MAT-111 Project P1 - homework analee miranda PDF

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MAT 111 CRN 20283 New York Mathematics Department Pace University

Elementary Calculus Spring 2019 Instructor: Dr. Miranda The zombie apocalypse project part I DUE: February 4, 2019

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The NY zombie epidemic grows according to the function t

g(t)=2 where t is the time that passes in seconds. Suppose that people began to fight back at a rate of 2 d ( t ) =2t + 3 t + 1

where t

is the time that passes in seconds.

1. If no one fought back, and no zombies died, how long would it take (in hours) for the entire state of NY to be a “zombie” only population? The population of NY at the time of the attack was approximately 20 million. 20mil=2^t Log2(20mil)=t About 24.253 seconds 2. Plot g(t) and d ( t ) on the same graph.

MAT 111 CRN 20283 New York Mathematics Department Pace University

3. Determine the zombie population equation z(t)= 2t −2t 2−3 t−1

z ( t )=g ( t )−d ( t ) . Plot

z ( t ).

4. It has been 3 days (72 hrs) since the zombie apocalypse began. Is the zombie population equation accurate (i.e., is it possible that there are non-zombies left after 72 hours)? z(t)= 2t −2t 2−3 t−1 259200 seconds = 72 hrs Z(t)=2^(259200)-2(259200)^2-3(259200)-1 Not possible; because after about 24.253 seconds (without people fighting back) the total population has already been compromised. With a population fighting back there are about 1326 non zombies in that amount of time, which would undoubtable within the minute get turned into zombies anyways....