Consider the curve with parametric equation x(t) = t + sin t, y(t) = t + 2e t , where t [2, 10]. (a) Find the equation of the tangent at the point (0, 2). Give your result in the form y = mx + p. (b) Find the coordinates of the points where there is a vertical tangent, and the points where there is a horizontal tangent. 2. Find the length of the curve with parametric equation x(t) = t 2 cost, y