Volume bounded by four surfaces. Need the solution as a guide.

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gikiian
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Homework Statement


Find the volume bounded by the following surfaces:
z = 2([tex]x^{2}[/tex]+[tex]y^{2}[/tex])
z = 18
y = [tex]\frac{1}{\sqrt{x}}[/tex]
y = -[tex]\frac{1}{\sqrt{x}}[/tex]

x[tex]\geq[/tex]0


The Attempt at a Solution


I have no Idea how to attempt it! I mean, I will, somehow. But want to know a straight-forward way. Would you use the Cartesian or the polar co-ordinates?

Thanks.
 
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I would begin by drawing a picture, perhaps several if you struggle thinking in 3D, and then try to work out what limits you're going to use in each direction.