Hi, I Need Some Help Solving And Checking This Pro

Anonymous

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Hi, I need some help solving and checking this problem.Thanks to anyone whom helps! The number of people newly infected on day t of a flu epidemicis f(t)=13t2-t3 (for0≤ t≤ 13). Find the instantaneous rate ofchange of this number on: a. Day 5 b. Day 10 (interpret answers)

 

Answer No.1

Anonymous

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All you have to do to find the rate of change is find thefirst derivative f ' (t) = 26t - 3t^2 a. f ' (t) = 26(5) - 3 * 5^2 = 55 (which means that the slopeis increasing meaning that the rate of the spreading virus isincreasing) b. f ' (t) = 26(10) - 3 * 10^2 = -40 (which means that therate of the spreading virus is decreasing --although it IS stillspreading)

Answer No.2

Anonymous

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Thank you. I need this for a presenation and the textbook I got this problem from doesn't have a solutions manual I can get yet (new edition of book), so thank you for helping me check my work !! Lifesaver :)

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