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Which parameter can be used to specify the number of sample points in each direction while using the function plot3dplot3d in SageMath?

Question

Which parameter can be used to specify the number of sample points in each direction while using the function plot3dplot3d in SageMath?

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Solution

The parameter that can be used to specify the number of sample points in each direction while using the function plot3d in SageMath is 'plot_points'. This parameter takes an integer value that determines the number of points to be sampled in each direction.

Here is a step by step guide on how to use it:

  1. First, define the function you want to plot. For example, let's plot a simple function like f(x, y) = x^2 + y^2. In SageMath, you would write this as:
f(x, y) = x^2 + y^2
  1. Next, use the plot3d function to plot this function. The first two arguments to plot3d are the function to be plotted and the range of x and y values to be used. The 'plot_points' parameter can be added to specify the number of sample points in each direction. For example:
plot3d(f, (x, -10, 10), (y, -10, 10), plot_points=100)

In this example, the function f will be plotted for x and y values ranging from -10 to 10, and 100 points will be sampled in each direction.

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