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x=linspace(0,2*pi,150);
y=cos(x).*(0.5+(3*sin(x))./(1+x.^2)); plot(x,y,¡¯r¡ª¡®) xlabel(¡® x ¡®) ylabel(¡® y¡¯)
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(1)t=linspace(0,4*pi,100); x=sin(t) a=4; figure(1) for N=1:4
y=sin(N*t+a); subplot(2,2,N); plot(x,y)
k=['N=',num2str(N)] title(k) end
(2)N=2;i=1; figure(2)
for a=[0,pi/3,pi/2,pi] y=sin(N*t+a); subplot(2,2,i); plot(x,y)
k=['a=',num2str(a)] title(k) i=i+1; end
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x=-3:0.1:3; y=x;
[X,Y]=meshgrid(x,y);
Z=X.^2.*exp(-(X.^2+Y.^2)) mesh(X,Y,Z)
Z1=0.05*X-0.05*Y+0.1
hold on
mesh(X,Y,Z1) hold off alpha(1)
4¡¢ Éèf(x)?12x?31£¬Ð´³öÒ»¸öMATLABº¯Êý³ÌÐòf31.m£¬Ê¹µÃµ÷ÓÃf1?(x2?2)2?2x4?6ʱ£¬x¿ÉÒÔÓþØÕó´úÈ룬µÃµ½µÄf(x)Ϊͬ½×¾ØÕó¡£»³öx?[0,4]Çø¼äÄÚµÄf31ÇúÏß¡£ ·Ö±ð±àдÖ÷³ÌÐòzhu.mºÍ×Ó³ÌÐòf31.m´æÔÚÓ²ÅÌÉÏ¡£ÔÚMATLABÃüÁî´°¿Ú¼üÈëÖ÷³ÌÐòÃûzhuÔËÐÐÖ÷³ÌÐò¡£ %Ö÷³ÌÐòzhu.m x=0:0.01:4 f1=f31(x) plot(x,f1)
%×Ó³ÌÐòf31.m function f=f31(x)
f=1./((x.^2-2).^2+2)+(2.*x+31)./( x.^4+6)
5¡¢Çó³ö±í´ïʽ
y?e?2tsin(3t)ÔÚt=[0,10]Çø¼ä±ä»¯Ê±Êä³öy£¬²¢Éú³ÉÏÂͼËùʾ²¨ÐΡ£Çë±à
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clear;a=2;w=3; t=0:0.01:10; y=exp(-a*t).*sin(w*t); [ymax,imax]=max(y);
ttext=['t=',num2str(t(imax))]; ytext=['y=',num2str(ymax)]; maxtext=char('maximum',ttext,ytext);
tit=['y=exp(-',num2str(a),'t)*sin(',num2str(w),'t)']; plot(t,zeros(size(t)),'k') ; hold on plot(t,y,'b') plot(t(imax),ymax,'r.','MarkerSize',20) text(t(imax)+0.3,ymax+0.05,maxtext) title(tit),xlabel('t'),ylabel('y'),hold off
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