Consider the differential equation. A detailed direction field is not needed. Find the solutions that are constant, for all  (the equilibrium solutions). In what regions are solutions increasing? Decreasing?y'(t) = (y - 3)(y + 9)

A. y = 3, y = -9; increasing for -9 < y < 3; decreasing for y < -9 or y > 3
B. y = -3, y = 9; increasing for -9 < y < 3; decreasing for y < -9 or y > 3
C. y = -3, y = 9; increasing for y < -9 or y > 3; decreasing for -9 < y < 3
D. y = 3, y = -9; increasing for y < -9 or y > 3; decreasing for -9 < y < 3


Answer: D

Mathematics

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