Bathtub Problem: You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. Sixty seconds after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with the time since the plug was pulled.Write the equation expressing the number of gallons (g) left in the tub in terms of the number of seconds (s) since you pulled the plug.How many gallons would be left after 20 seconds? 50 secondsAt what time will there be 7 gallons left in the tub?

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Answered: Bathtub Problem: You pull out the plug…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Bathtub Problem: You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. Sixty seconds after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with the time since the plug was pulled.
Write the equation expressing the number of gallons (g) left in the tub in terms of the number of seconds (s) since you pulled the plug.
How many gallons would be left after 20 seconds? 50 seconds
At what time will there be 7 gallons left in the tub?

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