Concept explainers
The number of computers N(t) (in millions) infected by a computer virus can be approximated by
where t is the time in months after the virus was first detected.
a. Determine the number of computers initially infected when the virus was first detected.
b. How many computers were infected after 6 months? Round to the nearest hundred thousand.
c. Determine the amount of time required after initial detection for the virus to affect 1 million computers. Round to the nearest tenth of a month.
d. What is the limiting value of the number of computers infected according to this model?
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