Introduction to MATLAB, 4th Edition Solution Manual

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1Introduction to MATLAB, Fourth Editionby Delores M. EtterSolution ManualChapter 11.F2.T3.F4.T5.F6.F7.F8.F9.T10.T11.T12.F13.F14.T15.T16.F17.F18.F19.F20.T21.(d)22.(b)23.(c)24.(a)25.(a)26.(b)27.(e)28.(c)29.(d)30.(c)31.(a)32.(b)33.(c)34.program35.hardware36.CPU37.output devices38.system software39.algorithm40.compilation41.spreadsheet42.syntax or grammar43.operating system44.ALU45.debugging46.logic errors47.utilities48.microprocessor49.word processor50.machine language51.average = 14.2667%-----------------------------------------------------%Solutionto1.51%Thisprogramcomputestheaveragepressure%andthenplotsthepressuredata.%time=[0,1,2,3,4,5];pressure=[14.6,14.0,14.2,14.3,14.1,14.4];average=mean(pressure)plot(time,pressure),title('PressureMeasurements'),xlabel('Time,seconds'),ylabel('Pressure,psi'),grid%-----------------------------------------------------

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2Chapter 21.not legal2.not legal3.legal4.legal5.legal6.not legal7.not legal8.legal9.not legal10.not legal11.legal12.valid function names:global,help,sin,input13.1.7514.6015.6016.7517.15,62518.919.120.5^221.(5+3)/(5*6)22.(4+6^3)^0.523.9*(6/12)+7*5^(3+2)24.1+5*3/(6*6)+2^(2-4)*1/5.525.r=5;area=pi*r*r26.r=10;surface=4*pi*r*r27.r=2;vol=4/3*pi*r^328.r=3;h=[1,5,12];vol=pi*r*r*h

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329.h=12;b=[2,4,6];area=0.5*b*h30.h=12;b=[2,4,6];area=0.5*b*h;vol=area*1031.x=linspace(1,20,20);32.x=linspace(0,2*pi,200);33.x=linspace(4,20,15);34.d=0:10:360;r=d*2*pi/360;35.cm=0:2:50;inch=cm/2.54;36.mph=linspace(0,100,14);fps=mph*5280/(60*60);37.t=0:2:100;g=9.8;d=0.5*g*t.*t;38.mass1=6e24;mass2=7.4e22;r=3.9e8;G=6.673e-11;F=G*m1*m2/(r*r);39.mass1=6e24;mass2=7.4e22;r=linspace(3.8e8,4e8,10);G=6.673e-11;F=G*m1*m2/(r.*r);40.B=A(:,1);41.C=A(2,:);42.D=A(:,1:3);43.x=A(:,2:4);F=x(:);44.x=A(:,2:4);G=x(:)’;

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445.%-----------------------------------------------------%Solutionto2.45%Thisprogramestimatestimerequiredforastride,%givenL,thelengthofaleginfeet.%%AstridetakesTs=T/2seconds,%whereT=2pisqrt(2L/(3g))%g=32ft/(s^2)%sqrt(x)=(x)^0.5L=input('Inputlengthofaleginfeet:');Ts=pi*(2*L/(3*32))^0.5%------------------------------------------------------Chapter 31.angle=0:0.1:2*pi;sine=sin(angle);cosine=cos(angle);tangent=tan(angle);display(‘angle(radians),sine,cosine,tangent’);[angle’,sine’,cosine’,tangent’]2.g=9.9;v=100;k=v*v/g;theta=0:0.05:pi/2;R=k*sin(2*theta);[max_R,n]=max(R);max_theta=theta(n);display(‘maxrangeandcorrespondingangleinradians’)[max_R,max_theta]3.b=2:10;logb=log(10)./log(b);display(‘baseandlogof10tothespecifiedbase’)[b’,logb’]4.P0=100;r=0.9;t=10;P=P0*exp(r*t);display(‘rabbitsatendof10years’)P

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55.Q=8000;R=1.987;k0=1200;T=100:50:500;k=k0*exp(-Q./(R*T));display(‘temperature(K)andreactionrates’)[T’,k’]6.G=[68,83,70,75,82,57,5,76,85,62,71,96,78,76,72,75,83,93];display(‘mean,medianstandarddeviation,count’];[mean(G)median(G)std(G)length(G)]most typical value is the median because it represents one of the values7.x=23.5*randn(1,10000)+80;display(‘meanandstandarddeviation’)[mean(x)std(x)]8.t=0:2:100;ht=2.13*t.^2–0.0013*t.^4+0.000034*t.^4.751;display(‘timeandheight’)[t’,ht’]9.(assumes statements from solution to problem 8)[max_ht,n]=max(ht)10.(assumes statements from solution to problem 8 and 9)max_time=t(n)11.A simple way to create the data file is to use the Notebook application, and store the file using a.datextension.loadsensor.dat[n_rows,n_cols]=size(sensor);display(‘Numberofsensors:’)n_colsdisplay(‘Numberofseconds:’)n_rows12.(assumes statements from solution to problem 11)[max_s,n]=max(sensor);k=1:n_row;display(‘sensornumber,maxvalue,correspondingtime(s)’)[k’,max_s’,(n-1)’]

