Question: Do the following tasks using Mathematica. The parametric equations of a cycloid are: x = a(0 - sin 0), y = a(1- cos 0).

Do the following tasks using Mathematica. The parametric equations of a cycloid are: x = a(0 - sin 0), y = a(1- cos 0). (a) Plot the curve, for 0 0 6 and a = 1. (b) Find the exact length of the curve, for 0 0 6 and a = 1. DO NOT use ArcLength. (c) Graph the region between the surfaces z = exp(-x) cos(x + y) and z = 2x - y for |x|, |y| 1. Approximate the volume of this region correct to four decimal places.

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