Question: 2. Consider the function y = 2(z + sin(z)). (a) Sketch this function in the yzplane for 0 S 2 S 271', labeling at least

2. Consider the function y = 2(z + sin(z)). (a) Sketch this function in the yzplane for 0 S 2 S 271', labeling at least four reference points along the curve. (b) This curve is now rotated around the z-axis. Sketch the resulting surface by hand (using circular traces where appropriate), and nd an equation for the surface. (c) Consider the volume inside this surface and bounded by the planes 2 : 0 and z 2 2w. Write a set of inequalities to describe this volume in the simplest coordinate system (i.e. the one that gives the simplest set of inequalities)

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