3. Consider the 'pringle' surface S (see Figure 1) which is part of the graph z=ry inside the cylinder x² + y² = 2. Let C be the boundary of S, counterclockwisely oriented when viewed from above. (a) Set up, but do not evaluate, a definite integral that com- putes the line integral 2² ds. (b) Find the surface area of S. (c) Use Stokes' Theorem to evaluate (2³+ y) dr-2rydy + (1 + sin(2¹0)) dz. Figure 1. Pringle surface

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