If a cylindrical tank holds 120,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law gives the volume V of water remaining in the tank after t minutes as ve) = 120,000(1 - osts 60. Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of V with respect to t) as a function of t. 200 (t- 60) gal/mìn 3 V'(t) = For times t= 0, 10, 20, 30, 40, 50, and 60 min, find the flow rate and the amount of water remaining in the tank. (Round your answers to one decimal place.) flow rate (gal/min) water remaining (gal) 4000 120,000 10 33333 833333 20 -2666.7 533333 2000 30000 30 40 -13333 133333 50 666.7 33333 60 Summarize your findings in a sentence or two. From the table.it is observed that the rate of Bow of water is decreasing This answer has not been graaded yet At what. timeisthe ow rate greatest? Er onkee At what time is the ow rate the least

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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If a cylindrical tank holds 120,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law qgives the volume V of water remaining in the tank after t minutes as
2
v(t) = 120,000(1- osts 60.
60
Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of V with respect to t) as a function of t.
200
V'(t) =
(t-60) gal/min
3
For times t = 0, 10, 20, 30, 40, 50, and 60 min, find the flow rate and the amount of water remaining in the tank, (Round your answers to one decimal place.)
flow rate (gal/min)
water remaining (gal)
-4000
120,000
10
-3333.3
83333.3
20
-2666.7
53333.3
30
-2000
30000
40
-1333.3
13333.3
50
-666.7
3333.3
60
10
Summarize your findings in a sentence or two.
From the table, it is observed that the rate of flow of water is decreasing
This answer has not been graded yet
At what.tim is. the fiow rate the greatest?
Enter an cd numbe
At what time is the flow rate the least?
Need Help?
P Type here to search
37 F Cloudy
Lenovo
Transcribed Image Text:If a cylindrical tank holds 120,000 gallons of water, which can be drained from the bottom of the tank in an hour, then Torricelli's Law qgives the volume V of water remaining in the tank after t minutes as 2 v(t) = 120,000(1- osts 60. 60 Find the rate at which the water is flowing out of the tank (the instantaneous rate of change of V with respect to t) as a function of t. 200 V'(t) = (t-60) gal/min 3 For times t = 0, 10, 20, 30, 40, 50, and 60 min, find the flow rate and the amount of water remaining in the tank, (Round your answers to one decimal place.) flow rate (gal/min) water remaining (gal) -4000 120,000 10 -3333.3 83333.3 20 -2666.7 53333.3 30 -2000 30000 40 -1333.3 13333.3 50 -666.7 3333.3 60 10 Summarize your findings in a sentence or two. From the table, it is observed that the rate of flow of water is decreasing This answer has not been graded yet At what.tim is. the fiow rate the greatest? Enter an cd numbe At what time is the flow rate the least? Need Help? P Type here to search 37 F Cloudy Lenovo
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