Another Calculus Problem? uwu?
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Another Calculus Problem? uwu?

[From: Mathematics] [author: ] [Date: 01-07] [Hit: ]
Another Calculus Problem? uwu?Math help? Will give best answer?!?Suppose that a population of bacteria grows according to the logistic equation dp/dt = 2P(3-P), where P is the population measured in thousands and t is time measured in days.......


Another Calculus Problem? uwu?
Math help? Will give best answer?!? Suppose that a population of bacteria grows according to the logistic equation dp/dt = 2P(3-P), where P is the population measured in thousands and t is time measured in days. (a) Sketch the solution curve that passes through the point (0,1/10) and sketch the solution curve...
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answers:
rotchm say: Are you at least trying?

You are required to solve dp/dt = 2P(3-P).
From high school algebra, rewrite as dP/ ( P(3-P) ) = dt.
Now, just integrate both sides. For the LHS, again, using highschool algebra, rewrite in partial fractions.

Your answer will have an arbitrary constant "C".
Given a point (as you are given), you can solve for C.

Show your steps here and then we will proceed.

Hopefully no one will spoil you the answer thereby depriving you from your personal enhancement; that would be very inconsiderate of them.
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