1. A Mixture Problem In an oil refinery, a storage tank contains 10,000 [L] of gasoline that initially has 50 [kg] of an additive dissolved in it. In preparation for winter weather, gasoline...

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Extracted text: 1. A Mixture Problem In an oil refinery, a storage tank contains 10,000 [L] of gasoline that initially has 50 [kg] of an additive dissolved in it. In preparation for winter weather, gasoline containing 0.2 [kg] of additive per litre is pumped into the tank at a rate of 200 [L/min]. 200 L/min containing 0.2 kg/L 220 L/min containing kg/L Where y is the amount of chemical in the container at time 1, and V is the total volume of liquid in the container at time 1, a) Write a formula V(t) for the capacity (volume) of the tank at any time. b) Find the domain of V for this problem c) Find the rate of incoming additive in [kg/min] d) Find the rate of outgoing additive in [kg/min] e) Express the rate of change of the amount of chemical in the container at time t in its standard form f) Calculate how much of the additive is in the tank 25 minutes after the pumping process begins.