(19) y critical = 1. ing as a mase line 1. Thus and those istable. 0) = yo if f'(y₁) > 0. bol to 15. Suppose that a certain population obeys the logistic equation dy/dt = ry(1-(y/K)). = a. If yo K/3, find the time T at which the initial population has doubled. Find the value of 7 corresponding to r = = 0.025 per year. Tab. If yo/K = a, find the time T at which y(T)/K = 3, where 0 → 0 or a, 3 < 1. Observe that T→ ∞o as a nas 3- →1. Find the value of T for r = 0.025 per year, a = 0.1, and 3 = 0.9. G 16. Another equation that has been used to model population Shr
(19) y critical = 1. ing as a mase line 1. Thus and those istable. 0) = yo if f'(y₁) > 0. bol to 15. Suppose that a certain population obeys the logistic equation dy/dt = ry(1-(y/K)). = a. If yo K/3, find the time T at which the initial population has doubled. Find the value of 7 corresponding to r = = 0.025 per year. Tab. If yo/K = a, find the time T at which y(T)/K = 3, where 0 → 0 or a, 3 < 1. Observe that T→ ∞o as a nas 3- →1. Find the value of T for r = 0.025 per year, a = 0.1, and 3 = 0.9. G 16. Another equation that has been used to model population Shr
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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