Question: Please tell me how to solve below problem (b) and (c) Suppose that a room containing 2000 cubic feet of air is originally free of

Please tell me how to solve below problem (b) and (c)

Suppose that a room containing 2000 cubic feet of air is originally free of carbon monoxide [CO]. Beginning at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.4 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let A(t) represent the amount of CO in the room {in cubic feet} after 15 minutes. [A] Write the DE model for the time rate of change of C0 in the room. Also state the initial condition. (M 0.4 A(0) 2" 0 l o' {B} Solve the IVP to find the amount of CO in the room at any time t > 0. A(t) = l l [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 2 minutes

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