Mr. Moore is pushing the bottom
end of a meter stick horizontally
away from the wall at 0.25m/sec.
How fast is the upper end of the
stick falling down vertically when
the bottom of the ruler is 0.7m
away from the wall?
Steps:
1) If possible – draw a picture and
label with appropriate variables
2) Identify what the question is asking
for
3) Identify what information is given
4) Relate the variables w/ an equation
5) Differentiate implicitly w.r.t. time
(chain rule)
6) Answer the question
Air is being pumped into a spherical
balloon so that its volume increases
at a rate of 100cm3/sec. How fast is
the radius of the balloon increasing
when the diameter is 50cm?
4
3
Vsphere    r
3
A water tank has the shape of an
inverted circular cone with base
radius 2m and height 4m. If water is
being pumped into the tank at a
rate of 2m3/min, find the rate at
which the water level is rising when
the water is 3m deep?
Car A is traveling west at 50mi/hr
and car B is traveling north at
60mi/hr. Both are headed for the
intersection of the two roads. At
what rate are the cars approaching
each other when car A is 0.3 miles
and car B is 0.4 miles from the
intersection?