If a tank holds 2000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the volume V of water remaining in the tank t after t minutes as V = 2000(1- 40 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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If a tank holds 2000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the volume V of water remaining in the tank
2
t
2000( 1 -
40
after t minutes as V
0<t< 40.
Find the rate at which the water is draining out of the tank after:
(а) 5 min
(b) 20 min
(c) 40 min
(a)
gal/min
(b)
gal/min
(c)
gal/min
Transcribed Image Text:If a tank holds 2000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the volume V of water remaining in the tank 2 t 2000( 1 - 40 after t minutes as V 0<t< 40. Find the rate at which the water is draining out of the tank after: (а) 5 min (b) 20 min (c) 40 min (a) gal/min (b) gal/min (c) gal/min
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