Upload
javier-lara-lema
View
212
Download
0
Embed Size (px)
Citation preview
7/23/2019 Capitulo-2-bakuuuu
1/24
x^3 x^2 x c816 -3835 6000 -3125a1 a2 a3 a4
Rmax 2.72 2.0 intervalo 0.05
k x1 x2 fx1 fx21 2.0000 1.9500 63.0000 42.95052 1.9500 1.9000 42.9505 27.59403 1.9000 1.8500 27.5940 16.31854 1.8500 1.8000 16.3185 8.51205 1.8000 1.7500 8.5120 3.56256 1.7500 1.7000 3.5625 0.85807 1.7000 1.6500 0.8580 -0.2135
8 1.6500 1.6000 -0.2135 -0.26409 1.6000 1.5500 -0.2640 0.094510 1.5500 1.5000 0.0945 0.250011 1.5000 1.4500 0.2500 -0.409512 1.4500 1.4000 -0.4095 -2.496013 1.4000 1.3500 -2.4960 -6.621514 1.3500 1.3000 -6.6215 -13.398015 1.3000 1.2500 -13.3980 -23.437516 1.2500 1.2000 -23.4375 -37.352017 1.2000 1.1500 -37.3520 -55.753518 1.1500 1.1000 -55.7535 -79.254019 1.1000 1.0500 -79.2540 -108.465520 1.0500 1.0000 -108.4655 -144.000021 1.0000 0.9500 -144.0000 -186.4695
7/23/2019 Capitulo-2-bakuuuu
2/24
x y-5 -231000-4 -140709
-3 -77672-2 -36993
fx1*fx2 sino -1 -137762705.8815 1 0 -31251185.1761 1 1 -144
450.292689 1 2 63138.903072 1 3 2392
30.324 1 4 117393.056625 1 5 33000
-0.183183 -1
0.056364 1-0.024948 -10.023625 1
-0.102375 -11.022112 1
16.527264 188.714857 1
314.015625 1875.4375 1
2082.50473 14418.68789 18596.32474 115619.032 126851.608 1
-6 -4 -2 0
-250000
-200000
-150000
-100000
-50000
0
50000
!"art $itl
7/23/2019 Capitulo-2-bakuuuu
3/24
2 4 6
e
7/23/2019 Capitulo-2-bakuuuu
4/24
%1%2
k %1 %2 f&%1' f&%2'1 1.6500 1.7000 -0.2135 0.85802 1.6600 1.7000 -0.1010 0.85803 1.6642 1.7000 -0.0400 0.85804 1.6658 1.7000 -0.0147 0.85805 1.6663 1.7000 -0.0053 0.85806 1.6666 1.7000 -0.0019 0.85807 1.6666 1.7000 -0.0007 0.85808 1.6667 1.7000 -0.0002 0.85809 1.6667 1.7000 -0.0001 0.8580
10 1.6667 1.7000 0.0000 0.858011 1.6667 1.7000 0.0000 0.858012 1.6667 1.7000 0.0000 0.858013 1.6667 1.7000 0.0000 0.858014 1.6667 1.7000 0.0000 0.858015 1.6667 1.7000 0.0000 0.858016 1.6667 1.7000 0.0000 0.858017 1.6667 1.7000 0.0000 0.8580
%1 1.55%2 1.6k %1 %2 f&%1' f&%2'
1 1.5500 1.6000 0.0945 -0.26402 1.5500 1.5632 0.0945 -0.00533 1.5625 1.5632 0.0002 -0.00534 1.5625 1.5632 0.0000 -0.00535 1.5625 1.5632 0.0000 -0.00536 1.5625 1.5632 0.0000 -0.00537 1.5625 1.5632 0.0000 -0.00538 1.5625 1.5632 0.0000 -0.00539 1.5625 1.5632 0.0000 -0.0053
