Repeat Exercise 1 using cubic Bézier polynomials.
In Exercise 1
Let (x0, y0) = (0, 0) and (x1, y1) = (5, 2) be the endpoints of a curve. Use the given guidepoints to construct parametric cubic Hermite approximations (x(t), y(t)) to the curve, and graph the approximations.
a. (1, 1) and (6, 1)
b. (0.5, 0.5) and (5.5, 1.5)
c. (1, 1) and (6, 3)
d. (2, 2) and (7, 0)