I need help with part d of this problem I did everything else Please help me At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 16 grams. The maximum weight of the culture is 80 grams.(a) Write a logistic equation that models the weight of the bacterial culture. (Round your coefficients to four decimal places.)801 + 19e-0.5194ty =33g (c) When will the culture's weight reach 75 grams? (Round your answer to two decimal places.)10.88hr (d) Write a logistic differential equation that models the growth rate of the culture's weight. Then repeat part (b) using Euler's Method with a step size of h = 1. (Roundyour answer to the nearest whole number.)dydt19(1-()) (1 - 50)In11y380y(5) = 32.335.669(b) Find the culture's weight after 5 hours. (Round your answer to the nearest whole number.)Need Help?Read ItXX g (e) At what time is the culture's weight increasing most rapidly? (Round your answer to two decimal places.)hrMaster It

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Answered: I need help with part d of this problem…

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I need help with part d of this problem I did everything else Please help me

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 34PT: The population of a lake of fish is modeled by the logistic equation P(t)=16,1201+25e0.75t, where t...

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Question

I need help with part d of this problem I did everything else

Please help me

At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 16 grams. The maximum weight of the culture is 80 grams.
(a) Write a logistic equation that models the weight of the bacterial culture. (Round your coefficients to four decimal places.)
80
1 + 19e
-0.5194t
y =
33
g (c) When will the culture's weight reach 75 grams? (Round your answer to two decimal places.)
10.88
hr (d) Write a logistic differential equation that models the growth rate of the culture's weight. Then repeat part (b) using Euler's Method with a step size of h = 1. (Round
your answer to the nearest whole number.)
dy
dt
19
(1-()) (1 - 50)
In
11
y
3
80
y(5) = 32.33
5.669
(b) Find the culture's weight after 5 hours. (Round your answer to the nearest whole number.)
Need Help?
Read It
X
X g (e) At what time is the culture's weight increasing most rapidly? (Round your answer to two decimal places.)
hr
Master It

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