(1 pt) 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^{\,\prime} = -kQ^3, where k is a positive constant of proportionality.
Suppose \displaystyle Q(0) = \frac{1}{2}. How long will it take for the reactant to be reduced to one half of its original amount?

t = help (numbers)

Suppose \displaystyle Q(0) = \frac{1}{4}. How long will it take for the reactant to be reduced to one half of its original amount?

Question

(1 pt) 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^{\,\prime} = -kQ^3, where k is a positive constant of proportionality.
Suppose \displaystyle Q(0) = \frac{1}{2}. How long will it take for the reactant to be reduced to one half of its original amount? 

t =  help (numbers) 

Suppose \displaystyle Q(0) = \frac{1}{4}. How long will it take for the reactant to be reduced to one half of its original amount?

anonymous · Answer

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