I've posted on this before and have now realised I was doing it completely wrong before but's still bugging me. I have to find the area of the hyperbolic paraboloid z=xy contained within the cylinder x[tex]^{2}[/tex]+y[tex]^{2}[/tex]=1.(adsbygoogle = window.adsbygoogle || []).push({});

I've parametrized x[tex]^{2}[/tex]+y[tex]^{2}[/tex]=1 into polar coordinates to give that dA=d[tex]\theta[/tex]dz

I also know that 0[tex]\leq[/tex][tex]\theta[/tex][tex]\leq[/tex]2[tex]\pi[/tex]

But I'm still having trouble finding the z limits for that part of the integration. Any help would be great. Thanks.

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# Area of a hyperbolic paraboloid contained within a cylinder

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