一、试由/(x)=2“的函数表101y0512建立二次插值多项式pu(x),用以求2“的近似值.并估计误差.05(r-0)ec-DLGc+DUGc-D,2(x+DCr-0)_答孵z(澈)二(一1一0)(一1一1)十(0+D0-UGQ+UQ+0)一0.25x2一0.2Sx一灰十1十7十一0.25x2十0.75xr+一2&D.(0.3)=0.25.0.3*+0.75.0.3+1=1.2475一乙C)=n2j2M=max|/vC|=2(In2)“=0.6660-Sxsl忡佣二D(03)0)史的数据拟合:“|1.001.251.501.752.00;|5.105.796.537.458.46对经验公式y=ae“取对数,得Iny=lna+Dx于=In)作支换暹壬_fna取p.(JJ=5p(aJ=相应的数据(x,y荣化为(x,卫)列表如下;则有7=4+DxX;:|100|1.2511.5011.7512.00小:|1.629|1.756|1.876|2.008|2.13511.001.62911.231.756友=|11.50工=|1.87611.732.00812.002.133瓜二又7叉=?.5万=叉=7.5【11.873匕x二厂乙/二/1F二么=1.122,05=0.5064二e二3.071/二乙/召步芷二3-07160jO6X