 2

(65)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 4

π 2

1 2

π 2

1 4

1 4

(66)

π 2

π 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 2

1 2

π 4

π 2

1 2

π 2

1 4

1 4

(67)

π 2

x

π 4

π

4

{2}

π 4

2

(68)

π 2

x

π 4

π

4

{2}

π 4

2

(69)

π 2

x

π 4

π

4

{2}

π 4

2

{2}

π4

{ 2}

(70)

π 2

x

π 4

π

4

{2}

π 4

2

{2}

π4

{ 2}

(71)

π 2

x

π 4

π

4

{2}

π 4

2

{2}

π4

{ 2}

2

(72)

(73)

(74)

(75)

(76)

(77)

(78)

(79)

0

0

1

ln(x x0)

(80)

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(89)

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(93)

(94)

(95)

(96)
(97)

(98)

(99)

1

2

1

2

1

(100)

(101)

(102)

1

2

1

2

(103)

1

2

1

2

(104)
(105)

0

(106)

0

(107)

0

(108)

0

(109)

12

(110)
(111)
(112)
(113)
(114)

(115)

(116)

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## Referencias

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