leo-allen_60bb864052dbf
leo-allen_60bb864052dbf
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x^2+z^2=1 and y=y is a cylinder , so the curve is x^2+z^2 =1 y= x^2 -z^2 At plane XZ ( Region) take cylindrical coordinates x= RcosT z=RsinT R=1 ( Radius of the circle at XZ plane) y= R^2(cos^2 T - sin^2T) , ie , y= R^2 cos…