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A colony of bacteria has a total weight which varies according to w ( t ) =12.5 e 0.5 t (weight in Newtons, time in

A colony of bacteria has a total weight which varies according tow(t) =12.5e0.5t

(weight in Newtons, time in hours). Find the average weight of the colony over the interval[1,4].

(Round your answer to two decimal places.)

N

Find a valuecin[1,4]

such thatw(c)

attains this average. (Round your answer to two decimal places.)

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