(3 points) Suppose P(x, y) = y?+ x} and C is the line segment from point P = (2, 0) to Q = (0, 3). (a) Find a vector parametric equation ?(I) for the line segment C so that points P and Q correspond to I = 0 and I = 1, respectively. $0) = (b) Using the parametrization in part (a), the line integral of P along C is b b f-d?=/ PG(I))-?'(t)dt=/ 555 ch C a a with limits of integration 0 = 555 and b = 555 (c) Evaluate the line integral in part (b). (d) What is the line integral of P around the clockwiseoriented triangle with corners at the origin, P, and Q? Hint: Sketch the vector field and the triangle