A tank used for toxic chemical experiments has a capacity of 1500 litres. It initially contains 600 litres of water well mixed with 5 grams of toxic chemical. Water enters the tank at a rate of 9...

Extracted text: A tank used for toxic chemical experiments has a capacity of 1500 litres. It initially contains 600 litres of water well mixed with 5 grams of toxic chemical. Water enters the tank at a rate of 9 litres/hour carrying the toxic chemical with a concentration of 1/5(1+cos(t)) grams/litre. If the solution in the tank leaves at a rate of 6 litres/hour, how much of chemical is in the tank when the tank overflows. Assume the water and toxic chemical are well mixed inside the tank. Hint: concentration is the amount of chemical in the tank at any time (e.g. grams/hour) over the volume of water in the tank at any time (e.g. litres/hour). Also, there is a net increase of well mixed solution in the tank.