Suppose that the number of bacteria in a culture at time t is given byN = 3000( 29 + te).(a) Find the largest and smallest number of bacteria in the culture during the time interval 0 < t< 100.Round your answers to the nearest integer.Largest number of bacteria: iSmallest number of bacteria: i(b) At what time during the time interval in part (a) is the number of bacteria decreasing most rapidly?t =ieTextbook and MediaHintAssistance Used(a) Find the critical points of N on the closed interval 0 < t < 100. Then find the value of N at the critical points and theendpoints to determine the absolute maximum and minimum.dNby solving the equation-dtdN= 0 for t.di?(b) Find the critical points of

Answered: (두키 (a) Find the largest and smallest…

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Calculus

(두키 (a) Find the largest and smallest number of bacteria in the culture during the time interval 0

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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Question

Suppose that the number of bacteria in a culture at time t is given byN = 3000( 29 + te).
(a) Find the largest and smallest number of bacteria in the culture during the time interval 0 < t< 100.
Round your answers to the nearest integer.
Largest number of bacteria: i
Smallest number of bacteria: i
(b) At what time during the time interval in part (a) is the number of bacteria decreasing most rapidly?
t =
i
eTextbook and Media
Hint
Assistance Used
(a) Find the critical points of N on the closed interval 0 < t < 100. Then find the value of N at the critical points and the
endpoints to determine the absolute maximum and minimum.
dN
by solving the equation-
dt
dN
= 0 for t.
di?
(b) Find the critical points of

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