Suppose the function f(x) = 2 sin (1) 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= (c) Use the polynomial interpolation error theorem to write down an exact expression for the error 1 () = f(1) - P1() on the subinterval I; SI513+1. Assume that t is a variable in the interval x; 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= (c) Use the polynomial interpolation error theorem to write down an exact expression for the error 1 () = f(1) - P1() on the subinterval I; SI513+1. Assume that t is a variable in the interval x;