(1 point) a pond contains 15001500 l of pure water and an uknown amount of an undesirable chemical. water contaninig 0.080.08 kg of this chemical per liter flows into the pond at a rate of 99 l/h. the mixture flows out at the same rate, so the amount of water in the pond remains constant. assume that the chemical is uniformly distributed throughout the pond. let q(t)q(t) be the amount of chemical (in kgkg) in the pond at time tt hours. (a) write a differential equation for the amount of chemical in the pond? at any time time (enter q for q(t)q(t): dqdt=dqdt= equation editorequation editor (b) how much chemical will be in the pond after a long time? q[infinity]=q[infinity]= equation editorequation editor (kg) (c) does the limiting value in part (b) depend on the amount that was present initially?