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Problem 7.1. Consider the graph of function f(x) = sin x over inter- val [0,]. a) Use two points (0,0) and (, 1) to construct a Lagrange linear interpolation polynomial P(x). Use this polynomial to approx- imate sin () and find the upper bound for the error in this approximation. b) Use two points (,) and (3) to construct a Lagrange linear interpolation polynomial P1(x). Use this polynomial to approx- imate sin () and find the upper bound for the error in this approximation.