multivariado matlab

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 #


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.^));


3/18

>> "+t2(x,y,z)

Ejemplo 5

>> [x,y]=meshgrid(-:0.05:);

>> z=ex"(-(x.^!y.^));

>> mesh(x,y,z)

Ejemplo 6


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


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


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)


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

"+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


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:


d) r(t)=4e^t$1si#(t), e^t$1s(t),t$ > -04=t4=2.B

syms x y z


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)



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)


3)r(t)=4 s(t), 2s(t)^, si#(2t)> -"i4=t4="i

syms x y z


12/18

>> t=+i#s"e(-"i,"i,00);

>> x=s(1t);

y=21(s(21t).^);

>> z=t;

>> "+t2(x,y,z)


ii) %r&'s de m"s es+res

) > z=(.$(x^!y^!));


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)


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)


15/18

d) z=y^!((x^)$)[x,y]=meshgrid(-:0.005:);

>> z=(y^)!((x^)$);>> "+t2(x,y,z)>> #t/r(x,y,z)


16/18

e) z=!(((x-)^)$)!(((y!)^)$)[x,y]=meshgrid(-:0.05:);>> z=!(((x-)^)$)!(((y!)^)$);>> "+t2(x,y,z)#t/r(x,y,z)


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)


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

multivariado matlab

Documents