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Suppose the function f() = cos(4x) is approximated over the interval 0 2. The blue curve is the underlying function and the red curve is the piecewise linear interpolation polynomial for the value of h given by the formula in the answer to (a). N= BOD (c) Use the polynomial interpolation error theorem to write down an exact expression for the error ej(x) = f(x) P1 (2) on the subinterval ; SX 533+1. Assume that t is a variable in the interval ; t ; T. (i) The maximum value of ||(x -