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Find the area of the region cut from the plane \( 2 x+y+2 z=6 \) by the cylinder whose walls are \ ...
Find the area of the region cut from the plane \( 2 x+y+2 z=6 \) by the cylinder whose walls are \( x=y^{2} \) and \( \mathrm{x}=18-\mathrm{y}^{2} \) The area of the surface is (Simplify your answer. Type an exact answer.)