Find The Derivative Foo- xs. For this assigment, you submit answers questions. Y

Question

Find The Derivative Foo- xs. For this assigment, you submit answers questions. Your lstsubmssen is used for your score es points SEstcakET1 34 ook ss Submissions used A bacteria culture grows with constant relative growth rate. After 2 hours there are 60o bacteria and after E hours the count is 75,000. (a) Find the initial population. 120 (b) Find an expression for the population after t hours. 120.125 120-5 Find the number of cels after s hours. rind the rate growth after Shours. bacteria/hour (e) When the population reach 200,000? M932 hours solution pr Eiplana

Explanation / Answer

c)

P(t) = 120 . exp[1/2.ln(5) . t]
P'(t) = 1/2 ln(5) P(t)
P'(5) = 1/2 ln(5). 120 . 5^(5/2) =5366.56

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