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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 Q³(t). That is, Q' = -kQ³, where k is a positive constant of proportionality. 1 How long will it take for the reactant to be reduced to one 4 half of its original amount? a. Suppose Q (0) t = b. Suppose Q (0) = t= half of its original amount? help (numbers) 1 = How long will it take for the reactant to be reduced to one 8 help (numbers)

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 Q³(t). That is, Q' = -kQ³, where k is a positive constant of proportionality. 1 How long will it take for the reactant to be reduced to one 4 half of its original amount? a. Suppose Q (0) t = b. Suppose Q (0) = t= half of its original amount? help (numbers) 1 = How long will it take for the reactant to be reduced to one 8 help (numbers)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 Q³(t). That is, Q' = -kQ³, where k is a positive constant of proportionality. 1 How long will it take for the reactant to be reduced to one 4 half of its original amount? a. Suppose Q (0) t = b. Suppose Q (0) = t= half of its original amount? help (numbers) 1 = How long will it take for the reactant to be reduced to one 8 help (numbers)
Transcribed Image Text: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 Q³(t). That is, Q' = -kQ³, where k is a positive constant of proportionality. 1 How long will it take for the reactant to be reduced to one 4 half of its original amount? a. Suppose Q (0) t = b. Suppose Q (0) = t= half of its original amount? help (numbers) 1 = How long will it take for the reactant to be reduced to one 8 help (numbers)
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