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