Question: (a) Find a parametric representation for the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and

(a) Find a parametric representation for the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b.

(b) Use the parametric equations found in part (a) to graph the torus for several values of a and b.
(c) Use the parametric representation from part (a) to find the surface area of the torus. ZA (х, у, 2) y (b, 0, 0)

ZA (, , 2) y (b, 0, 0)

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