Calculate the volume under the elliptic paraboloid z = 2x^2 + 4y^2 and over the rectangle R = [−3, 3] ×[−1, 1].
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Question

anonymous · Answer

Did you try doing a double integral with your limits being the intersections of the parabaloid and the rectangle?

anonymous · Answer

no how do u do that ?!

anonymous · Answer

Well I'm not too familiar with parabaloids, but I know that if you simply find the region bounded by your rectangle and your parabaloid, and take the double integral with respect to the correct variables, then you should be able to find your volulme. Are you familiar with couble integrals?

anonymous · Answer

yeah kinda !

anonymous · Answer

ok, as long as you set it up correctly, I know that wolfram has a double integral calculator