(i) Show via the definition that the B-spline N₂ is given by I
N₂(x) = {{ x 2-x 0 if x € [0, 1], if x € [1,2], otherwise.

(ii) Use this to show that (10.7) holds for m = 2.

(iii) Show that i
N3 (x) = { 1/2 x^2 if x € [0,1],
-x^2 + 3x - 3/2 if x € [1,2],
1/2x^2 - 3x + 9/2 if x € [2.3]
0 otherwise.