(a) Sketch the curve y3 = x2. (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Observe that one of these is an improper integral. (I) L = b 1 + dy dx 2 dx a (II) L = d 1 + dx dy 2 dy c L = 1 √1+ 4 9x−(( 2 3)) dx 0 = 1.4397 L = 1 √1+ 9 4y dy 0 = 1.4397 (c) Find the length of the arc of this curve from (−27, 9) to (8, 4).