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A tank has 20 gallons of water in it at time t = 0 hours. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function P(t) = –10(0.88) + 17, where P(t) is measured in gallons per hour. Water is being pumped into a tank at a rate modeled by the function N(t) = 17(0.62)', where N(t) is measured in gallons per hour. What is the maximum amount of water in the tank fromt = 0 to 0 to t= 5? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.

A tank has 20 gallons of water in it at time t = 0 hours. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function P(t) = –10(0.88) + 17, where P(t) is measured in gallons per hour. Water is being pumped into a tank at a rate modeled by the function N(t) = 17(0.62)', where N(t) is measured in gallons per hour. What is the maximum amount of water in the tank fromt = 0 to 0 to t= 5? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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A tank has 20 gallons of water in it at time t = 0 hours. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function P(t) = –10(0.88) + 17, where P(t) is measured in gallons per hour. Water is being pumped into a tank at a rate modeled by the function N(t) = 17(0.62)', where N(t) is measured in gallons per hour. What is the maximum amount of water in the tank fromt = 0 to 0 to t= 5? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.
Transcribed Image Text:A tank has 20 gallons of water in it at time t = 0 hours. Water begins to be pumped into the tank at time t = 0. A different pipe is draining water from the tank starting at t = 0. Water is being removed from the tank at a rate modeled by the function P(t) = –10(0.88) + 17, where P(t) is measured in gallons per hour. Water is being pumped into a tank at a rate modeled by the function N(t) = 17(0.62)', where N(t) is measured in gallons per hour. What is the maximum amount of water in the tank fromt = 0 to 0 to t= 5? You may use a calculator and round to the nearest thousandth. Use proper units and show how you got your answer.
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