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The Lemniscate Motion Occurs Naturally in the Flapping of Birds θ\theta

Question 36

Multiple Choice

The lemniscate motion occurs naturally in the flapping of birds' wings. The bird's vertical lift and wing sweep create the distinctive figure-eight pattern. The patterns vary with the different wing profiles. Compare the two possbile lemniscate patterns by graphing them on the same polar graph: r2 = cos 2 θ\theta and r2 = cos (2 θ\theta + 2) .


A)  The lemniscate motion occurs naturally in the flapping of birds' wings. The bird's vertical lift and wing sweep create the distinctive figure-eight pattern. The patterns vary with the different wing profiles. Compare the two possbile lemniscate patterns by graphing them on the same polar graph: r<sup>2</sup> = cos 2 \theta  and r<sup>2</sup> = cos (2 \theta  + 2) . A)    B)    C)    D)
B)  The lemniscate motion occurs naturally in the flapping of birds' wings. The bird's vertical lift and wing sweep create the distinctive figure-eight pattern. The patterns vary with the different wing profiles. Compare the two possbile lemniscate patterns by graphing them on the same polar graph: r<sup>2</sup> = cos 2 \theta  and r<sup>2</sup> = cos (2 \theta  + 2) . A)    B)    C)    D)
C)  The lemniscate motion occurs naturally in the flapping of birds' wings. The bird's vertical lift and wing sweep create the distinctive figure-eight pattern. The patterns vary with the different wing profiles. Compare the two possbile lemniscate patterns by graphing them on the same polar graph: r<sup>2</sup> = cos 2 \theta  and r<sup>2</sup> = cos (2 \theta  + 2) . A)    B)    C)    D)
D)  The lemniscate motion occurs naturally in the flapping of birds' wings. The bird's vertical lift and wing sweep create the distinctive figure-eight pattern. The patterns vary with the different wing profiles. Compare the two possbile lemniscate patterns by graphing them on the same polar graph: r<sup>2</sup> = cos 2 \theta  and r<sup>2</sup> = cos (2 \theta  + 2) . A)    B)    C)    D)

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