Question: Let m(x) = 3 - (3/4)x + 0.05(x - 2.25)^3 (a) Draw the graph of the function m on the interval [0, 5] (b) Draw
Let m(x) = 3 - (3/4)x + 0.05(x - 2.25)^3 (a) Draw the graph of the function m on the interval [0, 5] (b) Draw the graph of the interpolation of function m with the formula (1) between x0 = 1/2 and x1 = 3/2, on the graph from part (a), without determining the interpolation itself. (c) Draw the graph of the derivative-based interpolation of function m with the formula (2) at x0 = 4, on the graph from part (a), without determining the interpolation itself. (d) Determine the interpolation of function m, drawn in part (b). (e) Determine the interpolation of function m, drawn in part (c). (f) Draw the interpolations found in parts (d) and (e) and compare them to the interpolations found in parts (b) and (c).
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