The slope field for y = 0.5(1 + y)(2 y) is shown inFigure 11.23.(a) Plot the following

Chapter 11, Problem 14

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The slope field for y = 0.5(1 + y)(2 y) is shown inFigure 11.23.(a) Plot the following points on the slope field:(i) the origin (ii) (0, 1) (iii) (1, 0)(iv) (0, 1) (v) (0, 5/2) (vi) (0, 5/2)(b) Plot solution curves through the points in part (a).(c) For which regions are all solution curves increasing?For which regions are all solution curves decreasing?When can the solution curves have horizontaltangents? Explain why, using both the slope field andthe differential equation.

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