数值分析第五版习题答案清华大学出版社

10x,xlnx*x*****rexxexx=lnx1ln*ln*ln**exxxex(ln*)x2x2%nx()nfxx'()||()pxfxCfx1'()nfxnx,1||npxnxCnn((*))(*)rprxnCx(*)rex2((*))0.02nrxn3*11.1021x,*20.031x,*3385.6x,*456.430x,*571.0.x*11.1021x*20.031x*3385.6x*456.430x*571.0.x4(2.3)(1)***124xxx,(2)***123xxx,(3)**24/xx.****1234,,,xxxx3*41*32*13*34*151()1021()1021()1021()1021()102xxxxx***124***1244333(1)()()()()1111010102221.0510xxxxxx***123*********123231132143(2)()()()()1111.10210.031100.031385.6101.1021385.6102220.215xxxxxxxxxxxx**24****24422*4335(3)(/)()()110.0311056.430102256.43056.43010xxxxxxx51R343VR23'4343pRVRRCVR(*)(*)3(*)rprrVCRR(*)1rVR1(*)10.333rR6028Y11783100nnYYn=1,2,100Y78327.9825100Y11783100nnYY100991783100YY99981783100YY98971783100YY101783100YY10001100783100YY1000783YY78327.982,100027.982YY*310001()()(27.982)102YY100Y31102725610xx478327.98225610xx1,228783x1287832827.98255.982x1x52111287830.0178632827.98255.98228783x2x58N1211NNdxx121arctan(1)arctan1NNdxNNxarctan(1),arctanNNtan1,tan.NN12211arctan(tan())tantanarctan1tantan1arctan1(1)1arctan1NNdxxNNNNNN9100cm21cm2()Axx(*)2*(*)AAx.*100x(*)1A,21(*)102x0.005cm21cm10212Sgtgt0.1tS21,02Sgtt2(*)(*)Sgtt*t*S2*2*(*)(*)*(*)1()2(*)2rSSSgttgttt*t(*)t*S11ny1101nnyy(n=1,2,),021.41y10y021.41y201(*)102y1101nnyy10101yy10(*)10(*)yy21101yy21(*)10(*)yy220(*)10(*)......yy101001028(*)10(*)1101021102yy10y81102126(21)f261(21),3(322),31(322)997026(1)yx2x*1.4x*11102x61(21)y***7***7**1(1)6(1)yxxyxxyx3(322)y**2******(32)632yxxyxxyx31(322)y***4***7**1(32)1(32)yxxyxxyx31(322)132()ln(1)fxxx,(30)f622ln(1)ln(1)xxxx2()ln(1)fxxx,(30)ln(30899)f899,(30)uyf*u*412u****310.0167yuuu22ln(1)ln(1)xxxx(30)ln(30899)f****7159.9833yuuu11,1,2x()0,3,4fx,()fx0120121200102021101201220211,1,2,()0,()3,()4;()()1()(1)(2)()()2()()1()(1)(2)()()6()()1()(1)(1)()()3xxxfxfxfxxxxxlxxxxxxxxxxxlxxxxxxxxxxxlxxxxxxx220()()kkkLxylx0223()4()14(1)(2)(1)(1)23537623lxlxxxxxxx2()lnfxxX0.40.50.60.70.8lnx-0.916291-0.693147-0.510826-0.356675-0.223144ln0.5401234012340.4,0.5,0.6,0.7,0.8;()0.916291,()0.693147()0.510826,()0.356675()0.223144xxxxxfxfxfxfxfxln0.54(0.54)f0.50.540.62112122111122()10(0.6)()10(0.5)()()()()()xxlxxxxxxlxxxxLxfxlxfxlx6.93147(0.6)5.10826(xx1(0.54)0.62021860.620219Lln0.541200102021101201220212001122()()()50(0.5)(0.6)()()()()()100(0.4)(0.6)()()()()()50(0.4)(0.5)()()()()()()()()()xxxxlxxxxxxxxxxxlxxxxxxxxxxxlxxxxxxxLxfxlxfxlxfxlx500.916291(0.5)(0.6)69.3147(0.4)(0.6)0.51082650(0.4)(0.5xxxxxx2(0.54)0.615319840.615320L3cos,090xx1(1/60),h5cosxcosxx5cosx0090x()cosfxx0110,()606018010800xh0,0,1,...,5400ixxihi