Let D be the region that consists of points (x, y) such that 1≤x≤3 and 2 ≤ y ≤ 6. Suppose the average value of a continuous function f over the region D is k. Then, we must have O k [[ 15/ f(x,y) dA= 8 D f(x,y) dA= 8k D fff(x,y) dA= k 1(x, y) 4A-8 D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let D be the region that consists of points (x, y) such that
1<x<3 and 2 ≤ y ≤ 6.
Suppose the average value of a continuous function f over the region D
is k.
Then, we must have
O
k
[[
f(x,y) dA:
8
D
f(x,y) dA= 8k
ff f(x, y) dA= k
D
f(x,y) dA= 8
O
O
D
Transcribed Image Text:Let D be the region that consists of points (x, y) such that 1<x<3 and 2 ≤ y ≤ 6. Suppose the average value of a continuous function f over the region D is k. Then, we must have O k [[ f(x,y) dA: 8 D f(x,y) dA= 8k ff f(x, y) dA= k D f(x,y) dA= 8 O O D
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