Assignment on Algebra Investigation

Added on - 12 Nov 2020

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Algebra investigation
Table of ContentsTable of Contents.............................................................................................................................................2Part A..............................................................................................................................................................31. Algebraic rule that links the number of bacteria present at a specific point of time to the number ofbacteria present a minute prior.................................................................................................................32. Expression that is used in order to determine number of bacteria that would be present after t minutes.................................................................................................................................................................33. Calculation of bacteria that would be present after 2 hours.................................................................3Part B...............................................................................................................................................................4a. Establishment of relationship between size of colony and the number of bacteria...............................4b. Different rates of replication................................................................................................................4c. Colonies of different sizes at the start..................................................................................................4d. Effect of growth limiting factors..........................................................................................................5REFERENCES...............................................................................................................................................7
Part A1. Algebraic rule that links the number of bacteria present at a specific point of time to thenumber of bacteria present a minute priorAlgebraic rule that has been used for the purpose of linking bacteria present at a specific point tothe number of bacteria present just before one minute is as follows:It can be solve using an exponential equationa(r)^nA is constant which is 0, N is number of bacteria and thus the relation is a recurrence relation.2. Expression that is used in order to determine number of bacteria that would be present after tminutesa(0) = 2a(1) = 2(2)^2a(2) = 2(2)^3a(3) = 2(2)^4a(4) = 2(2)^5a(5) = 2(2)^6 = 643. Calculation of bacteria that would be present after 2 hoursa(2 hours =120 minutes) = 2(2) ^121a(120)= 2(2) ^121 = 5.316911983139663e+364.Calculation of time that would be consumed by colony for reaching 1 million bacteria18 minutes 30 seconds
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