Question 1 Let f be the function defined below on the given region R, and let P be the partition P = P₁ × P₂. Find L ƒ(P). f (x, y) = x+6y R: 0≤x≤ 2, 0≤ y ≤1 P₁ = [0,1,1,2], P₁ = [0,₁1,1] a) OLƒ(P) = 4 b) ○Lƒ(P) = 111 c) ○L f (P) = d) ○L f (P) = 17 4 e) OL f (P) = 21 4 47 4 f) None of these.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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Question 1
Let f be the function defined below on the given region R, and let P be the partition P = P₁ × P₂. Find L ƒ(P).
f (x, y) = x+6y
R: 0≤x≤ 2, 0≤ y ≤1
P₁ = [0,1,1,2], P₁ = [0,₁1,1]
a) OLƒ(P) = 4
b) ○Lƒ(P) = 111
c) ○L f (P) =
d) ○L f (P) =
17
4
e) OL f (P) =
21
4
47
4
f) None of these.
Transcribed Image Text:Question 1 Let f be the function defined below on the given region R, and let P be the partition P = P₁ × P₂. Find L ƒ(P). f (x, y) = x+6y R: 0≤x≤ 2, 0≤ y ≤1 P₁ = [0,1,1,2], P₁ = [0,₁1,1] a) OLƒ(P) = 4 b) ○Lƒ(P) = 111 c) ○L f (P) = d) ○L f (P) = 17 4 e) OL f (P) = 21 4 47 4 f) None of these.
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