Find the Surface Area of the Torus Shown below with Radii R and R - Search Videos

(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

(a) Find a parametric representation for the torus obtained by rotating …

SOLVED:Find the surface area of the torus in Exercise 6.2.63. | Numerade

SOLVED:Find the surface area of the torus in Exercise 6.2.63. | Num…

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SOLVED:The figure shows the torus obtained by rotating about the z-axis the circle in the x z -plane with center (b, 0,0) and radius a<b . Parametric equations for the torus are x=b cosθ+a cosαcosθ y=b sinθ+a cosαsinθ z=a sinα where θand αare the angles shown in the figure. Find the surface area of the torus. (FIGURE CANNOT COPY)

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