math251 quiz1 solution

math251 quiz1 solution - \.yL*) \,\ Lq = rb\ y'(t)=#yS) +...

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S.LAl,eh Instructor: Vitaliv Gyrya Date: .lanuarv 30. 2009 All work must be shown to receive full credit! L. A 1000m3 room initially contains fresh air. At l:0, a faulty heating sysrem causes gas containing 10% carbon monoxide to be pumped into the room at a rate of 10m3 per minute. A well-mixed air is vented out at the same rate. (a/ Write a differcntial eqrtation, and givc the initial condition, that dc- scribe this event. R'(t\ = ci,^-con*t =o C\r.n :. \O * :fo*;\ ll " Att) = Ao = \ooo w,3 Mtr\ -.#a Ci.n=.\ ) Lo,.t: Tgj . .l /. \ t'\(s) Yl'$)= \ - ,it (b/ Solve the initial value problem. \*\*gati.,g
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Unformatted text preview: \.yL*) \,\ Lq = rb\ y'(t)=#yS) + f$)=d'+ Name: G*. t;\ia-L co,oulto"^s lt'\ {.") -- a -- \oo rr c' \ =+ .. = - [oo \ltQ,)= cr" ci. - Q-t co.*: = \o'.\ - t\g + bttt) Looo tt t") :o Math 251 Section: 9 Quiz 1 Spring 2009 A |4 Ar. Cc.r0oo". S{ o"pxide-I _+ \"1 [t):\oo+c.F (otatj*s, (c) A carbon monoxide detector in the room is triggered when the carbon monoxide reaches 1%. Find the time when the detector will sound the alarm, Fi; + awo.L U'."t lX" (Jrr'ac-r-vtttoflo^' + \oo (\- *+) =. O\ =_) .t tr) _! e-@=.q + \'oo o = .0\-t :idr #2 \-e--t \oo A^ O.[. + = \oo o^^ (+)...
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math251 quiz1 solution - \.yL*) \,\ Lq = rb\ y'(t)=#yS) +...

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