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7. ΣΣΔΥ ΔΥ i=1 j=1

7. ΣΣΔΥ ΔΥ i=1 j=1

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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Answer Exercises 7 and 10. 

For Exercises 5-16, let and let P₁ = {xo, x₁,..., Xxm} be a partition of [a₁, a2], P₂ = {yo, 1,..., yn} be a partition of [b₁,b₂], P3 = {20, 2₁,...,Zq} be a partition of [c₁, c₂], Axi = X₁ X₁-1, AyjYjYj-1, Azk=ZkZk-1.
Transcribed Image Text:For Exercises 5-16, let and let P₁ = {xo, x₁,..., Xxm} be a partition of [a₁, a2], P₂ = {yo, 1,..., yn} be a partition of [b₁,b₂], P3 = {20, 2₁,...,Zq} be a partition of [c₁, c₂], Axi = X₁ X₁-1, AyjYjYj-1, Azk=ZkZk-1.
Exercises 5–16. Evaluate the sum. Τ 5. Σ. Δ.Χ. i=1 m n 7. ΣΣΔ. ΔΥ;· i=1 j=l m 9. Σ(x + xi-1)Δ.x. i=l m 11. ΣΣ@x + xi-1)^x Δy;. i=1 j=1 n 6. ΣΔy;· j=1 n n 10. Σ {0} + yy-1 +y-1)^y;. Wh 12. ΣΣω; + y;-1)Δx; Δy;. i=1 j=1 8. ΣΣΔΥ, ΔΕΚ. j=1 k=1
Transcribed Image Text:Exercises 5–16. Evaluate the sum. Τ 5. Σ. Δ.Χ. i=1 m n 7. ΣΣΔ. ΔΥ;· i=1 j=l m 9. Σ(x + xi-1)Δ.x. i=l m 11. ΣΣ@x + xi-1)^x Δy;. i=1 j=1 n 6. ΣΔy;· j=1 n n 10. Σ {0} + yy-1 +y-1)^y;. Wh 12. ΣΣω; + y;-1)Δx; Δy;. i=1 j=1 8. ΣΣΔΥ, ΔΕΚ. j=1 k=1
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