Question
A stone is dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2 meters per second. How rapidly is the area enclosed by the ripple increasing at the end of 20 seconds?
Answers
hint
dA = 2 pi r dr so dA/dr = 2 pi r
and
dA/dt = dA/dr * dr/dt
dA = 2 pi r dr so dA/dr = 2 pi r
and
dA/dt = dA/dr * dr/dt
Related Questions
A stone dropped into water produces a circular ripple which increases in radius at a rate of 1.50 m/...
A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant...
a ship drops its anchor into the water and creates a circular ripple. the radius of this ripple incr...
A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...