how fast is the height of the lump of clay changing when the radius is 7.5 inches, given
the radius is shrinking by 1.2 inches per minute?
The celebrated actress,
D.R. Amaqueen, is exactly 6 feet tall.
Tonight she delivers a
stirring soliloquy on stage.
For dramatic effect she is illuminated only by a single
footlight, which is at the same level as the floor of the stage.
24 feet behind the footlight
is the vertical backdrop of the stage.
As Amaqueen nears the climax of her soliloquy, she
begins walking towards the audience (and toward the footlight) at 2 feet per second.
When she is 8 feet from the footlight, at what rate is her shadow on the backdrop
increasing in height?
Make a diagram, and use similar triangles to start!)
Refer back to the very first problem we did involving a taxicab.
This time, give the
westbound cab a quarter mile head start.
Keep everything else the same.
northbound cab has gone ½ a mile from its starting position, how fast is the distance
between the two cabs increasing?
A solution drains through a filter-funnel at a rate of 10cc/minute.
From the center point
of its mouth to its apex, the funnel is 10 cm.
At its mouth it is 12cm in diameter.
fast is the solution-level dropping when there are 200 cc left in the funnel?
the funnel is a right circular cone).
For reference, the volume of a cone is given by V =