10 1.5625 1.5632 0.0000 -0.005311 1.5625 1.5632 0.0000 -0.005312 1.5625 1.5632 0.0000 -0.005313 1.5625 1.5632 0.0000 -0.005314 1.5625 1.5632 0.0000 -0.005315 1.5625 1.5632 0.0000 -0.005316 1.5625 1.5632 0.0000 -0.005317 1.5625 1.5632 0.0000 -0.0053
%1 1.45
7/23/2019 Capitulo-2-bakuuuu
5/24
%2 1.5k %1 %2 f&%1' f&%2'
1 1.4500 1.5000 -0.4095 0.25002 1.4500 1.4810 -0.4095 0.12903 1.4500 1.4736 -0.4095 0.04234 1.4500 1.4714 -0.4095 0.0118
5 1.4500 1.4708 -0.4095 0.00316 1.4500 1.4706 -0.4095 0.00087 1.4500 1.4706 -0.4095 0.00028 1.4500 1.4706 -0.4095 0.00019 1.4500 1.4706 -0.4095 0.0000
10 1.4500 1.4706 -0.4095 0.000011 1.4500 1.4706 -0.4095 0.000012 1.4500 1.4706 -0.4095 0.000013 1.4500 1.4706 -0.4095 0.000014 1.4500 1.4706 -0.4095 0.0000
15 1.4500 1.4706 -0.4095 0.000016 1.4500 1.4706 -0.4095 0.000017 1.4500 1.4706 -0.4095 0.0000
7/23/2019 Capitulo-2-bakuuuu
6/24
1.651.7
( %3 f&%3' f&%1'*f&%3'0.0100 1.6600 -0.1010 0.02160.0042 1.6642 -0.0400 0.00400.0016 1.6658 -0.0147 0.00060.0006 1.6663 -0.0053 0.00010.0002 1.6666 -0.0019 0.00000.0001 1.6666 -0.0007 0.00000.0000 1.6667 -0.0002 0.00000.0000 1.6667 -0.0001 0.00000.0000 1.6667 0.0000 0.0000
0.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.00000.0000 1.6667 0.0000 0.0000
( %3 f&%3' f&%1'*f&%3'0.0132 1.5632 -0.0053 -0.00050.0125 1.5625 0.0002 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.00000.0000 1.5625 0.0000 0.0000
7/23/2019 Capitulo-2-bakuuuu
7/24
( %3 f&%3' f&%1'*f&%3'0.0310 1.4810 0.1290 -0.05280.0236 1.4736 0.0423 -0.01730.0214 1.4714 0.0118 -0.00480.0208 1.4708 0.0031 -0.0013
0.0206 1.4706 0.0008 -0.00030.0206 1.4706 0.0002 -0.00010.0206 1.4706 0.0001 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.0000
0.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.00000.0206 1.4706 0.0000 0.0000
7/23/2019 Capitulo-2-bakuuuu
8/24
Y=Tan(Sen (X))-Sen(Tan(x))
k x1 x2 f&x1' f&x2' f&x1'*f&x2'1 6 5.5 0.0075009 0.13433596 )2 5.5 5 0.13433596 -2.53886728 -
3 5 4.5 -2.53886728 0.01965696 -4 4.5 4 0.01965696 9.7759729 )5 4 3.5 9.7759729 -0.87119372 -6 3.5 3 -0.87119372 0.29100509 -7 3 2.5 0.29100509 3.31633175 )8 2.5 2 3.31633175 -6.37017603 -9 2 1.5 -6.37017603 -0.00186616 )
10 1.5 1 -0.00186616 -0.15977861 )11 1 0.5 -0.15977861 -0.04012742 )12 0.5 0 -0.04012742 0 -
13 0 -0.5 0 0.04012742 )
0 1 2 3 4 5 6 7
-50
-40
-30
-20
-10
0
10
20
30
40
50
!olmn +
7/23/2019 Capitulo-2-bakuuuu
9/24
% ,0 0
0.52359878 -0.045837680.78539816 -0.135178681.04719755 -0.12159526
