A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5 lb/gal of concentrate enters the tank at the rate of 5 gal/min, and the well-stirred mixture is withdrawn at the rate of 3 gal/min.a. At what time will the tank be full?b. At the time the tank is full, how many pounds of concentrate will it contain? y3 (100+a®)+ C (100 +aC0)~3/2312CICDCO 312312C=- 50-(I0の)-3/2y (100+ at) + (-50 - (100") - (100 + Xt)-3/23/2%3D312y= (100 + a(50)+ (-50 (10)3/2(100+a(5の0)y= 200 - 50(uoco)312a(a00) 32312= a0c0 - 50(KO0)2(200) 3/2y = 191. 16 lb al concentretion 7.3 #2SgaldminIntegrating Fackor0.5 Ib/galpal) +dt du = a.dtdt 1. du%3De3galD wotat3 gall/Nin3.In (100+2t)In (100+at) oe (100+at)WHAT WakNew3/2yCt)DepaftuRE rate =V(t)(out flow reate)%3D23123 gal /mint (rate in- rate out)3gal/min5 (100+2t)2.STEP 3:Stop. 13/2 dy +100 +(100+at)de100 + 2tconentratxnout3/23/21/2y(t) = 3gal/min Cy)ct)V(E)(100 -2€)4 (100+at)+ 3(100+at)'*.y=2.dtroo + atf3/2((00+at)3/2step 2.dy - (chamical's anrival rete)-dty(t)(outflow rate)d 100+ at)dt3/2S (100+at) . de%3Dcancels outfate in 0,5 lb/gal) (5.Øgal/min)Iblgal - 5,0 gal /min才%3DU=100+ 2tdu= a.dt dt =du5.2J MOVADAH (u).. dudxt%3D3/2%3D"Cherical = 5 1b /min23/2du22 2516/min --3gal / min2.dtdy3/2%3D(00 + 24(100+a+)5/2(lo0tat)ntegratingFactordy + 3gal /minSTEP, 4: Find C,wo +QtFind C when inrtial t=0continue11

A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5 lb/gal of concentrate enters the tank at the rate of 5 gal/min, and the well-stirred mixture is withdrawn at the rate of 3 gal/min. a. At what time will the tank be full? b. At the time the tank is full, how many pounds of concentrate will it contain?

A 200-gal tank is half full of distilled water. At what time (t) = 0, a solution containing 0.5 lb/gal of concentrate enters the tank at the rate of 5 gal/min, and the well-stirred mixture is withdrawn at the rate of 3 gal/min. a. At what time will the tank be full? b. At the time the tank is full, how many pounds of concentrate will it contain?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 23E

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