An
L =
23 foot ladder is leaning against a house as shown in the figure below.
If the base of the ladder is pulled away from the house at a rate of
v =
5 feet per second, the top will move down the wall at a rate given by the equation below, where
x is the distance between the base of the ladder and the house.
(a) Find the rate
r when
x is
6 feet. (Round to two decimal places.)
ft/sec
(b) Find the rate
r when
x is
12 feet.
ft/sec
(c) Find the limit of
r as
x
L−. (If you need to enter
∞ or -
∞, type INFINITY or -INFINITY.)