PRACTICA 1 - Resuelta
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ARITMÉTICO (1RA PARTE) _x001C_AÑO POBL iP/it 1940 7,276 2,159 21 102.809524 1961 9,435 2,566 11 233.272727 1972 12,001 suma = 336.08 prom = 168.04 1972 12,001.00 1981 13,513.37 Pobl_1981 = 13,514 habitantes GEOMÉTRICO (1RA PARTE) ANO POBL Pf/Pi r 1940 7,276 21 1 1.012 1961 9,435 11 1 1.022 1972 12,001 Num = 2 prod = 1.0343 prom = 1.0170 1972 12,001.00 1981 13,967.09 Pobl_1981 = 13,968 habitantes PARÁBOLA (1RA PARTE) AÑO POBL X X^2 C 1940 7276 0 0 7276 1961 9435 21 441 1972 12001 32 1024 441 A + 21 B = 2159 1024 A + 32 B = 4725 21 A + 1 B = 102.81 32 A + 1 B = 147.66 -11 A + 0 B = -44.85 A = 4.077 B = 17.193 1940 41 1972 12001 1981 14834.35 Pobl_1981 = 14,835 habitantes PROMEDIANDO (1RA PARTE) MA 13,514 MG 13,968 MP 14,835 Pobl_1981 = 14,106 Hab. ΔP Δt Δt
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Transcript of PRACTICA 1 - Resuelta
ARITMÉTICO (1RA PARTE)AÑO POBL iP/it
1940 7,276 2,159 21 102.8095241961 9,435 2,566 11 233.2727271972 12,001
suma = 336.08 prom = 168.04
1972 12,001.00 1981 13,513.37
Pobl_1981 = 13,514 habitantes
GEOMÉTRICO (1RA PARTE)ANO POBL Pf/Pi r
1940 7,276 21 1 1.0121961 9,435 11 1 1.0221972 12,001
Num = 2prod = 1.0343prom = 1.0170
1972 12,001.00 1981 13,967.09
Pobl_1981 = 13,968 habitantes
PARÁBOLA (1RA PARTE)AÑO POBL X X^2 C
1940 7276 0 0 72761961 9435 21 4411972 12001 32 1024
441 A + 21 B = 21591024 A + 32 B = 4725
21 A + 1 B = 102.8132 A + 1 B = 147.66
-11 A + 0 B = -44.85
A = 4.077B = 17.193
1940 411972 120011981 14834.35
Pobl_1981 = 14,835 habitantes
PROMEDIANDO (1RA PARTE)MA 13,514 MG 13,968 MP 14,835
Pobl_1981 = 14,106 Hab.
ΔP Δt
Δt
GEOMÉTRICO (2DA PARTE)AÑO POBL Pf/Pi r
1940 7,276 21 1.2967 1.012450441961 9,435 11 1.2720 1.022110331972 12,001 9 1.1754 1.018118891981 14,106 12 1.1461 1.011429141993 16,167 14 1.2206 1.014342662007 19,734
Num = 5prod = 1.0809prom = 1.0160
2007 19,734.00 2030 28,429.58
Pobl_1981 = 28,430 habitantes
PARÁBOLA (2DA PARTE)AÑO POBL X X^2 C
1981 14106 0 0 141061993 16167 12 1442007 19734 26 676
144 A + 12 B = 2061676 A + 26 B = 5628
12 A + 1 B = 171.7526 A + 1 B = 216.46
-14 A + 0 B = -44.71
A = 3.194B = 133.422
1981 492007 197342030 28312.472
Pobl_1981 = 28,313 habitantes
PARÁBOLA 2º GRADO (2DA PARTE)AÑO POBL ANOp Pn
1940 7276 1940 10 1029 7276.001950 8305 1950 10 1028 8305.001960 9333 1960 1 102 9333.001961 9435 1970 11 2566 11534.451972 12001 1980 9 2105 13872.111981 14106 1990 12 2061 15651.751993 16167 2000 14 3567 17950.502007 19734 2010 19734.00
AÑO Pn (=Y) X X^2 X^3 X^4 X.Y X^2.Y1940 7,276 0 0 0 0 0 01950 8,305 1 1 1 1 8,305 8,3051960 9,333 2 4 8 16 18,666 37,3321970 11,535 3 9 27 81 34,605 103,8151980 13,873 4 16 64 256 55,492 221,9681990 15,652 5 25 125 625 78,260 391,3002000 17,951 6 36 216 1296 107,706 646,236
suma = 83,925 21 91 441 2275 303,034 1,408,956
Num = 7 datos
7 a0 + 21 a1 + 91 a2 = 83,925 1 a0 + 3 a1 + 13 a2 = 11,989.321 a0 + 91 a1 + 441 a2 = 303,034 1 a0 + 4 a1 + 21 a2 = 14,430.291 a0 + 441 a1 + 2275 a2 = 1,408,956 1 a0 + 5 a1 + 25 a2 = 15,483.0
1 a1 + 8 a2 = 2,441 1.0 a0 + 6.00 a2 = 1,830.72 a1 + 12 a2 = 3,494 1.0 a0 + 6.50 a2 = 1,892.4
0.50 a2 = 61.8
a2 = 123.536a1 = 1,089.462a0 = 7,114.933
Hasta 2030 => 9 Décadas
Δt
Δt ΔP
# Décadas 9Pobl = 26,926.51Pobl_2030 = 26,927 habitantes
NORMA LOGÍSTICA (2DA PARTE)AÑO POBL P1980 13873 P01990 15652 P12000 17951 P2
Paso1249034223 '<=' 244985104 NO NO
31824 '<' 35902 CUMPLE
INCREMENTOS VARIABLES (2DA PARTE)AÑO Pobl iP i2P1940 72761950 8305 10291960 9333 1028 -11970 11535 2202 11741980 13873 2338 1361990 15652 1779 -5592000 17951 2299 520
suma = 10675.0 1270.0prom = 1779.2 254.0
20002030
Period 10 añosm = 3
Pobl = 24,050.5Pobl 2030= 24,051.0 Hab.
