Torricelli’s Theorem states that if there is a hole in a container of liquid h feet below the
surface of the liquid, then the liquid will flow out at a rate given by R (h)=√(2gh) where g = 32ft sec^2 . Find a linear function that can be used to approximate this rate for holes that are
close to 25 feet below the surface of the water.

Question

Torricelli’s Theorem states that if there is a hole in a container of liquid h feet below the 
surface of the liquid, then the liquid will flow out at a rate given by  R (h)=√(2gh) where g = 32ft sec^2 . Find a linear function that can be used to approximate this rate for holes that are 
close to 25 feet below the surface of the water.

anonymous · Answer

find the derivative of R(h)
evaluate at h=25   -> R ' (25)

use in :  Linearization = ( R ' (25) )* (h -25)  + R(25)

anonymous · Answer

ok

anonymous · Answer

sorry, error there...  fixt it.