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I need help understanding this question, I\'m not sure what I am messing up Let

ID: 2987201 • Letter: I

Question

I need help understanding this question, I'm not sure what I am messing up


Let Q(t) represent the amount of a certain reactant present at time t.  Suppose that the rate of decrease of Q(t) is proportional to Q^3(t) .  That is, Q'=-kQ^3 , where  k is a positive constant of proportionality.


a) Suppose Q(0)= 1/8.   How long will it take for the reactant to be reduced to one half of its original amount?


b)Suppose Q(0)= 1/2. How long will it take for the reactant to be reduced to one half of its original amount?

Explanation / Answer

dQ/dt = ?kQ

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