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calculate the volume under the elliptic paraboloid z x2 4y2 and over the rectangle r 22x 33 94631
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Let the surface (S) be the part of the elliptic paraboloid z = x^2 4y^2 lying below the plane z = 1. We define the orientation of (S) by taking the unit normal vector n pointing in the positive direction of the z-axis (the inner normal vector to the surface). Further, let C denote the curve of the intersection of the paraboloid z = x^2 4y^2 and the plane z = 1, oriented counterclockwise when viewed from the positive z-axis above the plane. Let S1 denote the part of the plane z = 1 inside the
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