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Hello friends! I'm doing my homework but I'm having problems with two exercises :c help

 

1. solve

\(\iint_R \frac{1}{4-3x^2-y^2} \,dx\,dy, where\ R=\{(x,y)|3x^2+y^2\leq 1\}\)

 

 

2. Determine the center of mass of the homogeneous bodies limited by the indicated surface:

\(2z=x^2+y^2,x^2+y^2+z^2=3,z \geq 0\)

 

 

thanks a lot

 Nov 26, 2019
 #1
avatar+105989 
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I am sorry darkes65 but I have absolutely no idea.

 

Maybe my comment will draw attention to your question though.   

 Dec 2, 2019
 #2
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Here's my solution to 1.

 

I hope that's right!

 Dec 2, 2019
 #3
avatar+105989 
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Thanks Alan, impressive as always :)

Melody  Dec 2, 2019

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