The slope field for the equation dP dt 0 0333333P 30 P for P20 is shown below 21 1 1 717 11 11 11111 38 On a print out of this slope field sketch the solutions that pass through 0 0 3 12 12 3 14 5 3 6 36 and 6 30 For which positive values of P are the solutions increasing Increasing for Give your answer as an interval or list of intervals e g if P is increasing between 1 and 5 and between 7 and infinity enter 1 5 7 Inf For what positive values of P are the solutions decreasing Decreasing for Again give your answer as an interval or list of intervals e g if P is decreasing between 1 and 5 and between 7 and infinity enter 1 5 7 Inf What is the equation of the solution to this differential equation that passes through 0 0 P 0 If the solution passes through a value of P 0 what is the limiting value of Past gets large