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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

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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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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