(a) Write the equation of the tangent line to the parametric curve defined by x(t) = t2 + t and y(t) = e4t + 1 at t = 0. (b) Consider the two polar curves r = 2 and r = 4sin. (i) Plot both polar curves on the same set of axes. Also, shade the area bounded inside both polar curves. (ii) Find 1 and 2 such that 0 1 < 2 < 2 and where every point in the shaded region from(i)canbewrittenas(r,)wherer0and1 2. (iii) Find 3 and 4 such that 0 3 < 4 < 2 and where every point in the shaded region from(i)canbewrittenas(r,)wherer0and3 4