4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the curves y = -4+ x2 and y = 4x2. A sketch of the region is shown below, but it is up to you to determine which function is which and the points of intersection. (Make sure you show work for the points of intersection.)

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4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the
curves y = -4+ x2 and y = 4x2. A sketch of the region is shown below, but it is up to you to
determine which function is which and the points of intersection. (Make sure you show work for the
points of intersection.)
Transcribed Image Text:4) Find the volume of the solid under the surface f(x,y) = x² + y and over the region bound by the curves y = -4+ x2 and y = 4x2. A sketch of the region is shown below, but it is up to you to determine which function is which and the points of intersection. (Make sure you show work for the points of intersection.)
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