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Find the Area of the Surface Generated by Rotating the Lemniscate

Question 110

Multiple Choice

Find the area of the surface generated by rotating the lemniscate r2 = a2 cos(2 θ\theta ) about the line θ\theta = 0.


A) 4 π\pi  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units square units
B) 2  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units π\pi  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units square units
C) 2 π\pi  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units square units
D)  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units π\pi  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units square units
E) 4  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units π\pi  Find the area of the surface generated by rotating the lemniscate r<sup>2</sup> = a<sup>2</sup> cos(2 \theta )  about the line  \theta  = 0. A)  4  \pi    square units B)  2    \pi   square units C)  2  \pi   square units D)     \pi    square units E)  4    \pi    square units square units

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