Note: If you are asked for value(s), give your answer as a single value (e.g. 17 ), or a comma separated list (e.g. 1,2,3 ), or NONE. If you are asked for an interval, give your answer in interval notation. Type INF for co and -INF for -co. (* **) The slope field for the equation dp dt = 0.0333333P(30 - P), for P 2 0, is shown below. 30On a sheet of paper, sketch the solutions to this slope field that pass through (0,0); (3,12); (12,3); (14.5,3); (6, 36); and (*6, 30). For which interval of positive values of P are the solutions increasing? For what interval of positive values of P are the solutions decreasing? What is the equation of the solution to this differential equation that passes through (0,0)? If the solution passes through a value of P > 0, What is lim P(t)? taco taco