Find x in the given figure.
1 answer:
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The cylinder is symmetric across the plane 
, so we need only consider half of the cut-out region.
This region can be parameterized by
with
and 
. Then the area of this half is given by the surface integral
Doubling this gives a total area of 72.
This region can be parameterized by
with
Doubling this gives a total area of 72.
To solve, use the distance formula: 
. Using your values of x and y, you get 
, which is approximately 9.22. This means your shortest distance is √85≈9.22