Webhere is the succession of Left and Right values produced by the binary search method: Left Right mid 1 10 5 5 10 7 5 7 6 6 7 - Roughly log2(n) comparisons are required to locate the appropriate subinterval. If n is large, then this is much more eο¬cient than the sum(x Web-degree Lagrange Interpolating Polynomial Goal: construct a polynomial of degree 2 passing 3 data points π₯π₯ 0,π¦π¦ 0, π₯π₯ 1,π¦π¦ 1, π₯π₯ 2,π¦π¦ 2. Step 1: construct a set of basis polynomial s πΏπΏ 2,ππ π₯π₯, ππ= 0,1,2 satisfying πΏπΏ 2,ππ π₯π₯ ππ = 1, whenππ= ππ
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