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613.(assumes statements from solution to problem 11)mean_s=mean(sensor);std_s=std(sensor);mean_all=mean(sensor(:));std_all=std(sensor(:));display(‘sensornumber,mean,standarddeviation’)[k’,mean_s’,std_s’]display(‘overallmeanandstandarddeviation’)[mean_all,std_all]14.temps=2*randn(1,121)+70;15.(assumes statement from solution to problem 14)time=1:120;plot(time,temps)16.(assumes statement from solution to problem 14)display(‘maximumandminimumtemperatures’)[max(temps),min(temps]17.%-----------------------------------------------------%Solutionto3.17%Thisprogramestimatestheageofanartifact,%basedontheproportionofcarbon14remaining.%%ageinyears=-ln(carbon14proportionremaining)/0.0001216C14prop=input('proportionofcarbon14remaining:');age_years=-log(C14prop)/0.0001216;fprintf('Estimatedageis%8.2fyears\n',age_years);%------------------------------------------------------18.%-----------------------------------------------------%Solutionto3.18C14prop=input('proportionofcarbon14remaining:');age_centuries=-log(C14prop)/0.01216;fprintf('Estimatedageis%8.2fcenturies\n',age_centuries);%------------------------------------------------------19.%-----------------------------------------------------%Solutionto3.19C14prop=input('proportionofcarbon14remaining:');age_years=-log(C14prop)/0.0001216;fprintf('Estimatedageis%dyears,rounded\n',age_years);%------------------------------------------------------

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720.%-----------------------------------------------------%Solutionto3.20%proportionofCarbon14remaining=%exp(-(ageinyears)*0.0001216)age_years=input('ageofartifact,inyears:');C14prop=exp(-age_years*0.0001216);fprintf(‘ProportionofCarbon14is%4.2f\n',C14prop);%------------------------------------------------------21.%-----------------------------------------------------%Solutionto3.21C14prop1=input('artifact1proportionofcarbon14:');C14prop2=input('artifact2proportionofcarbon14:');age1_years=-log(C14prop1)/0.0001216;age2_years=-log(C14prop2)/0.0001216;age_diff=abs(age1_years-age2_years);fprintf('Agedifferenceis%dyears,rounded\n,round(age_diff));Chapter 41.v0=100;angle=pi/4;g=9.8;t=0:0.1:20;horizontal=t*v0*cos(angle);vertical=t*v0*sin(angle)-0.5*g*t.*t;figure(1)plot(t,horizontal),title(‘HorizontalDistance’),xlabel(‘Time,s’),ylabel(‘m’),gridfigure(2)plot(t,vertical),title(‘VerticalDistance’),xlabel(‘Time,s’),ylabel(‘m’),grid2.assumesthestatementsinproblem1figure(3)plot(horizontal,vertical),title(‘ProjectileDistances’),xlabel(‘HorizontalDistance,m’),ylabel(‘VerticalDistance,m’),grid3.v0=100;g=9.8;t=0:0.1:20;h1=t*v0*cos(pi/3);h2=t*v0*cos(pi/4);h3=t*v0*cos(pi/6);v1=t*v0*sin(pi/3)–0.5*g*t.*t;v2=t*v0*sin(pi/4)–0.5*g*t.*t;v3=t*v0*sin(pi/6)–0.5*g*t.*t;figure(4)plot(h1,v1,’-‘,h2,v2,’—‘,h3,v3,’:’);legend(‘pi/2’,’pi/4’,’pi/6’);title(‘ProjectileDistances’),

