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Math Help - Calc 3 multiple integrals

  1. #1
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    Calc 3 multiple integrals

    E is the solid region enclosed by 2 paraboloids 6+y^2+z^2=x and 19-y^2-z^2=x
    describe E in set notation??
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  2. #2
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    Quote Originally Posted by Jessica11 View Post
    E is the solid region enclosed by 2 paraboloids 6+y^2+z^2=x and 19-y^2-z^2=x
    describe E in set notation??
    Maybe

    E=\left\{\left.{(x,y,z)\in\mathbb{R}^3}\right|~6+y  ^2+z^2\leqslant{x}\leqslant19-y^2-z^2\right\}
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