K-55 oE rm mAn u7c: ruHAp tvr0ru pHUdruc pHAp rfruH Thdi gian : 90' - (Sinrh vi6n dudc phdp slt dUng tii lieu) \$l1g u*4 Trudng Dai hqc Su pham fp. Hd Chi Mihh Lop c0 nhdn Vat ly ll - 2006-2007 .4. Tjrn nghiQm gdn dung cfra phuong trinh: sin(x) Newton vrli c16 chinh xdc nh6 hon 10 5 trong do4n [0; - e-x = 0 bing phtfdng phr{p rl. 2. Giii he phtrong trinh vdi sai sd < l0-3: cho gid tri phrrong phrip l{p Gauss-Seidel tuydn tinh sau bing ban ddu Id (0,0,0): [tOx+ y-z=10 .l {x+l0y*z=12 I ln-y+10:=10 l. 3. tinn rich phin xiic dinh l*z/x birng: a) C6ng thrlc hinh thang vdi btJdc h = 0,25. b) Cdng thric Simpson vdi btTdc'h = 0,25. ,Srl-sd.Cr+di,g+d -tli chlnh xdc' linh bii ng phrf'rrg-ph:ipgiii=Xith-=-, 4. Cho bing gi:i tri sau: x -l 0 2 3 5 v 3 ll -27 r03 Drla vio bing tfOn, xdy dg'ng da ta i x,,={. tht'tc nQi suy Newton vi tinh gdn dring giri tri hhm 5. Tim nghiQm xd'p xi bhng phddng phrip Euler cria y(0) = I trong dqqn [0 ; 0'5] vdi h = 0,5. SosilnhvrsinghiQmchinh xric li : Y=2e^ - x - 1. phdclng trinh vi phf,n: y'= x * Y , 6 . = 0 ,25 . b) Cdng thric Simpson vdi btTdc'h = 0 ,25 . ,Srl-sd.Cr+di,g+d -tli chlnh xdc' linh bii ng phrf'rrg-ph:ipgiii=Xith- =-, 4. Cho bing gi:i tri sau: x -l 0 2 3 5 v 3. Vat ly ll - 20 0 6 -2 007 .4. Tjrn nghiQm gdn dung cfra phuong trinh: sin(x) Newton vrli c16 chinh xdc nh6 hon 10 5 trong do4n [0; - e-x = 0 bing phtfdng phr{p rl. 2. Giii he. phtrong trinh vdi sai sd < l 0-3 : cho gid tri phrrong phrip l{p Gauss-Seidel tuydn tinh sau bing ban ddu Id (0,0,0): [tOx+ y-z=10 .l {x+l0y*z= 12 I ln-y+10:=10 l. 3. tinn rich phin