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Which of these parameters can be used in the function revolution_plot3drevolution_plot3d to specify the angle in which the curve is to be revolved

Question

Which of these parameters can be used in the function revolution_plot3d to specify the angle in which the curve is to be revolved?

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Solution

The function revolution_plot3d in SageMath allows you to create a 3D plot of a curve revolved around an axis. To specify the angle in which the curve is to be revolved, you can use the revolutions parameter. This parameter takes a value between 0 and 1, where 1 corresponds to a full revolution (360 degrees) and 0.5 corresponds to a half revolution (180 degrees), and so on.

Here is an example of how to use it:

f = lambda x: sin(x)
p = revolution_plot3d(f, (x,0,2*pi), revolutions=0.5)
p.show()

In this example, the sin(x) function is revolved around the x-axis, but only for half a revolution (180 degrees).

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