17. A function f(x, y) continuous in a region of the plane D will be called a density function of probability if f(x, y) ≥ 0 for all (x, y) E D and ₁ f(x,y) dA= 1. f(x,y)= a 1+z²+ Find the value of a so that the function be a density function of probability on the disk 0 ≤ r ≤1000.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。
ありがとう
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DON'T USE CHATGPT
17. A function f(x, y) continuous in a region of the plane D will be called a density function
of probability if f(x, y) ≧ 0 for all (x, y) EDand
Jpf(x,y)=1.
f(x,y)=
a
1+x² + y²
Find the value of a so that the function
be a density function of probability on the disk 0 ≤r ≤1000.
Transcribed Image Text:人工知能を使用せず、 すべてを段階的にデジタル形式で解決してください。 ありがとう SOLVE STEP BY STEP IN DIGITAL FORMAT DON'T USE CHATGPT 17. A function f(x, y) continuous in a region of the plane D will be called a density function of probability if f(x, y) ≧ 0 for all (x, y) EDand Jpf(x,y)=1. f(x,y)= a 1+x² + y² Find the value of a so that the function be a density function of probability on the disk 0 ≤r ≤1000.
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