A rectangular tank measuring 1 mx 2 m × 3m initially contains w is being pumped into the tank at a rate of 40 L/min while simult of 20 L/min. (Hint: 1m³ = 1000L.) (a) How many minutes will it take to fill the tank? (b) What is the rate of change of the height of the water in the

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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Chapter1: Functions And Models
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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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12. A rectangular tank measuring 1 m × 2 m × 3 m initially contains water up to a height of 1 m. Water
is being pumped into the tank at a rate of 40 L/min while simultaneously being drained at a rate
of 20 L/min. (Hint: 1m³ = 1000L.)
(a) How many minutes will it take to fill the tank?
(b) What is the rate of change of the height of the water in the tank in m/min?
Transcribed Image Text:12. A rectangular tank measuring 1 m × 2 m × 3 m initially contains water up to a height of 1 m. Water is being pumped into the tank at a rate of 40 L/min while simultaneously being drained at a rate of 20 L/min. (Hint: 1m³ = 1000L.) (a) How many minutes will it take to fill the tank? (b) What is the rate of change of the height of the water in the tank in m/min?
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