66 Part I: The Questions
Finding Maxima and Minima
from Graphs
446– 450 Use the graph to find the absolute
maximum, absolute minimum, local maxima, and
local minima, if any. Note that endpoints will not be
considered local maxima or local minima.
446.
447.
443. An experimental jet is flying with a constant speed of 700 kilometers per hour. It
passes over a radar station at an altitude
of 2 kilometers and climbs at an angle of
45°. At what rate is the distance from
the plane to the radar station increasing
2 minutes later? Round your answer to
the hundredths place.
444. A lighthouse is located on an island
5 kilometers away from the nearest point P
on a straight shoreline, and the light makes
6 revolutions per minute. How fast is the
beam of light moving along the shore when
it’s 2 kilometers from P?
445. Gravel is being dumped into a pile that
forms the shape of a cone whose base
diameter is twice the height. If the gravel is
being dumped at a rate of 20 cubic feet per
minute, how fast is the height of the pile
increasing when the pile is 12 feet high?