OMS - (2DA PARTE)2007 197342030
Period 23 años
P = 3.0
Pobl 2030= 38,946.0 Hab.
PROMEDIANDO (2DA PARTE)Geom 28,430 Geom 28,430
Parabola 28,313 Parabola 28,313 Parabola 2G 26,927 Parabola 2G 26,927 Increm Var 24,051 Increm Var 24,051
OMS 38,946 OMS (Descartado)
Pobl_2030 = 29,334 Hab. Pobl_2030 = 26,931 Hab.
DOTACIÓN (LTS/HAB/DIA)POBLACIÓN CLIMA
(# Hab.) FRIO TEMPL/CALIDO2000 A 1000 120 15010000 A 5000 150 200Más de 5000 200 250
PARTE 3
CLIMA: TEMPLADONº HAB. = 26,931 habitantes
Qp = 62.34 lts/s
Qmd = 81.04 lts/s
Qmh = 155.85 lts/s
Vreg = 15.59 lts/sVreg (diario) = 1,346.55 m3/Día
Vres (2h) = 448.85 m3
Vreg + Vres 1,795.40 m3
PARA EL DISEÑO 1,750.00 m3
Alto = 5 mDiámetro = 21.11 m
PARÁBOLA 2º GRADO (2DA PARTE)AÑO POBL ANOp Pn
1940 7276 1940 10 1029 7276.001950 8305 1950 11 1130 8305.001961 9435 1960 11 2566 9201.731972 12001 1970 9 2105 11533.221981 14106 1980 12 2061 13934.251993 16167 1990 7 1784 15402.432000 17951 2000 7 1783 17951.002007 19734 2010
AÑO Pn (=Y) X X^2 X^3 X^4 X.Y1940 7,276 0 0 0 0 01950 8,305 1 1 1 1 8,3051960 9,202 2 4 8 16 18,4041970 11,534 3 9 27 81 34,6021980 13,935 4 16 64 256 55,7401990 15,403 5 25 125 625 77,0152000 17,951 6 36 216 1296 107,706
suma = 83,606 21 91 441 2275 301,772
Num = 7 datos
7 a0 + 21 a1 + 91 a2 = 83,606 1 a0 + 3 a1 + 13 a2 = 21 a0 + 91 a1 + 441 a2 = 301,772 1 a0 + 4 a1 + 21 a2 = 91 a0 + 441 a1 + 2275 a2 = 1,403,190 1 a0 + 5 a1 + 25 a2 =
1 a1 + 8 a2 = 2,426 1.0 a0 + 6.00 a2 = 2 a1 + 12 a2 = 3,476 1.0 a0 + 6.50 a2 =
0.50 a2 =
a2 =a1 =a0 =
# Décadas 9Pobl = 26,895.97Pobl_2030 = 26,896 habitantes
NORMA LOGÍSTICA (2DA PARTE)AÑO POBL P1980 13935 P01990 15403 P12000 17951 P2
Paso1250147185 '<=' 237252409 NO NO
31886 '<' 35902 CUMPLE
INCREMENTOS VARIABLES (2DA PARTE)AÑO Pobl iP i2P
1940 72761950 8305 10291960 9202 897 -1321970 11534 2332 14351980 13935 2401 691990 15403 1468 -9332000 17951 2548 1080
suma = 10675 1519prom = 1779.16667 303.8
20002030
Period 10 anosm = 3
Pobl = 24,199.9Pobl = 24,200.0 Hab.
Δt ΔP
