Water is flowing into a tub for washing clothes. The table shows the rate at which the water flows, in gallons per minute. The tub initially had five gallons of water in it before the faucet was turned on. t, in minutes 0 0.5 1 1.5 2 2.5 3 3.5 Flow rate, in 0.5 1 1.2 1.4 1.7 2 gal/min 2.1 3 Use the information in this problem to determine the amount of water in the tub after the first 3 minutes have passed. a) Calculate the amount of water in the tub using left approximating rectangles. b) Calculate the amount of water in the tub using right approximating rectangles. c) Use the two answers above to determine the most accurate answer you can.
Water is flowing into a tub for washing clothes. The table shows the rate at which the water flows, in gallons per minute. The tub initially had five gallons of water in it before the faucet was turned on. t, in minutes 0 0.5 1 1.5 2 2.5 3 3.5 Flow rate, in 0.5 1 1.2 1.4 1.7 2 gal/min 2.1 3 Use the information in this problem to determine the amount of water in the tub after the first 3 minutes have passed. a) Calculate the amount of water in the tub using left approximating rectangles. b) Calculate the amount of water in the tub using right approximating rectangles. c) Use the two answers above to determine the most accurate answer you can.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Water is flowing into a tub for washing clothes. The table shows the rate at which the water flows, in
gallons per minute. The tub initially had five gallons of water in it before the faucet was turned on.
t, in
minutes
0 0.5 1 1.5 2
2.5 3 3.5
Flow
rate, in 0.5 1 1.2 1.4 1.7 2
gal/min
2.1 3
Use the information in this problem to determine the amount of water in the tub after the first 3 minutes
have passed.
a) Calculate the amount of water in the tub using left approximating rectangles.
b) Calculate the amount of water in the tub using right approximating rectangles.
c) Use the two answers above to determine the most accurate answer you can.
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