Please determine the TIME at which the height of the sunflower is increasing most rapidly and the actual HEIGHT of the sunflower at that time. Differential Equations The condition is, H (7) = 17.9;2601+ Ce-0.004 (7)17.9=⇒1+C₂-0.004(7)⇒C₂ -0.004(7)⇒-662) = 5-26017.926017.9'¡-1)×⇒C 13.9092;⇒H(t)=- 1;0.004x(7).xeº2601+13.9092xe-0.004z The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t,in days, can be written asdHdt=0.004H (260- H)

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Answered: The logistic growth model describing…

The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t, in days, can be written as dH dt = 0.004H (260-H)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 41CR: For T:P4R5, and rank (T)=3, find nullity (T).

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Question

Please determine the TIME at which the height of the sunflower is increasing most rapidly and the actual HEIGHT of the sunflower at that time. Differential Equations

The condition is, H (7) = 17.9;
260
1+ Ce-0.004 (7)
17.9=
⇒1+C₂-0.004(7)
⇒C₂ -0.004(7)
⇒
-662) = 5-
260
17.9
260
17.9'
¡-1)×
⇒C 13.9092;
⇒H(t)=
- 1;
0.004x(7).
xeº
260
1+13.9092xe-0.004z

The logistic growth model describing the changing height of a sunflower, H, in cm. as a function of time, t,
in days, can be written as
dH
dt
=
0.004H (260- H)

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