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A town is using water from a reservoir that is being refilled with a system of aqueducts. The graph below shows the total water drawn from the reservoir over the course of a typical day, starting at midnight. total water usage (gallons) 5000- 4500- 4000 3500- 3000 2500 2000 1500 . 500 T 1000- 0+ + 0 1 2 3 4 5 6 + + 8 9 ++ + + + + ¯¯ + 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 hours after midnight

A town is using water from a reservoir that is being refilled with a system of aqueducts. The graph below shows the total water drawn from the reservoir over the course of a typical day, starting at midnight. total water usage (gallons) 5000- 4500- 4000 3500- 3000 2500 2000 1500 . 500 T 1000- 0+ + 0 1 2 3 4 5 6 + + 8 9 ++ + + + + ¯¯ + 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 hours after midnight

Calculus: Early Transcendentals
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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d.) Again, if the reservoir is empty at midnight and water flows in at a constant rate of 100 gallons per hour, then there will not be enough water available to serve the town during this 24-hour period. When does the water shortage begin? at t= hours after midnight e.) Again, if water flows in at a constant rate of 100 gallons per hour, what is the smallest amount of water needed in the reservoir at midnight so that the town gets all the water it needs during this 24- hour period? (HINT: How could you change the Inflow graph so that there is never a shortage?) gallons
Transcribed Image Text:d.) Again, if the reservoir is empty at midnight and water flows in at a constant rate of 100 gallons per hour, then there will not be enough water available to serve the town during this 24-hour period. When does the water shortage begin? at t= hours after midnight e.) Again, if water flows in at a constant rate of 100 gallons per hour, what is the smallest amount of water needed in the reservoir at midnight so that the town gets all the water it needs during this 24- hour period? (HINT: How could you change the Inflow graph so that there is never a shortage?) gallons
A town is using water from a reservoir that is being refilled with a system of aqueducts. The graph below shows the total water drawn from the reservoir over the course of a typical day, starting at midnight. total water usage (gallons) 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 j tij. + || 0+ to + THHHHH †‡· ↓↓ ++ |▬▬▬ ▬▬▬▬▬ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 hours after midnight
Transcribed Image Text:A town is using water from a reservoir that is being refilled with a system of aqueducts. The graph below shows the total water drawn from the reservoir over the course of a typical day, starting at midnight. total water usage (gallons) 5000 4500 4000 3500 3000 2500 2000 1500 1000 500 j tij. + || 0+ to + THHHHH †‡· ↓↓ ++ |▬▬▬ ▬▬▬▬▬ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 hours after midnight
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