(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 . [ Hint: Take as parameters the angles θand αshown in the figure.] (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. | Numerade
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