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Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide. Beginning at time t = 0 cigarette smoke, containing 4 % carbon monoxide, is introduced into the room at a rate of 0.1 cubic ft/min, and the well-circulated mixture is allowed to leave the room at the same rate. (a) Find an expression for the concentration y(t) of carbon monoxide in the room at any time t. y(t) = Hint: Since concentration = amount/volume it may be easier to first find the function that describes the amo amount of carbon monoxide. If that function is Q(t), then y(t) = Q(t)'volume. (b) Extended exposure to a carbon monoxide concentration as low as 0.00012 is harmful to the human body. Find the time t at which this concentration is reached.

Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide. Beginning at time t = 0 cigarette smoke, containing 4 % carbon monoxide, is introduced into the room at a rate of 0.1 cubic ft/min, and the well-circulated mixture is allowed to leave the room at the same rate. (a) Find an expression for the concentration y(t) of carbon monoxide in the room at any time t. y(t) = Hint: Since concentration = amount/volume it may be easier to first find the function that describes the amo amount of carbon monoxide. If that function is Q(t), then y(t) = Q(t)'volume. (b) Extended exposure to a carbon monoxide concentration as low as 0.00012 is harmful to the human body. Find the time t at which this concentration is reached.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide. Beginning at time t = 0 cigarette smoke, containing 4 % carbon monoxide, is introduced into the room at a rate of 0.1 cubic ft'min, and the well-circulated mixture is allowed to leave the room at the same rate. (a) Find an expression for the concentration y(t) of carbon monoxide in the room at any time t. y(t) = Hint: Since concentration = amount'volume it may be easier to first find the function that describes the amount of carbon monoxide. If that function is Q(t), then y(t) = Q(t)/volume. (b) Extended exposure to a carbon monoxide concentration as low as 0.00012 is harmful to the human body. Find the time t at which this concentration is reached. t =
Transcribed Image Text:Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide. Beginning at time t = 0 cigarette smoke, containing 4 % carbon monoxide, is introduced into the room at a rate of 0.1 cubic ft'min, and the well-circulated mixture is allowed to leave the room at the same rate. (a) Find an expression for the concentration y(t) of carbon monoxide in the room at any time t. y(t) = Hint: Since concentration = amount'volume it may be easier to first find the function that describes the amount of carbon monoxide. If that function is Q(t), then y(t) = Q(t)/volume. (b) Extended exposure to a carbon monoxide concentration as low as 0.00012 is harmful to the human body. Find the time t at which this concentration is reached. t =
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