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2 2
B'(t)= v (1-t) + 2v (1-t)t + v t
1 2 3
2 2 2
...= v (t - 2t + 1) + 2v (t-t ) + v t
1 2 3
2 2 2
...= v t - 2v t + v + 2v t - 2v t + v t
1 1 1 2 2 3
2 2 2
...= v t - 2v t + v t - 2v t + v + 2v t
1 2 3 1 1 2
2
...= (v -2v +v )t + 2(v -v )t + v
1 2 3 2 1 1