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<title>
12.6 - Surface area
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[12.6] - Surface Area
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<li>Set up and compute the surface area of the part of the surface $z=x^2-y^2$ which is inside the cylinder $x^2+y^2=9$.



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Compute the surface area of the part of the surface $z=y^2$ about the triangle with vertices $(0,1,0)$, $(1,0,0)$, and $(1,1,0)$.

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Compute the surface area of the part of the plane
$\frac xa+\frac yb +\frac zc=1$ 
(where $a\gt 0$, $b\gt 0$, and $c\gt 0$) 
in the first octant ($x\gt 0$, $y\geq 0$, and $z\geq 0$). <i>Hint</i>: Start by determining where the plane intersects the $x$, $y$ and $z$ axes.
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