5400902x1,kkxxx11111()()()kkkkkkkkxxxxLxfxfxxxxx111()cos()()()()2kkRxxLxfxxxx5cos0,1x*5**112111*1111*1*1(())102()(())(())(())()1(())()(())kkkkkkkkkkkkkkkkkkkkfxxxxxRxfxfxxxxxxxxxfxxxxxfxxxxxhfx12*1*12*855()()1(cos)()()(())21()()(())211()(())2211.06101020.5010610kkkkkkkRRxRxxxxxfxxxxxfxhfx410()nkkjjjxlxx(0,1,,)kn20()()0nkjjjxxlx(0,1,,)kn1()kfxx,0,1,,jxjn()fxn0()()nknjjjLxxlx(1)1()()()()()(1)!nnnnfRxfxLxxn,kn(1)()0()0nnfRx0()nkkjjjxlxx(0,1,,)kn00000(2)()()(())()()(())nkjjjnnjikikjjjinnikiikjjijxxlxCxxlxCxxlx0in0()nkijjjxlxx0()()0nikiikikCxxxx52(),fxCab()()0,fafb21max()()max().8axbaxbfxbafx01,xaxb10101010()()()xxxxLxfxfxxxxx=()()xbxafafbabxa1()()0()0fafbLx1011()()()()()()2RxfxLxfxxxxx011()()()()2fxfxxxxx012012102()()1()()21()41()4xxxxxxxxxxba21max()()max().8axbaxbfxbafx644x()xfxexe610h1,iixx1ix2111()()()()()3!iiiRxfxxxxxx211441()()()()max()6iiixRxxxxxxxfxh11,iiiixxhxxh43432123().62733Rxeheh61062436()10310270.0065.Rxehh7442,.nnnnyyy2nny44(1)nnyEy44044044044(1)4(1)4(1)2(21)2jjnjjnjjjjnjnnnEyjyjyjyy114422()nnyEEy14422422()(1)2nnnnEEyEyy8()fxm()()()fxfxhfx()fxk()(0)kfxkmmk1()0mfxl()fxTaylor2()(1)1111()()()()()()2!(1)!mmmmfxhfxfxhfxhfxhfhmm(,)xxh()fxm(1)()0()()()mffxfxhfx2()11()()()2!mmfxhfxhfxhm()fx1m2()(())fxfx2()fx2m()kfxmk()mfxl1()0mfx91()kkkkkkfgfggf11()kkkkkkfgfgfg111111111()()kkkkkkkkkkkkkkkkkkkkkkfgfgfgfggfffgggffgfggf101100100nnkknnkkkkfgfgfggf1()kkkkkkfgfggf1011011100(())()nkkknkkkkknnkkkkkkfgfggffggf1110110022111100()()()()()kkkkkknkkknnnnnnfgfgfgfgfgfgfgfgfgfgfgfg1100100nnkknnkkkkfgfgfggf111200njnjyyy112100()nnjjjjjyyy102110()()()nnnyyyyyyyy121011()nnnnfxaaxaxaxn12,,,nxxx1100,02;(),1knjjjknxfxnkn()fx12,,,nxxx1011()nnnnfxaaxaxax12()()()()nnfxaxxxxxx12()()()()nnxxxxxxx11()()kknnjjjjjnnjxxfxax2313()()()()()()()nnnxxxxxxxxxxxxx121()()()nxxxxxx1211()()()()()()njjjjjjjjnxxxxxxxxxxx(),kgxx121,,,()knjnjnjxgxxxx121,,,()knjnjnjxgxxxx1211,,,()knjnjjnxgxxxfxa1100,02;(),1knjjjknxfxnkn13n1()()Fxcfx0101,,,,,,;nnFxxxcfxxx2()()()Fxfxgx010101,,,,,,,,,.nnnFxxxfxxxgxxx1120011(),,,()()()()jnnjjjjjjjnfxfxxxxxxxxxxx120011(),,,()()()()jnnjjjjjjjnFxFxxxxxxxxxxx0011()()()()()jnjjjjjjjncfxxxxxxxxx0011()()()()()()jnjjjjjjjnfxcxxxxxxxx01,,,ncfxxx(2)()()()Fxfxgx00011(),,()()()()jnnjjjjjjjnFxFxxxxxxxxxx0011()()()()()()jjnjjjjjjjnfxgxxxxxxxxx0011())()()()()jnjjjjjjjnfxxxxxxxxx+0011())()()()()jnjjjjjjjngxxxxxxxxx00,,,,nnfxxgxx1474()31,fxxxx0172,2,,2F0182,2,,2F74()31fxxxx2,0,1,,8iixi()01(),,,!nnffxxxn(7)017()7!,,,17!7!ffxxx(8)018(),,,08!ffxxx15(4)22311()()()()/4!,(,)kkkkRxfxxxxxx1[,]kkxxx33()(),