The function is .
(a).
\Find the maximum point of the function.
\Graph of the function :
Observe the graph:
\The maximum point of the function is approximately .
After hours the concentration of the medicine is highest.
(b).
\The concentration is below .
Substitute in
.
.
Solve the above equation graphically.
\Graph : \ \
\Graph the function .
Draw a horizontal line at .
Observe and label the points.
\Observe the graph:
\The horizontal line intersects the curve at and
.
After taking medication, she will have to wait at least hours before feeding her child.
(a). hours.
(b). hours.