a) [5 points] Find the point on the parabola :1:=t, y=t2, Oo

a) [5 points] Find the point on the parabola y = t2, closest to the point (2, 5. 00 < t < 00, Hint: Minimize the square of the distance as a function of t. b) [5 points] Find the area enclosed by the astroid shown in Figure (5). = cos3t, y = sin3t, 0 < t < 27T c) [5 points] Find the area of the region that lies inside the circle r = 1 and outside the cardioid r = 1 coso (6).