Every nine hours, the size of a bacterium culture triples. It will take three hours for the culture to grow to have 9,000 bacteria. Assuming the number of bacteria is denoted by Q(t), then Q(t) = Q0e kt for some value Q0 and some number k is true.a) Find out what Q0 and k are.b) How many bacteria are present at the point in time when t = 0?d) After ten hours, how many germs are still present? Do you see how to handle this problem in a "simple" way?

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Answered: Every nine hours, the size of a…

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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Every nine hours, the size of a bacterium culture triples. It will take three hours for the culture to grow to have 9,000 bacteria. Assuming the number of bacteria is denoted by Q(t), then Q(t) = Q0e kt for some value Q0 and some number k is true.

a) Find out what Q0 and k are.
b) How many bacteria are present at the point in time when t = 0?
d) After ten hours, how many germs are still present? Do you see how to handle this problem in a "simple" way?

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