Question 5
Question 7
Question 10
An inverted right circular cone of semi-vertical angle 
is collecting water from a tap at a steady rate of 
. Find the rate at which the depth 
of the water is rising when 
cm.
is collecting water from a tap at a steady rate of . Find the rate at which the depth of the water is rising when cm.
A ladder 5 m long is leaning against a vertical wall. The bottom of the ladder is pulled along the ground away from the wall at a constant rate of 0.4 m 
. How fast will the top of the ladder be falling at the instant when its bottom is 3 m away from the wall?
. How fast will the top of the ladder be falling at the instant when its bottom is 3 m away from the wall?
Two variables 
and 
are connected by the relation 
where 
is a constant.
Given that 
and decreases at the rate of 2 cm , find the rate of change of when 
.
and are connected by the relation where is a constant.
Given that and decreases at the rate of 2 cm , find the rate of change of when .
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