Calculus III need answer for a b c

1. Suppose you are given the following differential equation: dP - = 3P2 - 66P + 171 dt a) Find the equilibrium solutions for this equation (4 points). b) Using the 2"d derivative, determine the value of P where there is a change in concavity; that is, a point of inflection (4 points). c) Sketch the solution curves for this differential equation having initial points (0, 0), (0, 5), (0, 17), and (0, 20), along with the equilibrium solutions already found (6 points)