1.57079633 -2.447365082.0943951 -3.448297782.35619449 45.00000922.61799388 1.726496453.14159265 2.4493(-0163.66519143 -1.726496453.92699082 -45.00000924.1887902 3.44829778
4.71238898 -0.186935835.23598776 0.12159526
5.49778714 0.135178685.75958653 0.045837686.28318531 0
7/23/2019 Capitulo-2-bakuuuu
10/24
7%^4-8%^3-12%^2-3%-12
+nvestiacin
%^4 %^3 %^2 %^1 !7 -8 -12 -3 -12
a1 a2 a3 a4 a5
rmax 3 rango 0.5
k x1 x2 f&x1' f&x2'1 3 2.5 78 26.3752 2.5 2 26.375 -3
3 2 1.5 -3 -15.3754 1.5 1 -15.375 -165 1 0.5 -16 -10.1256 0.5 0 -10.125 -37 0 -0.5 -3 0.1258 -0.5 -1 0.125 -69 -1 -1.5 -6 -26.62510 -1.5 -2 -26.625 -6711 -2 -2.5 -67 -132.37512 -2.5 -3 -132.375 -22813 -3 -3.5 -228 -359.12514 -3.5 -4 -359.125 -53115 -4 -4.5 -531 -748.87516 -4.5 -5 -748.875 -101817 -5 -5.5 -1018 -1343.62518 -5.5 -6 -1343.625 -173119 -6 -6.5 -1731 -2185.37520 -6.5 -7 -2185.375 -2712
% ,-3 672-2 122-1 -60 -121 -282 -183 222
7/23/2019 Capitulo-2-bakuuuu
11/24
-4 -3 -2 -1 0 1 2 3 4-100
0
100
200
300
400
500
600
700
800
Y
7/23/2019 Capitulo-2-bakuuuu
12/24
intervalox1 x22 2.5
f&x1'*f&x2' k x1 x2 f&x1') 1 2 2.5 -3- 2 2.05106 2.5 -0.86786
) 3 2.06537 2.50000 -0.23816) 4 2.06925 2.5000 -0.06441) 5 2.07030 2.50000 -0.01735) 6 2.07059 2.50000 -0.00467- 7 2.07066 2.50000 -0.00126- 8 2.07068 2.50000 -0.00034) 9 2.07069 2.50000 -0.00009) 10 2.07069 2.50000 -0.00002) 11 2.07069 2.50000 -0.00001) 12 2.07069 2.50000 0.00000) 13 2.07069 2.50000 0.00000) 14 2.07069 2.50000 0.00000) 15 2.07069 2.50000 0.00000)) intervalo) x1 x2) -0.5 1)
k x1 x2 f&x1'1 -0.5 1 0.1252 -0.48837 1 0.137043 -0.47573 1.00000 0.144544 -0.46252 1.0000 0.146235 -0.44927 1.00000 0.141726 -0.43655 1.00000 0.131627 -0.42483 1.00000 0.117408 -0.41445 1.00000 0.10092
9 -0.40558 1.00000 0.0840010 -0.39824 1.00000 0.0680211 -0.39233 1.00000 0.05385
7/23/2019 Capitulo-2-bakuuuu
13/24
12 -0.38766 1.00000 0.0418613 -0.38403 1.00000 0.0320814 -0.38126 1.00000 0.0243215 -0.37917 1.00000 0.01828
intervalox1 x2
-0.5 -1
k x1 x2 f&x1'1 -0.5 -1 0.125
2 -0.51020 -1 0.110313 -0.51905 -1.00000 0.094434 -0.52650 -1.0000 0.078765 -0.53263 -1.00000 0.064266 -0.53759 -1.00000 0.051517 -0.54152 -1.00000 0.040708 -0.54461 -1.00000 0.031809 -0.54701 -1.00000 0.02462
10 -0.54886 -1.00000 0.0189311 -0.55028 -1.00000 0.0144812 -0.55137 -1.00000 0.0110313 -0.55219 -1.00000 0.0083814 -0.55281 -1.00000 0.0063515 -0.55329 -1.00000 0.00480
