Question

The number of computers infected by a computer virus increases according to the model VEO) 10086.539, where t is the time in hours. Find the number of computers infected after 1 hour, 2 hours, and 3 hours. (Round your answers to the nearest whole number.) (a) 1 hour computers (b) 2 hours computers (c) 3 hours computers

Answer 1

Answer: a computer ot computers infected No. of computers infected by virus is given by according according the problem 4.689t v (t) = 100 e here, v is the number by the virus and t the time in hours Now, (a) Number of computers infected Virus after 1 hour. 4.689t 4 689X1 VO 100 e by the 100 e 4.689 100 e 100 X 108.744381 = 10874.4381 computers. since compu Number of computer can not be in decimal numbers so the nearest whole number will be 10875 computers because than 1007 4 computers are infected. the number of computers infected by the virus after 1 hour in whole numbers = 10875 computers so more

by the Virus (6) Number of computers infected after 2 hour. 4.60gt 4-68982 Vlt) = 100 e 100 e 9.378 - 100 e 1004 11825.34041 1182534 04 computers So the nearest whole number will be 1182535 computers because the number of computers are than 1182534 computers. the number of computers infected by the virus after a hour in whole numbers = more 1182535 computers Number of computers infected by the virus after 3 hours 4.689€ VLt) = 100 e 100 e 460943 14.067 100x e 100 X 1285 939.323 128593932.3 computers so the nearest whole number will be 128593933 computers because the number of computers are than 12 05 93932 computers. so the number of computers infected by the Virus after 3 hours more in whole numbers 128593933 computers

Expansion of of en:- x² 24 е e + = 1 + x X 3! 2! 1! 4! é = 2-718281828 virats Conclusion - Number of computers infected by the after (a.) 1 hour 10875 computers (b.) 2 hours 1182535 computers (6.) 3 hours 128593933 Computers