(b) your nullclines divide the phase plane into four regions. give a sample point in each region, and indicate for that point whether each of the populations is increasing or decreasing (by entering the word increasing or decreasing appropriate blank):

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06-12-2022
Mathematics

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(b) your nullclines divide the phase plane into four regions. give a sample point in each region, and indicate for that point whether each of the populations is increasing or decreasing (by entering the word increasing or decreasing appropriate blank):

Answer :

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Tutorconsortium508 Tutorconsortium508 · Answer 1 · 2022-12-27T07:59:37-05:00

It is rising on intervals where the function points upward. When the function points downward, the intervals are decreasing.

How can we tell from the graph of the function whether it is increasing or decreasing?

(i) In one area, (w, r) = (1.5, 0.5) is where worms, w, and robins, r, are both experiencing population growth.

(ii) (w, r) = (1.5, 1.5) is in a location where the number of robins, r, is rising while the number of worms, w, is declining.

(iii) In one area, (iii) (w, r) = (0.5, 1.5), the populations of worms (w), or robins (r), and robins in general are both declining.

(iv) In one area, (w, r) = (0.5, 0.5) is where worms, w, and robins, r, are both experiencing population growth.

Learn more about increasing and decreasing functions at: brainly.com/question/2387514

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QUESTION: Consider the equations dw/dt w - wr and dr/dt = -r + rw, which describe the interactions of robins r and worms w. Give a sample point in each region and say if that point's population is growing or shrinking (fill in the relevant blank with the phrase growing or shrinking):

(i) (w, r) = (,) is in one region, where the worm population, w, and the robin population, r, are.

(ii) (w, r) = (,) is in another region, where the worm population, w, and the robin population, r, are.

(iii) (w, r) = (,) is in a third region, where the worm population, w, and the

(iv) (w, r) = (, ) is in the fourth region, where the population of worms, w is and the population of robins, r is