In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel. A simple example of a pair of skew lines is the pair of lines through opposite edges of a regular tetrahedron. Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions. Two lines are skew if and only if they are not coplanar. Hope this helps!! :)
Whats the diameter?
1/8(3.14) = 0.3925
Find the critical points of :
All three points lie within , and takes on values of
Now check for extrema on the boundary of . Convert to polar coordinates:
Find the critical points of :
where is any integer. There are some redundant critical points, so we'll just consider , which gives
which gives values of
So altogether, has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).