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F A tank contains & L (liters) of water in which is dissolved 32 , (grams) of a certain chemical solution consisting of 3 p/1

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F A tank contains & L (liters) of water in which is dissolved 32 , (grams) of a certain chemical solution consisting of 3 p/1 of the same chemical flows into the tank at a fate ui 4 L/min, and you well-stirred mixture flows out at a rate of 2 L/min. (9) (+15) Set up (but do not solve, that's part (b) below) the IVP which models the amount of chemical, A(f) (in grams), that remains in the tank f minutes after the new chemical solution begins to flow into the lank. (b) (+15) What is the concentration of chemical in the tank after 20 minutes?5. Eight differential equations and four slope fields are given below. Determine the equation that corresponds to each slope field. (i) dy dy dy dy (ii) =y- 1 (iv) =1-1 dt di dy dy dy 2 -1 (V) dy =1-y (vi) =ty -t (vill) dt =y+1 (vil) dt di (a) (b) (d) (c) y 112+1 t

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