2. The image below is of the astroid curve 2/3+2/3 = 2. We want to compute the length of this curve. (a) Rearrange the equation for the curve in two ways, once to get y as a function of r, and a second way to get a as a function of y. (b) Is it possible to use an integral in a to compute the length of the curve in the first quadrant? What about an integral in y? Why or why not? (c) To actually compute this length, we need to break the curve down into more pieces. Verify that the points (1, 1), (0, 23/2) and (23/2,0) are all on this curve. (d) Use an integral in z to compute the length of the curve between (1, 1) and (23/2,0). (e) Use an integral in y to compute the length of the curve between (0,23/2) and (1,1). Why does it make sense that you get the same answer as the previous part?