MATLAB程序设计教程第二版课后详解

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1、un it3-8MATLAB第二版课后答案unit3实验指导1、n=i nput( 请输入一个三位数：);a=fix( n/100);b=fix( n-a*100)/10);c=n-a*100-b*10;d=c*100+b*10+a2( 1)n=input(请输入成绩);switch ncase num2cell(90:100)p=A;case num2cell(80:89)p=B;case num2cell(70:79)p=C;case num2cell(60:69)p=D;otherwisep=E;endprice=p(2) n=input(请输入成绩);if n=90&n =80&n =

2、70&n =60&n aa=n( m);elseif n(m )bb=n( m);endendmax=amin=b法2n=1,5,56,4,3,476,45,6,3,76,45,6,4,3,6,4,23,76,908,6;mi n=mi n(n)max=max (n)4b=-3.0:0.1:3.0;for n=1:61a=b( n);y(n )=(exp(0.3*a)-exp(-0.3*a)/2*si n(a+0.3)+log(0.3+a)/2);endy5y1=0;y2=1；n=input(请输入n的值：);for i=1: ny仁y1+1/iA2;y2=y2*(4*i*i)/(2*i-1)

3、*(2*i+1);endyiy26A=1,1,1,1,1,1;2,2,2,2,2,2;3,3,3,3,3,3;4,4,4,4,4,4;5,5,5,5,5,5;6,6,6,6,6,6;n=input(请输入n的值:);if n=0disp(A( nelseif n0disp(lasterr);else disp(A(6,:);disp(lasterr);end7 (1 )f=;for n=1:40f(n )=n+10*log( n2+5);endy=f(40)/(f(30)+f(20)(2)f=；a=0;for n=1:40f(n )=a+n*( n+1);a=f(n);endy=f(40)/(

4、f(30)+f(20)8y=0;m=input(输入 m 的值:);n=input(输入 n 值：);for i=1: ny=y+iAm;endy*function s=shi8_1( n,m)s=0;for i=1: ns=s+iAm;end*shi8_1(100,1)+shi8_1(50,2)+shi8_1(10,1/2)思考练习2N=1,2,3,4,5;2.*NN./21./N1./N.A23s=fix(100*ra nd(1,20)*9/10+10)y=sum(s)/20j=0；for i=1:20if s(i) y&rem(s(i),2)=0j=j+1；A(j)=s(i)；else

5、con ti nue;endendA4y1=0;y2=0;n=input(请输入n的值：);for i=1: ny1= y1+-(-1)Ai/(2*i-1);y2=y2+1/4Ai;endyiy2unit4实验指导1 (1)x=-10:0.05:10;y=x-x.A3./6;Plot(x,y)(2)x=-10:0.5:10;ezplot(xA2+2*yA2-64,-8,8);grid on;t=-pi:pi/10:pi;y=1./(1+exp(-t); subplot(2,2,1);bar(t,y); title(条形图(t,y);axis(-pi,pi,0,1);subplot(2,2,2)

6、;stairs(t,y,b);title(阶梯图(t,y); axis(-pi,pi,0,1);subplot(2,2,3); stem(t,y,k);title(杆图(t,y); axis(-pi,pi,0,1);subplot(2,2,4); loglog(t,y,y);title(对数坐标图(t,y);3 (1)t=0:pi/50:2*pi;r=5.*cos(t)+4; polar(t,r);title(rho=5*costheta+4);t=-pi/3:pi/50:pi/3;r=5.*(s in (t).A2)./cos(t); polar(t,r);4 (1)t=0:pi/50:2*

7、pi;x=exp(-t./20).*cos(t);y=exp(-t./20).*si n( t);z=t;plot3(x,y,z);grid on;(2)x,y=meshgrid(-5:5); z=zeros(11)+5; mesh(x,y,z);shad ing in terp;5x,y,z=sphere(20); surf(x,y,z);axis off;shad ing in terp;m=moviei n(20);for i=1:20axis(-i,i,-i,i,-i,i) m(:,i)=getframe;endmovie(m,4);思考练习2 (1)x=-5:0.1:5;y=(1./

8、(2*pi).*exp(-(x.A2)/2); plot(x,y);(2)t=-2*pi:0.1:2*pi;x=t.*s in( t);y=t.*cos(t);plot(x,y);grid on;3t=O:pi/1OOO:pi;x=si n(3.*t).*cos(t);y1=si n(3.*t).*si n( t);y2=2.*x-0.5;plot(x,y1,k,x,y2);hold on;k=fi nd(abs(y1-y2)0.5)n=n+1;endendny=n/300005p=45,74,54,55,14;78,98,45,74,12;87,98,85,52,65M,S=max(p)N,

