Obviously i don't know the formula dx/dt= kx(1- x/A) that well..
My professor told me all i have to do is factor out the 1/200 from M/200,
which makes (200-M). The number in front is the limit.
I wonder can someone give me some extra explanation on that.
Thank you .
I understand the concept,
but the answer key i have shows that a specific integral is the answer.
Which mean the answer cannot be 'increasing toward infinity' or things like that.
I wonder if anyone can list the steps how to get that specific number.
Appreciate any help.
The number of bacteria in a lab is model by the function M that satisfies the logistic differential equation dM/dt = 0.6M (1 - (M/200) ), where t is the time in days and M(0) = 50. What is the limit of M(t) as t approach infinity?
Do i use the fundamental theorem of calculus?
A particle moves in the xy-plane so that the position of the particle is given by
x(t)=5t+3sint , y(t)=(8-t)(1-cost)
Find the velocity vector at the time when the particle's horizontal position is x=25
answer is (7.008, -2.228)
*the x=25, i think the trick is somehow get the t with that..