C. Consider the differential equation =3 = =x(y -2)2. a. A slope field for the given differential equation is shown below. Sketch the solution curve that passes through the point (0,2) , and sketch the solution curve that passes through the point (1,0). (2 points) b. Let y = f(x) be the particular solution to the given differential equation with initial condition f (1) = 0. Write an equation for the line tangent to the graph of y = f(x) at x=1. Use your equation to approximate f (0.7) (2 points) c. Find the particular solution y = f(x) to the given differential equation with the initial condition f (1) =0. (5 points)