Question
Asked Nov 2, 2019
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2. Compute ¡ E x dV , where E “ tpx, y, zq | x ď 0, z ď 0, x2 ` y 2 ` z 2 ď 9u

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Expert Answer

Step 1

The given integral,

where E {(x,y,z)| x< 0,2 < 0,x +y + z<9}
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where E {(x,y,z)| x< 0,2 < 0,x +y + z<9}

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Step 2

Since, dV=dxdydz

And the limit of the integral find in the following,

x 9-y-
to O
y = -9-z2 to 19-z
z =-3 to 0
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x 9-y- to O y = -9-z2 to 19-z z =-3 to 0

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Step 3

Substitute these limits in ...

0
xdrdydz
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0 xdrdydz

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