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It takes a total of 12 hours to drain a tank by opening a valve at the bottom. The depth h (in meters) of fluid in the tank t hours after the valve is opened is given by the formula 2 h(t) = 6 (1 – ) dh (a) What are the units of the rate dt dh (b) Find the rate and explain if this rate matches with what is taking place (in the problem) and dt why. dh and the function h(t) on the same window dt dh . Include a print out of the graphs dt (c) Use Desmos (or any other tool) to graph the rate and discuss the behavior of h(t) in relation to the rate from Desmos or whatever tool vou used

It takes a total of 12 hours to drain a tank by opening a valve at the bottom. The depth h (in meters) of fluid in the tank t hours after the valve is opened is given by the formula 2 h(t) = 6 (1 – ) dh (a) What are the units of the rate dt dh (b) Find the rate and explain if this rate matches with what is taking place (in the problem) and dt why. dh and the function h(t) on the same window dt dh . Include a print out of the graphs dt (c) Use Desmos (or any other tool) to graph the rate and discuss the behavior of h(t) in relation to the rate from Desmos or whatever tool vou used

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.3: Solving Linear Equations
Problem 1E
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It takes a total of 12 hours to drain a tank by opening a valve at the bottom. The depth h (in meters) of fluid in the tank t hours after the valve is opened is given by the formula A() = (1 - ). t (a) What are the units of the rate dt (b) Find the rate dh and explain if this rate matches with what is taking place (in the problem) and dt why. dh and the function h(t) on the same window dt dh Include a print out of the graphs dt (c) Use Desmos (or any other tool) to graph the rate and discuss the behavior of h(t) in relation to the rate from Desmos or whatever tool you used.
Transcribed Image Text:It takes a total of 12 hours to drain a tank by opening a valve at the bottom. The depth h (in meters) of fluid in the tank t hours after the valve is opened is given by the formula A() = (1 - ). t (a) What are the units of the rate dt (b) Find the rate dh and explain if this rate matches with what is taking place (in the problem) and dt why. dh and the function h(t) on the same window dt dh Include a print out of the graphs dt (c) Use Desmos (or any other tool) to graph the rate and discuss the behavior of h(t) in relation to the rate from Desmos or whatever tool you used.
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