Let SC R² be a compact Jordan measurable set and f: S→ [0, ∞) be continuous. Consider the set A = {(x, y, z) = R³ : (x, y) = S, 0 ≤ z ≤ f(x, y)} Which one of the following inequalities is TRUE? O vol (4) max f(x, y) (x,y)=S vol (A) ≤ vol (S) vol (A) ≤ max f(x, y). vol (S) (x,y)=S None of the above inequalities are generally true.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let SC R² be a compact Jordan measurable set and f: S→ [0, ∞) be continuous. Consider the set
A = {(x, y, z) = R³ : (x, y) = S, 0 ≤ z ≤ f(x, y)}
Which one of the following inequalities is TRUE?
O vol (4)
max f(x, y)
(x,y)=S
vol (A) ≤ vol (S)
vol (A) ≤ max f(x, y). vol (S)
(x,y) S
None of the above inequalities are generally true.
Transcribed Image Text:Let SC R² be a compact Jordan measurable set and f: S→ [0, ∞) be continuous. Consider the set A = {(x, y, z) = R³ : (x, y) = S, 0 ≤ z ≤ f(x, y)} Which one of the following inequalities is TRUE? O vol (4) max f(x, y) (x,y)=S vol (A) ≤ vol (S) vol (A) ≤ max f(x, y). vol (S) (x,y) S None of the above inequalities are generally true.
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