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ieN 5. (a) Uli,i+ 1]= (b) Nli, ieN ieN 6. (a) | Iro.i +11=

ieN 5. (a) Uli,i+ 1]= (b) Nli, ieN ieN 6. (a) | Iro.i +11=

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For any (a,b)ER,let 0} ng set Pab) Consi Indexed Sets 29 +by=0. From that is, Pa,b) is a automatically sa Exercises for Section 1.8 1. Suppose A1 = {a,b,d,e,g.f}, A2 = {a,b,c,d}, As (a,b,h). (a) ỦA; = (b) 3:x+233D0. It i ex+2y 0. A1 {0,2,4,8,10,12, 14, 16, 18,20,22,24}, 2. Suppose A2 = {0,3,6,9, 12, 15, 18,21,24}, A3 {0,4,8, 12, 16,20,24}. (a) ỦA; = (b) i=1 3. For each nEN, let A, = {0, 1,2,3,...,n}. (a) UA¡ = (b) NA - ieN For each n EN, let A, = {-2n,0,2n}. (a) UA = (b) Ai ieN 5. (a) Uli,i+1] = (b) Nli,i+1]= ieN bian ieN (b) N[0,i +1] = 6. (a) Uto,i+ 1] = ieN ieN nt ni s 7. (a) URX[i,i+1] = (b) NR×[i,i+1]= ieN ieN (b) N {a} × [0,1]= ning the z-axis 8. (a) U{a} x [0,1] = Joo acR U X = XeP(N) (b) N X = XeP(N) 9. (a) alize P(a,b) as i = 0. Figure l s intersect aly U [x, 1] x [0,x] = (b) xe[0,1] n (x, 1) x [0, x1= (10, (a) xe[0,1] t is immedit 11. Is NAa SUAq always true for any collection of sets Aa with index set I? ael ael 12. If NAa =UAa, what do you think can be said about the relationships between ael the sets Aa? 13. If J#Ø and JcI, does it follow that U AaSUAq? What about N Aa sN Aa? aEJ ael Ongs to thes y 0, (Inat aeJ ael only Pa e have aEJ 14, If J#Ø and JcI, does it follow that AasN Aa? Explain. ael
Transcribed Image Text:For any (a,b)ER,let 0} ng set Pab) Consi Indexed Sets 29 +by=0. From that is, Pa,b) is a automatically sa Exercises for Section 1.8 1. Suppose A1 = {a,b,d,e,g.f}, A2 = {a,b,c,d}, As (a,b,h). (a) ỦA; = (b) 3:x+233D0. It i ex+2y 0. A1 {0,2,4,8,10,12, 14, 16, 18,20,22,24}, 2. Suppose A2 = {0,3,6,9, 12, 15, 18,21,24}, A3 {0,4,8, 12, 16,20,24}. (a) ỦA; = (b) i=1 3. For each nEN, let A, = {0, 1,2,3,...,n}. (a) UA¡ = (b) NA - ieN For each n EN, let A, = {-2n,0,2n}. (a) UA = (b) Ai ieN 5. (a) Uli,i+1] = (b) Nli,i+1]= ieN bian ieN (b) N[0,i +1] = 6. (a) Uto,i+ 1] = ieN ieN nt ni s 7. (a) URX[i,i+1] = (b) NR×[i,i+1]= ieN ieN (b) N {a} × [0,1]= ning the z-axis 8. (a) U{a} x [0,1] = Joo acR U X = XeP(N) (b) N X = XeP(N) 9. (a) alize P(a,b) as i = 0. Figure l s intersect aly U [x, 1] x [0,x] = (b) xe[0,1] n (x, 1) x [0, x1= (10, (a) xe[0,1] t is immedit 11. Is NAa SUAq always true for any collection of sets Aa with index set I? ael ael 12. If NAa =UAa, what do you think can be said about the relationships between ael the sets Aa? 13. If J#Ø and JcI, does it follow that U AaSUAq? What about N Aa sN Aa? aEJ ael Ongs to thes y 0, (Inat aeJ ael only Pa e have aEJ 14, If J#Ø and JcI, does it follow that AasN Aa? Explain. ael
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