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Math Help - Find the area of the surface ...

  1. #1
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    Find the area of the surface ...

    Find the area of the surface z = 2/3(x^(3/2) + y^(3/2))
    0 <= x <=1 , 0 <= y <=1
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  2. #2
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    What is your plan? Can you relate the task to the arc length in 2D?
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  3. #3
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    Well i know dz/dx = x^1/2 and dz/dy = y^1/2.

    Then putting it into the formula sqrt(1 + (dz/dx)^2 + (dz/dy)^2) dA
    would be double integral of sqrt(1 + x + y) dA

    Then I think it would be double integrals both from 0 to 1 sqrt(1 + cos(theta) + sin(theta)) r dr dtheta

    Is this correct so far? I think I did something wrong since that gets really hard to integrate.
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