数学实验习题答案

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1、1.1symsxlimit((l708*x-sin(l708*x))/x.A3,x,0)ans=1993006125/2limit((l708*x-sin(l708*x))/x.A3,x,inf)ans=01.2diff(exp(x).*cos(l708*x/1000),x,2)ans=-(91769*cos((363*x)/200)*exp(x))/40000-(363*sin((363*x)/200)*exp(x))/1001.3clear»symsxy»int(int(exp(x.A2+y.A2),y,0,1),x,0,1)ans=(pi*erfi(l)A2)

2、/41.4symsx»int(x.A4/(1708*1708+4*x.A2),x)ans=(5979018375*atan((2*x)/l708))/32・(3294225*x)/l6+xA3/12卜寸IZEOC卜寸、(E

3、66EZ66z4^9E6EZINSUE(0一><,(F80卜一)so。*.(x)dxg主pAAxseasZIvonnoj£lsulunoo9L&nojq二sulunoopuo(3+(.兰"亠)Jm3」£AA二Ae)J二As(II三」ndu「=nduHuAAJeQoOOZK(zm,9$p(z=)vooz)9ZZ7EZ二

4、,1708/1000];»inv(A)4.9054-1.10142702700.5000010.8108-2.7027-5.4054»eig(A)ans=-0.0925+0.6012i-0.0925・().6012i2.0000»[P,D]=eig(A)p=04265-0.1344i00.89440.4265+0.1344i00.89440.24250.97010.0000-0.0925+0.6012i00-0.0925-0.6012i02.0000»det(A)ans=0.7400>>A*A*A*A*A*Aans=0.096600.2673»AA6ans=0.09

5、6600.267315.975864.0000-0.066815.975864.0000-0.0668-0.06680-0.1583-0.06680-0.1583functiony=f(x)if0<=x&x<=l/2y=2.0*x;elsel/2

6、,-2,2;-3,0,5;l,5*1708,3J;»B=[l,3,4；-2,0,-3；2,-l,l];»det(A)ans=-235978»2*A-Bans=7-40»A*Bans=127-701708110-14-18143013524・7-27218»A.*B2-90758-153»A*inv(B)ans=1.Oc+O3*-0.0000-0.00275.1853-0.0000-0.00809.07300.0020-0.00816.4809»inv(A)*B0.34620.0002019230.5768-0.00030.34611.000()0-0.0000»A*

7、Aans=24181424-7453819-272182722345386»Aans=-3109075534-221.12symsx;fplot(*(l/(sqrt(2*pi)*(1708/600)))*exp(-((x)A2)/(2*(l708/600)A2)),,[-5,5]；r,)holdonfplot(,(l/(sqrt(2*pi)*(l708/600)))*exp(-((x+1)A2)/(2*(1708/600)A2))',[-5,5]；y,)holdonfplotC(l/(sqrt(2*pi)*(l708/600)))*exp(-((x-1)A2)/