24(a)
is defined on any interval
such that
Clearly
Then
could be any interval on which
e.g.,
or
...etc.
For
Both functions are continuous when
i.e.,
or
Then the domain of continuity of both functions is
21.
Since
belongs to the domain of continuity , then Theorem 1.1 guarantees the existence
of a unique solution.
22.
Since
is not in the domain of continuity, Theorem 1.1 does not guarantee the
existence or the uniqueness of a solution.