Advanced Math Bezier Curve Problem (DO not need to draw it on Software if you do

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Advanced Math Bezier Curve Problem

(DO not need to draw it on Software if you do not know how to do it.)

Just do MATH part of it as BEST as you can.

I attached class notes after question, and I attached PDF ebook (textbook) link here:

http://www2.math.umd.edu/~wmg/Marsh.pdf

000o 2. A cubic Bézier curve B(t) is given by the control points (0,0), (10, 20), (30, 10), (10, 0) (a) Use the de Casteljau algorithm to evaluate the point B(1/3) b) Write down the control points defining the two Bezier curves, Bic(t) and Brighe(t) resulting from subdividing B(t) att-1/3. c) Draw the curves B(t), Ba(t) and Bright() using Rhino, and include pictures in your writeup showing that the union of BieA (t) and h)is B(t). In order to do this, you can use the Curve Free-form Control Points command. If you use four points, then this gives a cubic Bézier curve. Use Edit Control Points Control Points On to show the control points for the curve.

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