(c) Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there are 250 strands of the bacteria in the solution which grows to 800 strands after seven hours. Find (a) an expression for the approximate number of strands in the culture at any time t. (b) the time needed for the bacteria to grow to 1600 strands.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(c)
Bacteria grow in a nutrient solution at a rate proportional to the amount
present. Initially, there are 250 strands of the bacteria in the solution
which grows to 800 strands after seven hours.
Find
(a) an expression for the approximate number of strands in the culture
at any time t.
(b) the time needed for the bacteria to grow to 1600 strands.
Transcribed Image Text:(c) Bacteria grow in a nutrient solution at a rate proportional to the amount present. Initially, there are 250 strands of the bacteria in the solution which grows to 800 strands after seven hours. Find (a) an expression for the approximate number of strands in the culture at any time t. (b) the time needed for the bacteria to grow to 1600 strands.
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