If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following.   Find the rate at which water is draining from the tank after the following amount of time.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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If a tank holds 4000 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as the following.

 

Find the rate at which water is draining from the tank after the following amount of time.

 

The rate at which the volume V(t) changes is given by V'(t). For

V(t) = 4000(1 − 
1
50
t)2,

we have

V'(t) = (1 − 
1
50
t).
t
V = 4000 (1
50
0<t< 50
2.
Transcribed Image Text:t V = 4000 (1 50 0<t< 50 2.
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