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() The slope field for the equation for P0, is shown below. dP dt = 0.1P(10-P), 777 77 ZZZZZ VZZZZ 1111 Z Z Z

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() The slope field for the equation for P0, is shown below. dP dt = 0.1P(10-P), 777 77 ZZZZZ VZZZZ 1111 Z Z Z Z Z Z Z Z!!! 7777777777777777 On a sheet of paper, sketch the solutions to this slope field that pass through (0,0); (1, 4); (4, 1); (-4.5, 1); (-2, 12); and (-2, 10). For which interval of positive values of P are the solutions increasing? Increasing for: For what interval of positive values of P are the solutions decreasing? Decreasing for: What is the equation of the solution to this differential equation that passes through (0,0)? P = If the solution passes through a value of P > 0, what is lim P(t)? 0047 1

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