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Bologna Sausage Scientists have developed a model to
Chapter 4, Problem 61A(choose chapter or problem)
Bologna Sausage Scientists have developed a model to predict the growth of bacteria in bologna sausage at 32°C. The number of bacteria is given by where N0 is the number of bacteria present at the beginning of the experiment and N(t) is the number of bacteria present at time t (in hours). Source: Applied and Environmental Microbiology.a. Use the properties of logarithms to find an expression for N(t). Assume that N0 =1000.b. Use a graphing calculator to estimate the derivative of N(t) when t =20 and interpret.c. Let S(t) = ln(N(t)/N0) Graph S(t) on [0, 35] by [0, 12].d. Graph N(t)on [0, 35] by 30, [0,000,000] and compare the graphs from parts c and d.e. Find S (t) and then use this limit to find N (t)
Questions & Answers
QUESTION:
Bologna Sausage Scientists have developed a model to predict the growth of bacteria in bologna sausage at 32°C. The number of bacteria is given by where N0 is the number of bacteria present at the beginning of the experiment and N(t) is the number of bacteria present at time t (in hours). Source: Applied and Environmental Microbiology.a. Use the properties of logarithms to find an expression for N(t). Assume that N0 =1000.b. Use a graphing calculator to estimate the derivative of N(t) when t =20 and interpret.c. Let S(t) = ln(N(t)/N0) Graph S(t) on [0, 35] by [0, 12].d. Graph N(t)on [0, 35] by 30, [0,000,000] and compare the graphs from parts c and d.e. Find S (t) and then use this limit to find N (t)
ANSWER:Solution:-Step 1 of 6Given thata. By using the properties of logarithms, we have to find an expression for N(t). Assume that N0 =1000.