(a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i) If it is found that the number doubles in 8 hours, how many may be expected at the end of 24 hours? (ii) If there are 10* at the end of 7 hours and 4 x 10* at the end of 9 hours, how many were there in the beginning?
(a) In a certain culture of bacteria the rate of increase is proportional to the number present. (i) If it is found that the number doubles in 8 hours, how many may be expected at the end of 24 hours? (ii) If there are 10* at the end of 7 hours and 4 x 10* at the end of 9 hours, how many were there in the beginning?
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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Transcribed Image Text:(a) In a certain culture of bacteria the rate of increase is proportional to the number
present.
(i) If it is found that the number doubles in 8 hours, how many may be expeeted
at the end of 24 hours?
(ii) If there are 10* at the end of 7 hours and 4 x 10* at the end of 9 hours, how
many were there in the beginning?
(b) According to Newton's law of cooling, the rate at which a substance cools in
moving air is proportional to the difference between the temperature of the substance
and that of the air. If the temperature of the air is 32 and the substance cools from
100 to 70° in 15 minutes, find when the temperature will be 12°.
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