MATH 241, section 1 -- Multivariable Calculus
The "Method of Slices"
September 3, 2010
Let's consider using slices to study the shape of the surface in defined
by the equation
First, the slice in the plane -- the slice is the curve on the surface
shown in red:
Now the slice in the plane
Finally, the slice in the plane
The first and the third curve are both hyperbolas in those planes but note how
the shape changes as we go through the slice in the plane