(a) Use Formula 10 2 6 to show that the area of the surface generated by rotating the polar curve r f ( Icirc cedil ), a curren Icirc cedil curren b (Where f is continuous and 0 curren a (b) Use the formula in part (a) to find the surface area generated by rotating the lemniscate r2 cos 2 Icirc cedil about the polar axis dr

Question: (a) Use Formula 10.2.6 to show that the area of the surface generated by rotating the polar curve r = f (Î¸), a ¤ Î¸

(a) Use Formula 10.2.6 to show that the area of the surface generated by rotating the polar curve
r = f (Î¸), a ‰¤ Î¸ ‰¤ b
(Where f is continuous and 0 ‰¤ a

(b) Use the formula in part (a) to find the surface area generated by rotating the lemniscate r2 = cos 2Î¸ about the polar axis.

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