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8xlabel(‘HorizontalDistance,m’),ylabel(‘VerticalDistance,m’),grid4.v0=100;g=9.8;t=0:0.1:20;h1=t*v0*cos(pi/3);h2=t*v0*cos(pi/4);h3=t*v0*cos(pi/6);v1=t*v0*sin(pi/3)–0.5*g*t.*t;v2=t*v0*sin(pi/4)–0.5*g*t.*t;v3=t*v0*sin(pi/6)–0.5*g*t.*t;figure(5)subplot(2,2,1),plot(t,h2),title(‘HorizontalDistance’),xlabel(‘Time,s’),ylabel(‘m’)subplot(2,2,2),plot(t,v2),title(‘VerticalDistance’),xlabel(‘Time,s’),ylabel(‘m’)subplot(2,2,3),plot(h2,v2),title(‘ProjectileDistances’),xlabel(‘HorizontalDistance,m’),ylabel(‘VerticalDistance,m’),gridsubplot(2,2,4),plot(h1,v1,’-‘,h2,v2,’—‘,h3,v3,’:’);legend(‘pi/3’,’pi/4’,’pi/6’);title(‘ProjectileDistances’),xlabel(‘HorizontalDistance,m’),ylabel(‘VerticalDistance,m’),grid5.P0=1000;rate=0.08;t=1:30;P=P0*exp(rate*t);plot(t,P),title(‘SavingsGrowth’),xlabel(‘Time,yrs’),ylabel(‘AccountBalance,$’),grid6.P0=1000;rate=0.08;t=1:30;P=P0*exp(rate*t);subplot(2,2,1),plot(t,P),title(‘SavingsGrowth’),xlabel(‘Time,yrs’),ylabel(‘AccountBalance,$’),grid,subplot(2,2,2),semilogx(t,P),title(‘SavingsGrowth’),xlabel(‘Time,yrs’),ylabel(‘AccountBalance,$’),grid,subplot(2,2,3),semilogy(t,P),title(‘SavingsGrowth’),xlabel(‘Time,yrs’),ylabel(‘AccountBalance,$’),grid,subplot(2,2,4),loglog(t,P),title(‘SavingsGrowth’),xlabel(‘Time,yrs’),ylabel(‘AccountBalance,$’),grid(rectangular coordinate system is best for this data)

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97.G=[68,83,61,70,75,82,57,51,76,85,62,...71,96,78,76,68,72,75,83,93];display(‘SortedValues’],Gs=sort(G)bar(G),title(‘Scores’)8.G=[68,83,61,70,75,82,57,51,76,85,62,...71,96,78,76,68,72,75,83,93];hist(G),title(‘Scores’)9.quality=[2,4,8,4,2];pie(quality),title(‘QualityGrades’),legend(‘A’,’B’,’C’,’D’,’F’)10.useInsert→TextBoxtoentertextineachpieslice11.quality=[2,4,8,4,2];pie3(quality),title(‘QualityGrades’),legend(‘A’,’B’,’C’,’D’,’F’)12.x=0:pi/100:20*pi;y=x.*sin(x);z=x.*cos(x);plot(x,y),title(‘plotofy’),xlabel(‘x,radians’),ylabel(‘y’),grid13.assumes computation of x, y, z in problem 12polar(x,y),title(‘polarplotofy’),xlabel(‘x,radians’),ylabel(‘y’)14.assumes computation of x, y, z in problem 12plot3(x,y,z),title(‘3DPlot’),xlabel(‘x’),ylabel(‘y’),zlabel(‘z’),grid15.assumes computation of x, y, z in problem 12plot3(z,y,x),title(‘TornadoPlot’),xlabel(‘x’),ylabel(‘y’),zlabel(‘z’),grid16.x=linspace(-3,3,100);y=linspace(-3,3,100);[new_x,new_y]=meshgrid(x,y);z=peaks(100);mesh(new_x,new_y,z),title(‘PeakFunction’),xlabel(‘x’),ylabel(‘y’),grid17.assumes computations in problem 16subplot(1,2,1),surf(z),title(‘PeakFunction’),xlabel(‘x’),ylabel(‘y’),gridsubplot(1,2,2),surf(new_x,new_y,z),title(‘PeakFunction’),xlabel(‘x’),ylabel(‘y’),grid

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1018.assumes computations in problem 16subplot(1,2,1),surf(new_x,new_y,z),shadinginterp,colormap(flag),title(‘PeakFunction’),xlabel(‘x’),ylabel(‘y’),gridsubplot(1,2,2),surf(new_x,new_y,z),shadinginterp,colormap(prism),title(‘PeakFunction’),xlabel(‘x’),ylabel(‘y’),grid19.assumes computations in problem 16contour(new_x,new_y,z),title(‘ContourPlot’),xlabel(‘x’),ylabel(‘y’),grid20.assumes computations in problem 16surfc(new_x,new_y,z),title(CombinationSurface/ContourPlot’),xlabel(‘x’),ylabel(‘y’),grid21.x=-5:0.1:5;g1=x.^3-5*x.^2+2*x+8;plot(x,g1);xlabel('x'),ylabel('g1'),grid;roots at -1, 2, 422.x=-5:0.1:5;g2=x.^2-4*x+4;plot(x,g2);xlabel('x'),ylabel('g2'),grid;root at 2(2ndorder, or double root)23.x=-5:0.1:5;g3=x.^2-2*x+2;plot(x,g3);xlabel('x'),ylabel('g3'),grid;no real roots24.x=-5:0.1:5;g4=x.^5-3*x.^4-11*x.^3+27*x.^2+10*x-24;plot(x,g4);xlabel('x'),ylabel('g4'),grid;roots at -3, -1, 1, 2, 4

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