subject
Mathematics, 11.02.2020 00:31 alkaline27

Suppose that a certain population satisfies the initial value problem dy/dt = r(t)y − k, y(0) = y0, where the growth rate r(t) is given by r(t) = (1 + sin t)/5, and k represents the rate of predation. (a) Suppose that k = 1/5. Plot y versus t for several values of y0 between 1/2 and 1. (b) Estimate the critical initial population yc below which the population will become extinct. (c) Choose other values of k and find the corresponding yc for each one. (d) Use the data you have found in parts (b) and (c) to plot yc versus k

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 16:20
Aclass consists of 55% boys and 45% girls. it is observed that 25% of the class are boys and scored an a on the test, and 35% of the class are girls and scored an a on the test. if a student is chosen at random and is found to be a girl, the probability that the student scored an ais
Answers: 2
question
Mathematics, 21.06.2019 18:50
The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103
Answers: 3
question
Mathematics, 21.06.2019 20:00
For problems 29 - 31 the graph of a quadratic function y=ax^2 + bx + c is shown. tell whether the discriminant of ax^2 + bx + c = 0 is positive, negative, or zero.
Answers: 1
question
Mathematics, 21.06.2019 21:30
Which graph has a rate of change of zero
Answers: 1
You know the right answer?
Suppose that a certain population satisfies the initial value problem dy/dt = r(t)y − k, y(0) = y0,...
Questions
question
Mathematics, 29.01.2020 06:58
question
Mathematics, 29.01.2020 06:58
question
Mathematics, 29.01.2020 06:58
question
Mathematics, 29.01.2020 06:58
question
Mathematics, 29.01.2020 06:58
Questions on the website: 13722360