Write & explain the terms used in Bernstein Polynomial and form equations of the

Bezier Curve for $-$

a$)$ n $=2,$

b$)$ n $=3.$

Also, form the Blending Functions in matrix for

c$)$ Find the equation of tangents of Bezier Curve.

$1.$ n $=2$

$2.$ n $=3$

Find the tangent equations at t $=0$ & t $=1.$ Compare the equation obtained for n $=3$

with cubic Hermite curve.

d$)$ What will happen, when number of points to describe a Bezier curve is three for

its initial case and goes until ten? Plot the blending functions for those eight cases. $($Code and Plot$)$