Consider the solid region E enclosed in the first octant and under the plane 3x + 2y + 6z = 6. (a) Evaluate the volume of E using triple integrals in rectangular coordinates. Sketch the 2D graph related to the region in xy- plane. (b) Can you set up an iterated triple integral in spherical coordinates that calculates the volume of E? (c) Can you set up an iterated triple integral in cylindrical coordinates that calculates the volume of E?

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