,
7/23/2019 Capitulo-2-bakuuuu
14/24
+nterolacin
f&x2' ( x3 f&x3' f&x1'*f&x3'26.375 0.05106 2.05106 -0.86786)
26.375000 0.01430 2.06537 -0.23816 )
26.375000 0.00389 2.06925 -0.06441 )26.375000 0.00105 2.07030 -0.01735 )26.375000 0.00028 2.07059 -0.00467 )26.375000 0.00008 2.07066 -0.00126 )26.375000 0.00002 2.07068 -0.00034 )26.375000 0.00001 2.07069 -0.00009 )26.375000 0.00000 2.07069 -0.00002 )26.375000 0.00000 2.07069 -0.00001 )26.375000 0.00000 2.07069 0.00000 )26.375000 0.00000 2.07069 0.00000 )26.375000 0.00000 2.07069 0.00000 )26.375000 0.00000 2.07069 0.00000 )26.375000 0.00000 2.07069 0.00000 )
f&x2' ( x3 f&x3' f&x1'*f&x3'-16 0.01163 -0.48837 0.13704)
-16.000000 0.01264 -0.47573 0.14454 )-16.000000 0.01321 -0.46252 0.14623 )-16.000000 0.01325 -0.44927 0.14172 )-16.000000 0.01272 -0.43655 0.13162 )-16.000000 0.01172 -0.42483 0.11740 )-16.000000 0.01038 -0.41445 0.10092 )-16.000000 0.00887 -0.40558 0.08400 )
-16.000000 0.00734 -0.39824 0.06802 )-16.000000 0.00592 -0.39233 0.05385 )-16.000000 0.00467 -0.38766 0.04186 )
7/23/2019 Capitulo-2-bakuuuu
15/24
-16.000000 0.00362 -0.38403 0.03208 )-16.000000 0.00277 -0.38126 0.02432 )-16.000000 0.00210 -0.37917 0.01828 )-16.000000 0.00157 -0.37759 0.01366 )
f&x2' ( x3 f&x3' f&x1'*f&x3'-6 -0.01020 -0.51020 0.11031)
-6.000000 -0.00884 -0.51905 0.09443 )-6.000000 -0.00745 -0.52650 0.07876 )-6.000000 -0.00613 -0.53263 0.06426 )-6.000000 -0.00495 -0.53759 0.05151 )-6.000000 -0.00394 -0.54152 0.04070 )-6.000000 -0.00309 -0.54461 0.03180 )-6.000000 -0.00240 -0.54701 0.02462 )-6.000000 -0.00185 -0.54886 0.01893 )-6.000000 -0.00142 -0.55028 0.01448 )-6.000000 -0.00108 -0.55137 0.01103 )-6.000000 -0.00082 -0.55219 0.00838 )-6.000000 -0.00062 -0.55281 0.00635 )-6.000000 -0.00047 -0.55329 0.00480 )-6.000000 -0.00036 -0.55364 0.00363 )
7/23/2019 Capitulo-2-bakuuuu
16/24
x^3 -8x^2)15x-1/0
a1 a2 a3 a41 -8 15 -1
Rmax 5.83 6
($ ( +($+!+k x1 x2 f&x1' f&x2'
1 6.000 5.500 17.000 5.8752 5.500 5.000 5.875 -1.0003 5.000 4.500 -1.000 -4.3754 4.500 4.000 -4.375 -5.0005 4.000 3.500 -5.000 -3.6256 3.500 3.000 -3.625 -1.0007 3.000 2.500 -1.000 2.125
8 2.500 2.000 2.125 5.0009 2.000 1.500 5.000 6.875
10 1.500 1.000 6.875 7.00011 1.000 0.500 7.000 4.62512 0.500 0.000 4.625 -1.00013 0.000 -0.500 -1.000 -10.62514 -0.500 -1.000 -10.625 -25.00015 -1.000 -1.500 -25.000 -44.875
