Derricktorres2347 Derricktorres2347

26-11-2022
Mathematics

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A store is having a 12-hour sale. The total number of shoppers who have entered the store [tex]t[/tex] hours after the sale begins is modeled by the function [tex]S[/tex] defined by [tex]S(t)=0.5 t^4-16 t^3+144 t^2[/tex] for [tex]0 \leq t \leq 12[/tex]. At time [tex]t=0[/tex], when the sale begins, there are no shoppers in the store.
a) At what rate are shoppers entering the store 3 hours after the start of the sale? [T1]

Answer :

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