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(Solved): A cell culture contains 4 thousand cells, and is growing at a rate of \( r(t)=7 e^{0.22 t} \) thou ...



A cell culture contains 4 thousand cells, and is growing at a rate of \( r(t)=7 e^{0.22 t} \) thousand cells per hour.
Find t

A cell culture contains 4 thousand cells, and is growing at a rate of \( r(t)=7 e^{0.22 t} \) thousand cells per hour. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal places. thousand cells


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We are given the rate of growth function as r(t)=7e0.22t Let N(t) be the number of cells at the time t then we can write dN(t)dt=r(t)dN(t)dt=7e0.22tdN
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