7/23/2019 Capitulo-2-bakuuuu
17/24
7/23/2019 Capitulo-2-bakuuuu
18/24
intervalo 0.5
f&x1'*f&x2' x1 x2
1 1 5.000 5.500-1 2 5.073 5.5001 3 5.089 5.5001 4 5.093 5.5001 5 5.094 5.5001 6 5.094 5.500-1 7 5.094 5.500
1 8 5.094 5.5001 9 5.094 5.5001 10 5.094 5.5001-1111 k x1 x2
1 2.500 3.0002 2.500 2.8403 2.500 2.8374 2.500 2.8375 2.500 2.8376 2.500 2.8377 2.500 2.8378 2.500 2.8379 2.500 2.837
10 2.500 2.837
k x1 x2
1 0.000 0.5002 0.000 0.0893 0.000 0.0704 0.000 0.0695 0.000 0.0696 0.000 0.0697 0.000 0.0698 0.000 0.0699 0.000 0.069
7/23/2019 Capitulo-2-bakuuuu
19/24
10 0.000 0.069
7/23/2019 Capitulo-2-bakuuuu
20/24
($ ( +$(R:!+ &+ntervalo 1'f&x1' f&x2' ( x3 f&x3' f&x1'*f&x3'
-1.000 5.875 0.073 5.073 -0.235 0.235-0.235 5.875 0.016 5.089 -0.052 0.012-0.052 5.875 0.004 5.093 -0.011 0.001-0.011 5.875 0.001 5.094 -0.002 0.000-0.002 5.875 0.000 5.094 -0.001 0.000-0.001 5.875 0.000 5.094 0.000 0.0000.000 5.875 0.000 5.094 0.000 0.000
0.000 5.875 0.000 5.094 0.000 0.0000.000 5.875 0.000 5.094 0.000 0.0000.000 5.875 0.000 5.094 0.000 0.000
olcin 1
($ ( +$(R:!+ &+ntervalo 2'f&x1' f&x2' ( x3 f&x3' f&x1'*f&x3'
2.125 -1.000 0.340 2.840 -0.018 -0.0392.125 -0.018 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.0002.125 0.000 0.337 2.837 0.000 0.000
olcin 2
($ ( +$(R:!+ &+ntervalo 3'f&x1' f&x2' ( x3 f&x3' f&x1'*f&x3'
-1.000 4.625 0.089 0.089 0.271 -0.271-1.000 0.271 0.070 0.070 0.010 -0.010-1.000 0.010 0.069 0.069 0.000 0.000-1.000 0.000 0.069 0.069 0.000 0.000-1.000 0.000 0.069 0.069 0.000 0.000-1.000 0.000 0.069 0.069 0.000 0.000-1.000 0.000 0.069 0.069 0.000 0.000-1.000 0.000 0.069 0.069 0.000 0.000-1.000 0.000 0.069 0.069 0.000 0.000
7/23/2019 Capitulo-2-bakuuuu
21/24
-1.000 0.000 0.069 0.069 0.000 0.000olcin 3
7/23/2019 Capitulo-2-bakuuuu
22/24
Y=e^X-3X^2
X^2 X C
-3 0 1
k x1 x2 f&x1' f&x2' f&x1'*f&x2'1 5 4.5 73.4132 29.2671 )
2 4.5 4 29.2671 6.5982 )3 4 3.5 6.5982 -3.6345 -4 3.5 3 -3.6345 -6.9145 )5 3 2.5 -6.9145 -6.5675 )6 2.5 2 -6.5675 -4.6109 )7 2 1.5 -4.6109 -2.2683 )8 1.5 1 -2.2683 -0.2817 )9 1 0.5 -0.2817 0.8987 -
10 0.5 0 0.8987 1.0000 )
-3 -2 -1 0-50
0
50
100150
200
250
300
350
7/23/2019 Capitulo-2-bakuuuu
23/24
%
6
5
4
3
2
1
0
-1
-21 2 3 4 5 6 7
!olmn
7/23/2019 Capitulo-2-bakuuuu
24/24
,
295.428793
73.4131591
6.59815003
-6.91446308
-4.6109439
-0.28171817
1
-2.63212056
-11.8646647