Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at timet 0,

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Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at timet 0,

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Suppose That A Room Containing 1300 Cubic Feet Of Air Is Originally Free Of Carbon Monoxide Co Beginning At Timet 0 1
Suppose That A Room Containing 1300 Cubic Feet Of Air Is Originally Free Of Carbon Monoxide Co Beginning At Timet 0 1 (450.23 KiB) Viewed 33 times
Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at timet 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.5 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let Aſt) represent the amount of CO in the room (in cubic feet) after t minutes. (A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition. dA .5A 1.02 dt 1300 A(0) = 0 مها (B) Solve the IVP to find the amount of CO in the room at any time t > 0. A(t) = 6500 521 x e (C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time at which this concentration is reached. t = 13 x minutes
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