Question
A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 2.6 ft/s.
(a) How rapidly is the area enclosed by the ripple increasing when the radius is 4 feet?
The area is increasing at
(a) How rapidly is the area enclosed by the ripple increasing when the radius is 4 feet?
The area is increasing at
Answers
area = π r^2
d(area)/dt = 2π r dr/dt
given: dr/dt = 2.6 , r = 4
d(area)/dt = .....
just plug in your values.
Mind the units
d(area)/dt = 2π r dr/dt
given: dr/dt = 2.6 , r = 4
d(area)/dt = .....
just plug in your values.
Mind the units
Thank you
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