Mathematics, 19.03.2021 18:40, jetskiinbunny31
A cell culture currently contains 4 thousand cells, and is growing at a rate of r (t) = 8e^0.18t thousand cells per hour, where t is the number of hours since now. Find the total cell count after 3 hours. Give your answer accurate to at least 2 decimal places.
Answers: 1
![\begin{aligned} r &=4+\int_{0}^{3} 8 e^{0.18 t} d t \\ &=4+3 \cdot\left[\frac{e^{0.18t}}{0.18}\right]_{0}^{3} \\ &=4+\frac{3}{0.18}\left(e^{0.18(3)}-e^{0.18(0)}\right) \\ &=19.9996 \end{aligned}](/tpl/images/1207/0232/5d205.png)
thousand cells
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A cell culture currently contains 4 thousand cells, and is growing at a rate of r (t) = 8e^0.18t tho...
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