A calculus problem by mika servi
Calculus
Level
1
True or False?
Lala goes on a 5-hour hike in the mountains. There is a maximum altitude in the set of altitudes reached by Lala during the hike (include the start and end of the hike).
False
True
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Because her altitude, f(t), must obviously be a continuous function, and the time domain [0,5] is closed and bounded, by the extreme value theorem, there must be a global maximum.