9、H=mi n(p)jun zhi=mea n( p,1)fan gcha=std(p,1,1)zon g=sum(p,2);Max,wei=max(z ong)Mi n, wei=mi n(zong)zcj,xsxh=sort(z on g,desce nd)6x=1:10:101;y=0,1.0414,1.3222,1.4914,1.6128,1.7076,1.7853,1.8513,1.9085,1.9590,2.0043;p,s=polyfit(x,y,5)a=1:5:101;y1=polyval(p,a);plot(x,y,:o,a,y1,-*)unit6实验指导1A=1/2,1/3,

10、1/4;1/3,1/4,1/5;1/4,1/5,1/6;p=0.95,0.67,0.52;x=ApA=1/2,1/3,1/4;1/3,1/4,1/5;1/4,1/5,1/6;p=0.95,0.67,0.53;x=Apcon d(A)2 (1)x1=fzero(fu nx1,-1)fun ctio n fx=fu nx1(x)fx=xA41+xA3+1;(2)x2=fzero(fu nx2,0.5)fun ctio n fx=fun x2(x)fx=x-s in( x)/x;(3)optio ns=optimset(Display,off);x=fsolve(fu n3,1,1,1,optio

11、ns)q=fu n3(x)function q=fun 3(p)x=p(1);y=p(2);z=P(3)；q(1)=si n(x)+y2+log (z)-7;q(2)=3*x+2Ay-zA3+1;q(3)=x+y+z-5;3 (1)to=o；tf=5;y0=1;t,y=ode23(fu n4,tO,tf,yO); tyfunction yp=fu n4(t,y)yp=-(1.2+si n(10*t)*y;(2)t0=0;tf=5;y0=1;t,y=ode23(fu n5,t0,tf,y0); tyfunction yp=fu n5(t,y)yp=cos(t)-y/(1+tA2);4x=fm i

12、nbn d(m ymin, 0,2);-mymi n(x)fun ctio n fx=mymi n(x)fx=-(1+x.A2)/(1+x.A4);5optio ns=optimset(Display,off);x,fval=fmi neon (fu n6,0,0,0,a,b,lb,ub)-fvalfun ctio n f=fun 6(x)f=-(sqrt(x(1)+(400-x(1)*1.1+(sqrt(x(2)+(400-x(1)*1.1-x(2)*1.1+sqrt(3)+(400-x(1)*1.1-x(2)*1.1-x(3)*1.1+sqrt(x(x4);思考练习1 (1)A=2,3,5

13、;3,7,4;1,-7,1;B=10,3,5;C1=i nv(A)*BC2=ABL,U=lu(A);x=U(LB)(2)A=6,5,-2,5;9,-1,4,-1;3,4,2,-2;3,-9,0,2;B=-4,13,1,11;C1=i nv(A)*BC2=ABL,U=lu(A);x=U(LB)2 (1 )x1=fzero(fu nx1,1.5)fun ctio n fx=fu nx1(x)fx=3*x+si n( x)-exp(x);(2)x1=fzero(fu nx2,1)fun ctio n fx=fun x2(x) fx=x-1/x+5;(3)optio ns=optimset(Displ

14、ay,off); x=fsolve(fu n3,3,0,optio ns)q=fu n3(x)function q=fun 3(p)x=p(1);y=p(2);q(1)=xA2+yA2-9;q(2)=x+y-1;3 (1)to=o；tf=5;yo=o,i;t,y=ode45(vdpol,t0,tf,y0);t,yfunction ydot=vdpol(t,y);ydot(1)=(2-3*y(2)-2*t*y(1)./(1+tA2);ydot(2)=y(1);ydot=ydot;(2)t0=0;tf=5;yo=i；o；2；t,y=ode45(vdpoll,t0,tf,y0);t,yfunctio

15、n ydot=vdpoll(t,y);ydot(1)=cos(t)-y(3)./(3+si n( t)+5*y(1).*cos(2*t)/(t+1)A2)-y(2);ydot(2)=y(1);ydot(3)=y(2);ydot=ydot;4x=fmi nbn d(mymi n,O,pi);-mymi n(x)fun ctio n fx=mymi n(x)fx=-s in( x)-cos(x.A2);5x,y1=fmi nbn d(mymax,0,1.5);-yifun ctio n fx=mymax(x);fx=-(9*x+4*x.A3-12*x.A2);unit7实验指导1 (1)forma

16、t lo ngfx=i nli ne(s in (x)./x);I, n=quadl(fx,0,2,1e-10)(2)format lo ngfx=i nlin e(1./(x-0.3).A2+0.01)-1./(x-0.9).A2+0.04)-6);I, n=quad(fx,0,1,1e-10)2 (1)global ki;ki=O;l=dblquad(fxy,0,1,0,1)ki(2)f=i nlin e(abs(cos(x+y),x,y);l=dblquad(f,O,pi,O,pi)3X=0.3:0.2:1.5;F=0.3895,0.6598,0.9147,1.1611,1.3971,1

