The population y(t) of a certain microorganism grows continuously and quadrupling time is found to be 4.8 hours. What differential equation w O a. y'(t) = 4.8y %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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The population y(t) of a certain microorganism grows continuously and follows an exponential behaviour over time. Its
quadrupling time is found to be 4.8 hours. What differential equation would you use to describe its growth?
O a. y'(t) = 4.8y
O b. y(t) = Ce^(4.8t)
O c. y(t) = Ce^(-(log(4)/4.8)t)
O d. y'(t) = (log(4)/4.8)y
O e. y'(t) = -(log(2)/4.8)y
O f. y(t) = Ce^((log(2)/4.8)t
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Transcribed Image Text:Time left 0:30:29 The population y(t) of a certain microorganism grows continuously and follows an exponential behaviour over time. Its quadrupling time is found to be 4.8 hours. What differential equation would you use to describe its growth? O a. y'(t) = 4.8y O b. y(t) = Ce^(4.8t) O c. y(t) = Ce^(-(log(4)/4.8)t) O d. y'(t) = (log(4)/4.8)y O e. y'(t) = -(log(2)/4.8)y O f. y(t) = Ce^((log(2)/4.8)t Fir Next page us page worku.ca/eclass/mod/quiz/attempt.php?attempt=2789067&cmid=1250975&page=2223 DII F9 80 F7 FB F6 F5 F4 F2 F3
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