- #1

monet A

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I have a question here that I do not understand completely.

The Growth of virulent bacteria is modeled over a short period of time by a very ambitious mathematical modeller as n=

[tex] 10^{10} (x sin2x + tan^4 x^7)^3 [/tex]

where x is measured in hours from x=.02 --> x= .1 from 12 noon.

The researcher observes that 1 minute and 12 seconds after noon n = 5 by three minutes after 12 noon n = ca 1250 and by 6 mins after noon the n = ca 78415. Show the model as proposed is a good fit for the numerical data. Determine the rate of Bacterial growth after 3 minutes.

I am not sure what I am being asked to do here. Am I just plugging in x values for the first half of the question or am I being asked to make a more complex analysis of the function between the said points. And for the second part of the question I presume that n (6) = 78415 is not a good fit for the function, but where shall I start to find a function that does fit, I am not sure of the method I should be employing here, I must have missed the lecture. Please help

The Growth of virulent bacteria is modeled over a short period of time by a very ambitious mathematical modeller as n=

[tex] 10^{10} (x sin2x + tan^4 x^7)^3 [/tex]

where x is measured in hours from x=.02 --> x= .1 from 12 noon.

The researcher observes that 1 minute and 12 seconds after noon n = 5 by three minutes after 12 noon n = ca 1250 and by 6 mins after noon the n = ca 78415. Show the model as proposed is a good fit for the numerical data. Determine the rate of Bacterial growth after 3 minutes.

I am not sure what I am being asked to do here. Am I just plugging in x values for the first half of the question or am I being asked to make a more complex analysis of the function between the said points. And for the second part of the question I presume that n (6) = 78415 is not a good fit for the function, but where shall I start to find a function that does fit, I am not sure of the method I should be employing here, I must have missed the lecture. Please help

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