From an environmental study of a certain community it is estimated that there will be Q(p)=p^2 + 3p +1200 units of a harmful pollutant in the air when the population is p thousand. The population is currently 30,000 people and is increasing at the rate of 2000 people per year. At what rate is the level of air pollution increasing currently?

Question

anonymous · Answer

differentiate the equation and substitute p=30 and dp/dt =2

anonymous · Answer

so....Q(p)=2p + 3
=[2(30) + 3](2)

?

anonymous · Answer

dQ(p)/dt=2p(dp/dt )+3(dp/dt )

anonymous · Answer

@marnie12345

anonymous · Answer

how do u know to put the dp/dt in those spots?

anonymous · Answer

i'm differtiating with respect to time not q

anonymous · Answer

got it??

anonymous · Answer

ummm....yes. I think I'm just confused as to how I would know to put dp/dt in those areas.

anonymous · Answer

substitute n tell me wheather the answer is right

anonymous · Answer

@marnie12345

anonymous · Answer

I don't actually know the correct answer

anonymous · Answer

k no problem ofcourse this is a right process

anonymous · Answer

ok thank u.

anonymous · Answer

welcome:)