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    Multivariable calculus

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    Sketch the solid bounded by the graphs of the given equation and find its volume by triple integration: z = x^2, y + z = 4, y = 0, z = 0

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    Solution Preview

    Let's look at the interval of integrations.
    <br>In the zy-plane: the graphs produce a triangle with the following
    <br> boundaries, y -> 0 to 4
    <br> ...