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Determine the Bezier Curve equation and plot it

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Determine the Bezier curve of order 3 that approximates a quarter circle centered at (0,0), (1,0), (0,1).

a) Calculate the coordinate of the middle point on the Bezier curve and on the arc and compare them (I have already calculated the midpoint of the arc which is 0.5, 0.5 and the Bezier curve is supposed to be about the same but need help finding that midpoint using the Bezier equation. See attached file for the equation of a Bezier curve).

b) Plot both curves (Excel is preferred)

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https://brainmass.com/engineering/mechanical-engineering/determine-the-bezier-curve-equation-and-plot-it-51515

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