17、.6212,1.8325;trapz(X,F)4p=0:pi/5:2*pi;for n=1:3nDX=diff(si n(p),n)end5f=inlin e(si n(x)./(x+cos(2.*x);g=i nlin e(cos(x).*(x+cos(2*x)-si n(x).*(1-2.*si n(2*x)/(x+cos(2.*x).A2);x=-pi:0.01:pi;p=polyfit(x,f(x),5);dp=polyder(p);dpx=polyval(dp,x);%求dp在假设点的函数值dx=diff(f(x,3.01)/0.01;%直接对f(x)求数值导数gx=g(x);%求函

18、数f的导函数g在假设点的导数plot(x,dpx,x,dx,.,x,gx,-);%作图思考练习2format Io ngfx=i nlin e(1./(1+x.A2);I, n=quad(fx,-l nf,ln f,1e-1O)I, n=quadl(fx,-I nf,In f,1e-10) x=-100000:100000;y=1丿(1+x42);trapz(x,y)format short3(1)format Io ngfx=i nli ne(log(1+x)./(1+x.A2);I, n=quad(fx,0,1,1e-10)format lo ngfx=i nli ne(sqrt(cos(

19、t.A2)+4*si n( (2辻).人2)+1);I, n=quad(fx,0,2*pi,1e-10)4A2.*y-x.A2);l=triplequad(f,0,pi,0,pi,0,1)5f=in lin e(si n( x);g=i nli ne(cos(x);x=0:0.01:2*pi;p=polyfit(x,f(x),5);dp=polyder(p);dpx=polyval(dp,x);dx=diff(f(x,2*pi+0.01)/0.01;gx=g(x);plot(x,dpx,x,dx,.,x,gx,-)unit8实验指导1syms x y;s=xA4-yA4;factor(s)fa

20、ctor(5135)2syms x;f=(x-2)/(xA2-4);limit(f,x,2) sym x;f=(sqrt(pi)_sqrt(acos(x)/sqrt(x+1);limit(f,x,-1,right)3sym x;f=si n(1/x);diff(f,x)diff(f,x,2) sym x; f=(1-cos(2*x)/x;diff(f,x)diff(f,x,2)4sym x;f=sqrt(exp(x)+1);in t(f,x)syms x y;f=x/(x+y);in t(f,y)sym x;f=exp(x)*(1+exp(x)A2;in t(f,x,0,log(2)sym x

21、;f=x*log(x);in t(f,x,1,exp(1)5sym x;s=symsum(-1)A(x+1)/x,1,l nf)sym y;z=symsum(yA(2*y-1)/(2*y-1),1,l nf)6sym x;f1=(exp(x)+exp(-x)/2;f2=sqrt(xA3-2*x+1);taylor(f1,x,5,0)taylor(f2,x,6,0)7syms x y a;x=solve(xA3+a*x+ 1=0,x)x=solve(si n(x)+2*cos(x)-sqrt(x)=0,x)x y=solve(log(x/y)=9,exp(x+y)=3,x,y)8syms n;x

22、,y=dsolve(x*(D2y)+(1- n)*(Dy)+y=O,y(O)=O,Dy(O)=O,x)思考练习2syms x B1 B2 a bs1=2*(cos(x)A2)-(si n(x)A2;s2=si n( B1)*cos(B2)-cos(B1)*si n( B2);s3=sqrt(a+sqrt(aA2-b)/2)+sqrt(a-sqrt(aA2-b)/2);s4=(4*xA2+8*x+3)/(2*x+1);h1=simplify(s1)h2=simplify(s2)h3=simplify(s3)h4=simplify(s4)3syms x a;f=abs(x)/x;limit(f,x

23、,O,left) f=(x+a/x)Ax;limit(f,x,i nf)4syms x y mf=sqrt(x+sqrt(x+sqrt(x);m=diff(f,x)diff(m,x)syms x y;f=x+y-sqrt(xA2+yA2);z仁diff(f,x)z2=diff(f,y)5syms x y;f=x+y-sqrt(xA2+yA2);z1=diff(f,x)z2=diff(f,y)sym x;f=1/(asi n(x)A2*(1-xA2)A(1/2);in t(f)6syms xf=1/(1+x);in t(f,0,4)sym x;f=xA3*si n(x)A2/(xA6+2*xA4

24、+1);in t(f,-1,1)sym x;f=xA3*si n(x)A2/(xW+2*xA4+1);in t(f,-1,1)7syms ns=symsum(1/4A n,1,i nf)sym n;s=symsum( n+1)/in)A(1/2),1,i nf) eval(y)8syms xf=ta n(x);taylor(f,x,3,0)syms xf=si n(xF2;taylor(f,x,5,0)9syms xx=solve(log(1+x)-5/(1+si n(x)=2,x)syms x y zxyz=solve(4*xA2/(4*xA2+1)=y,4*yA2/(4*yA2+1)=z,4*zA2/(4*zA2+1)=x,x,y,z)10x ,y=dsolve(Dx=3*x+4*y,Dy=5*x-7*y,x(0)=0,y(0)=1,t)