7. ΣΣΔΥ ΔΥ i=1 j=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
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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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