r(t)=dr/dt=0.05e^.02t (200-t)

r(0)=1000

using integral calculas i need to show that r(t)=2.5e^.02t (250-t)+375

How is this found???

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- Nov 1st 2007, 03:06 AMsoftdrink_jrintegral calculas???
r(t)=dr/dt=0.05e^.02t (200-t)

r(0)=1000

using integral calculas i need to show that r(t)=2.5e^.02t (250-t)+375

How is this found??? - Nov 1st 2007, 03:17 AMKrizalid
Your question is a little unreadable.

But I could see that you need to solve a differential equation with initial condition. - Nov 1st 2007, 03:42 AMsoftdrink_jris this a little easier to understand???
If the rate of growth of the number of wasps at time t days is given by -

r(t)=dr/dt=0.05e^.02t (200-t), r(0)=1000

show that the number of reproductive wasp r(t) at time t equals -

2.5e^.02t (250-t)+375

- Nov 1st 2007, 05:10 AMkalagota