a. Justify each equal sign:

b. Show that r2 is the midpoint of the segment from p₂ to p₃.c. Justify each equal sign: 3.(r₁ – r₀) = z'(0) = .5x'(.5).d. Use part (c) to show that 8r₁ = –p₀ – p₁ + p₂ + p₃ + 8r₀.e. Use part (d), equation (8), and part (a) to show that r₁ is the midpoint of the segment from r₂ to the midpoint of the segment from p₁ to p₂. That is, 

Transcribed Image Text:

3(r3r₂) = z'(1) = .5x (1) = (P3 - P₂).