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 - 2)(y + 6)

A. y = 2, y = -6; increasing for -6 < y < 2; decreasing for y < -6 or y > 2
B. y = -2, y = 6; increasing for -6 < y < 2; decreasing for y < -6 or y > 2
C. y = 2, y = -6; increasing for y < -6 or y > 2; decreasing for -6 < y < 2
D. y = -2, y = 6; increasing for y < -6 or y > 2; decreasing for -6 < y < 2


Answer: C

Mathematics

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