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Homework # 6: due on Oct. 21, 20191. For the given functionf(x) = cos(x), letx0= 0, x1= 0.25, andx2= 0.5.Constructinterpolation polynomials of degree at most one and at most two to approximatef(0.15) andfind the actual error for each approximation. How many different interpolation polynomialsof degree at most one can be constructed for approximatingf(0.15)?