PK *8RBH mimetypetext/x-wxmathmlPK *8RQdBV5 5
format.txt
This file contains a wxMaxima session in the .wxmx format.
.wxmx files are .xml-based files contained in a .zip container like .odt
or .docx files. After changing their name to end in .zip the .xml and
eventual bitmap files inside them can be extracted using any .zip file
viewer.
The reason why part of a .wxmx file still might still seem to make sense in a
ordinary text viewer is that the text portion of .wxmx by default
isn't compressed: The text is typically small and compressing it would
mean that changing a single character would (with a high probability) change
big parts of the whole contents of the compressed .zip archive.
Even if version control tools like git and svn that remember all changes
that were ever made to a file can handle binary files compression would
make the changed part of the file bigger and therefore seriously reduce
the efficiency of version control
wxMaxima can be downloaded from https://github.com/wxMaxima-developers/wxmaxima.
It also is part of the windows installer for maxima
(https://wxmaxima-developers.github.io/wxmaxima/).
If a .wxmx file is broken but the content.xml portion of the file can still be
viewed using an text editor just save the xml's text as "content.xml"
and try to open it using a recent version of wxMaxima.
If it is valid XML (the XML header is intact, all opened tags are closed again,
the text is saved with the text encoding "UTF8 without BOM" and the few
special characters XML requires this for are properly escaped)
chances are high that wxMaxima will be able to recover all code and text
from the XML file.
PK *8R.g* g* content.xml
G376-386Examen final Bloque III25 Enero 2021y1(x):=x^2+1;y2(x):=x+3;Puntos de corte:solve(y1(x)=y2(x),x);wxdraw2d(grid=true,yrange=[-1,10], explicit(y1(x),x,-2,3), explicit(y2(x),x,-2,3), color=black, parametric(0,t,t,-1,10), parametric(t,0,t,-2,3), color=red, line_type=dots, line_width=5, parametric(t,0,t,-2,3));integrando:%pi*(y2(x)^2-y1(x)^2);integrate(integrando,x,-1,2);integrate(1/(cos(x)+sin(x)),x);f(x,y):=(x^4+3*x^2*y^2+2*x*y^3)/(x^2+y^2)^2;Límites reiteradoslimit(f(x,0),x,0);limit(f(0,y),y,0);Los límites reiterados no coinciden. Por lo tanto, no existe el límite en el origen. Se concluye que f(x,y) presenta una discontinuidad no evitable en el origen.define(fx(x,y), diff(f(x,y),x))$ratsimp(%);define(fy(x,y), diff(f(x,y),y))$ratsimp(%);a:1$b:-1$fx(a,b);fy(a,b);El gradiente por lo tanto, viene dado por el vector:gradf:[fx(a,b),fy(a,b)];Para calcular la derivada direccional, multiplicamos le gradiente por el vector director unitario "u":theta:%pi/6;u:[cos(theta),sin(theta)];Quedando la derivada direccional:Duf:gradf.u;Representación gráfica de la superficie de la gráfica f(x,y), el punto (1,-1) y la dirección de la derivada direccional sobre la superficie, representada por la línea roja:draw3d(explicit(f(x,y),x,-2,2,y,-2,2), point_type=filled_circle, color="green", point_size=2, points([[a,b,f(a,b)]]), color=red, line_width=2, parametric(t+1,t/sqrt(3)-1,f(t+1,t/sqrt(3)-1),t,-2,1));Máxima calcula la integral impropia cuando ésta es convergente:integrate(x/(x^2+1)^(5/2),x,-inf,0);Gráficamente:wxplot2d(x/(x^2+1)^(5/2),[x,-10,1]);PK *8RX maxout_31952_1.gnuplotset terminal pngcairo dashed enhanced truecolor size 600, 400
set out '/tmp/maxout_31952_1.png'
if(GPVAL_VERSION >= 5.0){set for [i=1:8] linetype i dashtype i; set format '%h'}
set zero 0.0
set size 1.0, 1.0
set origin 0.0, 0.0
set obj 1 rectangle behind from screen 0.0,0.0 to screen 1.0,1.0
set obj 1 fc rgb '#ffffff' fs solid 1.0 noborder
set size noratio
set xrange [-2.0:3.0]
set yrange [-1.0:10.0]
set cbrange [*:*]
unset logscale x
unset logscale x2
unset logscale y
unset logscale y2
unset logscale cb
set grid xtics ytics mxtics mytics
set mxtics 1
set mytics 1
set title ''
set xlabel ''
set x2label ''
set ylabel ''
set y2label ''
set border 15
set key top right
unset xzeroaxis
unset yzeroaxis
unset x2tics
set xtics nomirror
set xtics norotate border autofreq
unset y2tics
set ytics nomirror
set ytics norotate border autofreq
set cbtics autofreq
set colorbox
set cblabel ''
set palette rgbformulae 7,5,15
plot '' index 0 t '' w l lw 1 lt 1 lc rgb '#0000ff' axis x1y1, \
'' index 1 t '' w l lw 1 lt 1 lc rgb '#0000ff' axis x1y1, \
'' index 2 t '' w l lw 1 lt 1 lc rgb '#000000' axis x1y1, \
'' index 3 t '' w l lw 1 lt 1 lc rgb '#000000' axis x1y1, \
'' index 4 t '' w l lw 5.0 lt 0 lc rgb '#FF0000' axis x1y1
unset output
PK *8R^uB uB
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