\text { Consider the differential equation } \frac{d y}{d x}=(3-y) \cos x \text {. Let } y=f(x) \text { be the particular solution } to the differential equation with the initial condition f(0) =1. The function f is defined forall real numbers. (a) A portion of the slope field of the differential equation is given below. Sketch the solution curve through the point (0,1).

(b) Write an equation for the line tangent to the solution curve in part (a) at the point (0,1). Use theequation to appropriate f(0.2). (c) Find y = f(x), the particular solution to the differential equation with the initialcondition f(0) = 1.