1-显示20位有效数字码亡的近似值;>>vpa('pi',20)ans=3.1415926535897932385>>vpa('exp(1)',20)ans=2.71828182845904523542.将区间|-眄屈20等分,并以行向虽形式给出正弦函数在这些节点上的函数值:>>x=linspace(-pi,pi,21);>>y=sin(x)y=Columns1through6-0.0000-0.3090-0.5878-0.8090-0.9511-1.0000Columns7through12-0.9511-0.8090-0.5878-0.309000.3090Columns13through180.58780.80900.95111.00000.95110.8090Columns19through210.58780.30900.00001000123.计算£土-?的近似值(无韬度要求);>>k=1:1000;>>kk=1./k;>>kkk=kk./k;>>res=sum(kkk)-(piA2)/6res=丄』frn/tor・g7n«/,fer-(lagMem14TOsTeZ1NS-9.9950e-04LOGO14.计算X--M1000}的蚯似值(无箱度要求);^=1K%承接上题>>sum(kk)-log(1000)ans=0.57775.计算极限lnnO十丄广;>>power(1+eps,1/eps)ans=2.71836.计算£F;(MuPad命令)t=i_|Notebooks*-IMuPAD_「FileEditVleu^Nafulgatlan典FormatNDtebo^tWindowHelpB3□出日曲瀚|IE•■岭CffnscicS&Q5SczifV»|52J30工爺”CmcTd]HathTPlotC&Liands«7-生成两个用中的随机向量也上,并计算它们的内积,向量扯度,向量之间的夹角;>>a=rand(2,3)0.81470.9058>>x=a(1,:)0.12700.91340.63240.0975x=CouwdBarsumpk)0.8147>>y=a(2,:)0.12700.6324y=0.90580.91340.0975>>norm(x)ans=1.0391>>norm(y)ans=1.2900>>acos(dot(x,y)/norm(x)/norm(y))ans=0.81898-生成三个疋中的随机向量么丘“判断它们是否践性无关,>>rand(3,3)ans=0.27850.96490.950.54690.15760.48540.95750.97060.80>>det(ans)ans=0.2937线性无关g.生成三个尸中的随机三个点zs计算它们构威的三角形的面积'a=0.39220.70600.65550.03180.17120.2769>>x=a(1,:)x=0.39220.7060>>y=a(2,:)y=0.65550.0318>>z=a(3,:)z=0.17120.2769>>alpha=x-zalpha=0.22100.4291>>beta=y-zbeta=0.4843-0.2451>>alpha=[alpha0]alpha=0.22100.4291>>beta=[beta0]beta=0.4843-0.2451>>cross(alpha,beta)ans=0面积0.26200-0.2620牛1213…19〕2]2223…29313233…39Ji93>>a=11:19;>>b=a;>>fork=1:8b=[b;a+10*k];end>>rank(b)ans=2>>a=vander(1:9);(111…『1222…2s1332…38J;…9\>>b=fliplr(a)Columns1through5111111248161392781141664256152512562516362161296174934324011864512409619817296561Columns6through9111132641282562437292187656110244096163846553631251562578125390625777646656279936167961616807117649823543576480132768262144209715216777216590495314414782969430467>>det(b)ans=5.0566e+1512-用两种不同的方式定艾二元函数/也丼=占切十站(护十天),井在相应定义形式下计算r(t2);方式一>>f=@(x,y)exp(x+y)+sin((xA2)+(yA2))@(x,y)exp(x+y)+sin((xA2)+(yA2))>>f(1,2)ans=19.1266方式二functionf=myfunfun(x,y)f=exp(x+y)+sin((x^2)+(yA2));>>myfunfun(1,2)ans=19.126613.运的边0位小数近似值为:1.4142135623730950488016887242096980785696718753760480731766797379907324784621070388503875343276415727j>>Char1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727>>a=ans;>>sqrt2char(3-2)=a(3)sqrt2char=4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727>>forx=1:100b(x)=str2num(sqrt2char(x))end>>sum(b)/100ans=4.8100>>ezplot(f,-2,1)10(x3|5叫x州F沖+kCOFiteEditVkfwInsertTneJsDtrsktopWindowHdp□JJB瓦-、凸宣嗚晁*层口舀9O14.画出函数/(x)=^smW+x2+在区间[-2』上的图象,并计算出该区间上的两个零点;f=@(x)(xT)*sin(x)+(xA2)/3+x*cos(x)@(x)(xA3)*sin(x)+(xA2)/3+x*cos(x)>>x0=fzero(f,-1)x0=-0.7889另一根为0是显然的-X—<—JT15.画岀分段函数孑何“血㈤厂汇心在区间卜五闷上的图象;(X—7r}!2^X>71functiony=difun(x)ifx<-piy=-x-pi;elseifx>-pi&x
>y=[]y=[]>>forx=-6:0.05:6y=[ydifun(x)];end>>plot(x,y)>>plot([-6:0.05:6],y)16.分别用矩形公式=梯形公式.Simpson...