Section 1.11. Consider the population modeldPP= 0.3 ( 1 -200P,dt50where P(t) is the population at time t.(a) For what values of P is the population in equilibrium?(b) For what values of P is the population increasing?(c) For what values of P is the population decreasing?

Answered: Image /qna-images/answer/9e6630e1-824d-46c0-8bec-eae6c4ea8ac1.jpg

Answered: = 0.3(1- 2) (-)P. dt 200 at time t. he…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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4. This table shows the growth of a crowd at a rally over a 3 h period. K Time (h) 0.0 0.5 2.0 | 2.5 1.0 1.5 3.0 Number of People 176 245 388 402 432 415 a) Determine the average rate of change in the size of the crowd for each half hour of the rally. b) What do these numbers represent? c) What do positive and negative rates of change mean in this situation?
The graph below shows the velocity of an object moving along a straight line for the time interval of 0 ≤ t ≤ 12. At what time(s) does the object attain its maximum acceleration?
In a natural habitat, the population of a certain species of snails is given by P=0.8(Ae* +500), where A and k are constants and / is the time in years starting from 1 January 2010. Over a period of 8 years from 1 January 2010 to 31 December 2017, the population decreased from 50 000 to 19 000. (i) Calculate the valucs of A and of k.
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Directions: After t hours there are P(t) cells present in a culture, where: 1. How many cells were initially present?. 2. What is the growth constant? 3. When will the initial number of cells double?. 4. When will 14000 cells be present? P(0) = 3500 k= P(t) = 3500e0. t = 0.25 t = 2.75 0.25t 5.7 cells hours hours
If T = 0.25n+ 100 then the average rate of change of T with respect to n is

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= 0.3(1- 2) (-)P. dt 200 at time t. he population in equilibrium? he population increasing?