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ieN (4 For each nEN, let A, = {-2n,0,2n}. (a) UA; = (b) NA: = ieN ieN

ieN (4 For each nEN, let A, = {-2n,0,2n}. (a) UA; = (b) NA: = ieN ieN

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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Only 4a
ing set Pab) consi For any (a,b)ER,let 0}. Indexed Sets 29 +by=0. From- that is, Pab) i8 a automatically sa Exercises for Section 1.8 a prev 1. Suppose A1 = {a,b,d,e,g,f}, A2 = {a,b,c,d}, As fa,b,h}. (a) ỦA; = (b) i-1 3:x+2y=0}. It i ex+2y= 0. {0,2,4,8,10,12, 14, 16, 18,20,22,24}, {0,3,6,9, 12, 15, 18,21,24}, {0,4,8, 12, 16,20,24}. A1 2. Suppose Ag = A3 (a) ỦA; = (b) i=1 3. For each n eN, let A, = {0, 1,2,3,..,n}. (a) UA¡ = (b) NA- ieN For each n EN, let A, = {- 2n,0,2n}. (b) NAi (a) UA = ieN 5. (a) Uli,i+ 1] = (b) Nli,i+1]= ieN bian ieN (b) N[0,i+1]= 6. (a) Ut0,i+ 1] = ieN ieN di ni (b) NRx[i,i+1]= 7. (a) UR×[i,i +1] = ieN ieN (b) N {a} × [0,1] = ning the z-axis 8. (a) U{a} × [0,1] = U X= XeP(N) (b) N X = XeP(N) 9. (a) alize P(,b) a ti = 0. Figure 1 s intersectaley (b) n [x, 1] x [0,a²]= (10, (a) U [x, 1] x [0,x] = xe[0,1] xE[0,1] t is immedit 11. Is NAa S U Aq 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? ael ôngs to the y 0, (Inat aEJ ael 13. If J#Ø and JCI, does it follow that UAaSUAq? What about NAasN Aa? aEJ only Pa e have ael aEJ (14, If J#Ø and JsI, does it follow that AaSN Aa? Explain.
Transcribed Image Text:ing set Pab) consi For any (a,b)ER,let 0}. Indexed Sets 29 +by=0. From- that is, Pab) i8 a automatically sa Exercises for Section 1.8 a prev 1. Suppose A1 = {a,b,d,e,g,f}, A2 = {a,b,c,d}, As fa,b,h}. (a) ỦA; = (b) i-1 3:x+2y=0}. It i ex+2y= 0. {0,2,4,8,10,12, 14, 16, 18,20,22,24}, {0,3,6,9, 12, 15, 18,21,24}, {0,4,8, 12, 16,20,24}. A1 2. Suppose Ag = A3 (a) ỦA; = (b) i=1 3. For each n eN, let A, = {0, 1,2,3,..,n}. (a) UA¡ = (b) NA- ieN For each n EN, let A, = {- 2n,0,2n}. (b) NAi (a) UA = ieN 5. (a) Uli,i+ 1] = (b) Nli,i+1]= ieN bian ieN (b) N[0,i+1]= 6. (a) Ut0,i+ 1] = ieN ieN di ni (b) NRx[i,i+1]= 7. (a) UR×[i,i +1] = ieN ieN (b) N {a} × [0,1] = ning the z-axis 8. (a) U{a} × [0,1] = U X= XeP(N) (b) N X = XeP(N) 9. (a) alize P(,b) a ti = 0. Figure 1 s intersectaley (b) n [x, 1] x [0,a²]= (10, (a) U [x, 1] x [0,x] = xe[0,1] xE[0,1] t is immedit 11. Is NAa S U Aq 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? ael ôngs to the y 0, (Inat aEJ ael 13. If J#Ø and JCI, does it follow that UAaSUAq? What about NAasN Aa? aEJ only Pa e have ael aEJ (14, If J#Ø and JsI, does it follow that AaSN Aa? Explain.
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