Question

Bn (x? x) for all (part d) Find an analytic expression for B nezt, and all x 6 [0,1]. (10 pts?

Bn is the Bernstein Polynomial

I need clear direct steps on how to approach this answer .

thx a lot

Answer 1

si į l (R) 34 (1-2) ok 2 (( :') x4 (-)* Now (6) * k *2_2***** &2_2k+1+2k-1 K²2k + 2K-1 (k-1) ² 2K-1 n2 n2 - (k-1)2 (0-1)2 + 2K-1 10-12 12 12 Putting (x 2 Value above we get 212 sa loob content (: 1)*(1-7) * * *2) L : KAI M..) ( 1-2 , mixt] Kel 1 Therefore K-2 K-1 agan kisha K 2+ +1 K -2 n-1 (K-2)(0-2) + (1-2) (0-1)

tab Q W caps lock Putting n -2 C3 Multiplying we get | 1 ( + 8 1 x+) - ), 1 nh), thì , 2(0-1) 22 + 22 D2 a D2 2 12 93(0-1) (-2) 382 (0:1) Unit