Suppose that f(r, y) = /2- -y at which {(z, y) | z +y? < 2 }. %3D 7=2 Then the double integral of f(x, y) over D is /| f(x, y)dædy = %3D

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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Suppose that f(r, y) = /22 – 2 – y at which {(x, y) | z' + y' < 2°}.
V
tャ=2
Then the double integral of f(x, y) over D is
/| f(x, y)dædy:
Transcribed Image Text:Suppose that f(r, y) = /22 – 2 – y at which {(x, y) | z' + y' < 2°}. V tャ=2 Then the double integral of f(x, y) over D is /| f(x, y)dædy:
Expert Solution
Step 1

Given that fx,y=22-x2-y2 and D is x,y:x2+y222

The objective is to find Dfx,ydxdy.

Here, x2+y222 represents a circle of radius 2 and centered at 0,0

Then Dfx,ydxdy=D22-x2-y2dxdy

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