8/18/2019 multivariado matlab
1/18
Esteban Polanía Gutiérrez
Ejemplo 1
>>syms x y z w
>> [x,y]=meshgrid(-8:0.5:8);
>> R=sqrt(x.^!y.^)!e"s;
>> z=si#(R).$R;
>> mesh(x,y,z)
%r&' e*em"+ :
Ejemplo 2
/rs e# e+ es"i
>> syms x y t
>> t=+i#s"e(0,01"i,00)
>>x=s(t)
>>y=si#(t)
>>z=t
>> "+t2(x,y,z)
>> grid #
8/18/2019 multivariado matlab
2/18
Ejemplo 3
>> t=+i#s"e(0,01"i,00);
>> x=s(t);
>> y=si#(t);
>> z=t;
>> q/ier2(x,y,z,-y,x,t)
>> grid #
Ejemplo 4
>> [x,y]=meshgrid(-:0.05:);
>> z=ex"(-(x.^!y.^));
8/18/2019 multivariado matlab
3/18
>> "+t2(x,y,z)
Ejemplo 5
>> [x,y]=meshgrid(-:0.05:);
>> z=ex"(-(x.^!y.^));
>> mesh(x,y,z)
Ejemplo 6
8/18/2019 multivariado matlab
4/18
>> [x,y]=meshgrid(-:0.05:);
>> z=ex"(-(x.^!y.^));
>> s/r3(x,y,z)
Ejemplo 7
>> [x,y]=meshgrid(-:0.0:);
>> z=x.^!y.^;
>> #t/r(x,y,z)
Ejemplo 8
8/18/2019 multivariado matlab
5/18
>> [x,y]=meshgrid(-:0.0:);
>> z=x.^!y.^;
>> #t/r2(x,y,z)
Ejemplo 9
Funi!n arro"#m
function y=arrow(P,V,color)
if nargin
8/18/2019 multivariado matlab
6/18
Programa ejemplo 9
P0=#2 .%;
&= #1 2%;
arrow(P0,&);
old onw=#2,2%;
arrow(P0,w);
arrow(P0,&$w)
axi" e-ual
old off
Ejeriios
i$ ur%as & %etores %eloi'a'
a$ r(t)=42s^2(t), si#^(t),t> -54=t4=
>> syms x y z
>> t=+i#s"e(-5,,00);
x=21(s(t)).^2
y=1(si#(t)).^
z=t;
"+t2(x,y,z)
8/18/2019 multivariado matlab
7/18
grid #
q/ier2(x,y,z,-y,x,t)
6) r(t)=4s(t), 2s^2(t), $5si#(t) -7i4=t4>"i
es/6r9 q/e se "d9 sim"+i'r e+ "rgrm si# #eesidd de sig#rri6+es , y
8/18/2019 multivariado matlab
8/18
"+t2(1s(t),21((s(t)).^2),$51si#(t));
7r +s etres de e+idd sms + derid de +s 3/#i#es t+ q/e:
r(t)=4-si#(t), -si#(t)1s(t)^, s(t)$5>
?dig
q/ier2(1s(t),21((s(t)).^2),$51si#(t),-1si#(t),-1si#(t).1(s(t)).^,((s(t))$5))
)r(t)=$@1s(t), $@ si#(t),t$> -24=t4=8
syms x y z
8/18/2019 multivariado matlab
9/18
>> t=+i#s"e(-2,8,00);
>> x=$@1s(t);
>> y=$@1si#(t);
>> z=t;
>> "+t2(x,y,z)
Aetres de e+idd:
q/ier2(x,y,z,-y,x,t)
d) r(t)=4e^t$1si#(t), e^t$1s(t),t$ > -04=t4=2.B
syms x y z
8/18/2019 multivariado matlab
10/18
>> t=+i#s"e(-0,2.B,00);
>> x=(ex"(t$).1si#(t));
>> y=(ex"(t$).1s(t));
>> z=t;
>> "+t2(x,y,z)
q/ier2(x,y,z,-y,x,t)
8/18/2019 multivariado matlab
11/18
e) r(t)= >si#(t)!si#(t), -s(t)-s(t),t$@> -84=t4=0
syms x y z
>> t=+i#s"e(-8,0,00);
>> x=si#(1t)!1si#(t);
>> y=-s(1t)-1s(t);
>> z=t;
>> "+t2(x,y,z)
q/ier2(x,y,z,-y,x,t)
3)r(t)=4 s(t), 2s(t)^, si#(2t)> -"i4=t4="i
syms x y z
8/18/2019 multivariado matlab
12/18
>> t=+i#s"e(-"i,"i,00);
>> x=s(1t);
y=21(s(21t).^);
>> z=t;
>> "+t2(x,y,z)
q/ier2(x,y,z,-y,x,t)
ii) %r&'s de m"s es+res
) > z=(.$(x^!y^!));
8/18/2019 multivariado matlab
13/18
>> mesh(x,y,z)
#t/r(x,y,z)
6) z=sqrt(x1y)
[x,y]=meshgrid(-00::00);
>> z=sqrt(x1y);
>> "+t2(x,y,z)
8/18/2019 multivariado matlab
14/18
C se "/ede# sr /rs de #ie+
) z=sqrt(B(-x^$-y^$))
[x,y]=meshgrid(-5:0.005:5);z=sqrt(B1(-(x^$)-(y^$)));>> "+t2(x,y,z)>> #t/r(x,y,z)
8/18/2019 multivariado matlab
15/18
d) z=y^!((x^)$)[x,y]=meshgrid(-:0.005:);
>> z=(y^)!((x^)$);>> "+t2(x,y,z)>> #t/r(x,y,z)
8/18/2019 multivariado matlab
16/18
e) z=!(((x-)^)$)!(((y!)^)$)[x,y]=meshgrid(-:0.05:);>> z=!(((x-)^)$)!(((y!)^)$);>> "+t2(x,y,z)#t/r(x,y,z)
8/18/2019 multivariado matlab
17/18
3) z=((y^)$5)-21x[x,y]=meshgrid(-:0.05:);>> z=((y^)$5)-21x;>> "+t2(x,y,z)#t/r(x,y,z)
8/18/2019 multivariado matlab
18/18
iii) i6/*r etres:=4,2>w=4-,>7=(,2)
Dti+iz#d + 3/#i?# rrw red #terirme#te, "r e+ sig/ie#te"rgrm:
P0=#/ 3%;
&= #2 3%;
arrow(P0,&);
old on
w=#2,/%;
arrow(P0,w);
arrow(P0,&$w)axi" e-ual
old off