9. If D= [-1, 1] x [-1, 2], show that € W₁T² dx dy x² + y² + 1 10. Using the mean-value inequality, show that 1 ≤ 6 1≤ 6. dA 35/1/2 DY-x+3 4' where D is the triangle with vertices (0, 0), (1, 1), and (1, 0).

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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9. If D= [-1, 1] x [-1, 2], show that
€ 1₂x²²
dx dy
x² + y² + 1
10. Using the mean-value inequality, show that
1
= = =
6
1≤
dA
DY-x+3
6.
35/1/2
4
where D is the triangle with vertices (0, 0), (1, 1), and
(1, 0).
Transcribed Image Text:9. If D= [-1, 1] x [-1, 2], show that € 1₂x²² dx dy x² + y² + 1 10. Using the mean-value inequality, show that 1 = = = 6 1≤ dA DY-x+3 6. 35/1/2 4 where D is the triangle with vertices (0, 0), (1, 1), and (1, 0).
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