Find the extremals of the functional in each case below. J[y] = (y)² (a) L(x, y, y) = 3 ୮ L(x,y,y) dx, yЄ C¹[a, b] a (b) L(x, y, y) = y² + (y')² + 2 ye*. (c) L(x, y, y) = = x² + y² √√1+(y')². Hint: Use polar coordinates.