I. In Cartesian coordinates, the volume differential is given by dV = dx dy dz. Assume that a cube of side L is centered at the origin. Show that the volume is V = 23. 2. A circle of radius a is centered in the x-v plane. In cylindrical coordinates, the circumference differential is dl = rdφ φ. Show that the circumference is C = 2na. The surface differential of the circle in problem (1) is d료 = r dr dφ Z. surface area of the circle is S = πa2. 3. Show that
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