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Math Help - Need Help Urgently...

  1. #1
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    Unhappy Need Help Urgently...

    Q1 - Evaluate the iterated integral by converting to polar coordinates
    ∫0 to 2 ∫-Sqrt 4-x^2 to Sqrt 4-x^2 e^(-x^2-y^2) dy dx

    The region of integration is bounded by
    -Sqrt 4-x^2 ≤ y ≤ Sqrt 4-x^2 and 0 ≤ x ≤ 2



    Q2 - Evaluate the triple integral ∫∫R∫ OR ∫∫∫R f(x,y,z)dV
    With f(x,y,z)=Sqrt y -3z^2

    Q = {(x,y,z)/2 ≤ x ≤ 3, 0≤ y ≤1, -1≤ z ≤1 }
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  2. #2
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    Q1) By moving to polar coordinates you end up with \iint_D e^{-r^2}\cdot r\cdot drd\varphi where D=\left\{0\leq r \leq 2,\ -\frac{\pi}{2}\leq \varphi \leq \frac{\pi}{2}\right\}

    The second question looks a bit strange (the limits for x).
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