Using a Surface Integral for Mathematical Analysis of the Area of an Island

  • #1

Homework Statement:

(Attached below)

Relevant Equations:

A=sqrt[1+(dz/dx)^2+(dz/dy)^2]dA
1593786915216.png

I am not clearly understand what the question requests for, is it okay to continue doing like this ? Kindly advise, thanks
 
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Answers and Replies

  • #3
LCKurtz
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The shape of the island is an upside-down paraboloid. The integral looks like everything is OK except the ##r## limits should be reversed. You want to integrate from the smallest to largest values of ##r## to get a positive answer.
 
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  • #4
scottdave
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The shape of the island is an upside-down paraboloid. The integral looks like everything is OK except the ##r## limits should be reversed. You want to integrate from the smallest to largest values of ##r## to get a positive answer.
I believe you're right. I looked at it wrong.
 

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