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The figure below shows the spread of the Code-red computer virus during July 2001. Most of the growth took place starting at midnight on July

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The figure below shows the spread of the Code-red computer virus during July 2001. Most of the growth took place starting at midnight on July 19; on July 20, the virus attacked the White House, trying (unsuccessfully) to knock its site off-line. The number of computers infected by the virus is a logistic function of time. na (thousands of infected computers) 40 30 n = f(t) 20 10 I t (hours 8 16 24 32 since midnight) (a) Estimate the limiting value of f(t) as t increases. Round your answer to the nearest thousand computers. The limiting value of f(t) is 35 thousand computers. (b) Estimate the value of t at which f" (t) = 0. Estimate the value of n at this time. Round your answer for t the nearest hour and your answer for n to the nearest thousand computers. i 16 thousand computersIn the spring of 2003, SARS (Severe Acute Respiratory Syndrome) spread rapidly in several Asian countries and Canada. The table below gives the total number, P, of SARS cases reported in Hong Kong by day t, where t = 0 is March 17, 2003. P P +. P P 0 95 26 1108 54 1674 75 1739 5 222 33 1358 61 1710 81 1750 12 470 40 1527 68 1724 87 1755 19 800 47 1621 (a) Find the average rate of change P for the intervals 19

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