AMS 301 (Spring, 2011)Estie ArkinHomework Set # 9Due in class on Thursday, April 28, 2011.Recommended Reading: Tucker, 6.1, 6.22(b,c), 4(c), 14 — Section 6.14, 20 — Section 6.2Homework Set # 10Due in class on Thursday, May 5, 2011.Recommended Reading: Tucker, 7.1, 7.26(a,b), 24 — Section 7.1Problem A:A computer virus is spread by way of e-mail messages, and is planted in 3 machines the firstday.Each day, each infected machine from the day before infects 5 new machines.Letanbe the totalnumber of machines that are infected (have this virus) on thenth day.(a). Write a recurrence foran. Do not forget the complete set of initial conditions! (You do not have tosolve the recurrence.)(b).Now suppose that on the second day a software solution is found to counteract the virus, and onemachine is cleaned on this (the second) day. Each day thereafter, twice as many machines are cleaned aswere cleaned the day before. Write a recurrence foran. Do not forget the complete set of initial conditions!
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