Asinewavewithamplitude3andfrequency3Hz.
c.
Alinethatintersectstheyaxisaty=4andhasaslopeof PHPScripttestTake
1.Plotthefollowingcurvesoveratimescaleof5:0.01:5:
a.
A2ndorderpolynomial2.1x2+4x1.
b.
1.5.
Varycolorsandlinestypes(solid,dashed,etc.) Tip:Asinewave
withamplitude17and13Hzfrequencyisy=17*sin(13*2*pi*x).
t=5:0.01:5;
y=2.1*t.^2+4*t1;%a
z=3*sin(3*2*pi*t);%b
x=41.5*t;%c
plot(t,y,'b',t,z,'g:',t,x,'r')
2.Thematrixbelowshowsthefrequencyoftheresultafter
rolling2diemanytimes.Usthematrixtocreateanxyplotanda
bargraphofthedata.Inacommentinyourcode,telluswhich
graphismoreappropriate.
123456789
2 7 9 9 15 21 37 17 4
%xyplot
MyData=[
27
39
49
515
621
737
817
94
10 11 12 ;
5 2 1;
105
112
121];
plot(MyData(:,1),MyData(:,2));
%BARGRAPH
MyData=[
27
39
49
515
621
737
817
94
105
112
121];
bar(MyData(:,1),MyData(:,2));
%Becausethepossiblevaluesfordieareintegersbetween2and12,thebargraphismoreappropriate.It
moreclearlyandintuitivelyrepresentsthedata.
%Iassumedthattheveryfirstcolumnofthegivenmatrixrepresentsthenumberoftherow,andisnot
partofadata,because2diescannotyield1.
3.Whatisthebasicconditionthatmustsatisfiedforusingthe
PLOTcommandinMATLAB?Hereisagoodbuttrickyexample:
clear all;
clc;
t=(0:0.01:2)
sinfct=sin(2*pi*5*t)
cosfct=cos(2*pi*2*t)
ect=exp(-2*t)
plot ( t,[sinfct,cosfct,ect])
TypetheabovecodeinMATLAB.Whatistheerror?Identifythe
bugandturninthecorrectedcode.
%Assumingthatthecodeisintendedtomakethreedifferentcurves1)sinfctvst;2)cosfctvst;3)ectvst;
Belowisthecodetomakeallthreecurvesinthesamefigure.
clearall;
clc;
t=(0:0.01:2);
sinfct=sin(2*pi*5*t);
cosfct=cos(2*pi*2*t);
ect=exp(2*t);
plot(t,sinfct,t,cosfct,t,ect)
4.Plotthetwofunctionsetandetusingarangeandstepsizeof
yourowndevising.
a.
Onasingleplotwithdifferentcolors.
b.
another.
Inyouropinion,whichplotbestillustratesthedata?Makesure OntwoplotsinthesameFigure,nexttooneanother.
c.
OntwoplotsinthesameFigure,Aboveandbelowone
youdeterminearangeandstepsizethatadequatelyillustrates
thefunctions.
a)x=3:0.1:3;
y=(exp(1)).^(x);
z=(exp(1)).^(x);
plot(x,y,'b',x,z,'g')
b)x=3:0.1:3;
y=(exp(1)).^(x);
z=(exp(1)).^(x);
subplot(1,2,1);
plot(x,y);
subplot(1,2,2);
plot(x,z);
c)x=3:0.1:3;
y=(exp(1)).^(x);
z=(exp(1)).^(x);
subplot(2,1,1);
plot(x,y);
subplot(2,1,2);
plot(x,z);
%Twoplotsonthesamefigure(partaandb)willbebetterthanplotonparta.Thereasonisinparta,the
curve(e^x)issmallwhiletheotheroneisbig.Sothescaleisbigforxandyaxis.Thereforeit'sdifficultto
seethe(e^x)curve.Now,inthepartsbandc,bothcurveshavetheirindividualplotswithappropriate
scaleswheretheyarebothbigandeasytosee.
5.Considerthetwodimensionalfunction
f(x,y)=sin(x^2+y^2)*e^(0.2*(x^2+y^2))
Makeathreedimensionalplotofthisfunctionusingonlythe
MESHandSURFcommandsandwriteasmallnoteabouthow
thefunctionsdifferfromeachother.
Usethefollowingrange.
x=3:0.1:3;
y=6:0.1:6;
%MESH
clearall
xData=3:0.1:3;
yData=6:0.1:6;
[x,y]=meshgrid(xData,yData);
zData=sin(x.^2+y.^2).*(exp(1)).^(0.2*(x.^2+y.^2));
mesh(xData,yData,zData);
%SURF
clearall
xData=3:0.1:3;
yData=6:0.1:6;
[x,y]=meshgrid(xData,yData);
zData=sin(x.^2+y.^2).*(exp(1)).^(0.2*(x.^2+y.^2));
surf(xData,yData,zData);
%MeshandSurfdrawthesameplots,theonlydifferenceisthatSURFfillstheplotwithcolorswhile
MESHdoesn't.