A culture of bacteria in a particular dish has an initial population of 200 cells grows at a rate of N'(t) = 60e0.27465t a. Find the population N(t) at any time t≥ 0. b. What is the population after 10 days? a. Find a formula for the number of cells, N(t), after t days. N(t) = (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.) b. After 10 days, there are cells present. (Use the answer from part a to find this answer. Round to the nearest whole number as needed.) cells/day.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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A culture of bacteria in a particular dish has an initial population of 200 cells grows at a rate of N'(t) = 60e0.27465t cells/day.
a. Find the population N(t) at any time t≥ 0.
b. What is the population after 10 days?
a. Find a formula for the number of cells, N(t), after t days.
N(t) =
(Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
b. After 10 days, there are cells present.
(Use the answer from part a to find this answer. Round to the nearest whole number as needed.)
Transcribed Image Text:A culture of bacteria in a particular dish has an initial population of 200 cells grows at a rate of N'(t) = 60e0.27465t cells/day. a. Find the population N(t) at any time t≥ 0. b. What is the population after 10 days? a. Find a formula for the number of cells, N(t), after t days. N(t) = (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.) b. After 10 days, there are cells present. (Use the answer from part a to find this answer. Round to the nearest whole number as needed.)
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