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I don't have any idea how to solve these questions ?

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  1. randomly generate five (5) control vertices in a two-dimensional region delimited by (−20 ≤ 𝑋 ≤ 20) and (−20 ≤ 𝑌 ≤ 20) and null boundary conditions.
  2. reate the code that automatically generates a Bezier Curve defined by the same control vertices in part 1.
  3. write the code that creates a B-Spline Curve of curve order 4 defined by the control vertices and automatically obtains the curve equation using a set of non-uniform, non- periodic knots of your choice
  4. reates a NURBS Curve of curve order 4 defined by the control vertices and automatically obtains the curve equation using the same knot values in 3using a set of homogeneous coordinates hi which randomly vary between (0.2 ≤ h𝑖 ≤ 5.0).

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