Question: The surface shown in the figure is called a Mbius strip and can be represented by the parametric equations where -1 u 1,

The surface shown in the figure is called a Möbius strip and can be represented by the parametric equations

= (a + X = a + u cos u cos =

where -1 ≤ u ≤ 1, 0 ≤ v ≤ 2π, and a = 3. Try to graph other Möbius strips for different values of a using a computer algebra system.

(a + Cos V, y = + u cos sin v, z

= (a + X = a + u cos u cos = (a + Cos V, y = + u cos sin v, z = u sin-

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