BMCC FALL 2021 DEPARTMENT OF MATHEMATICS CALCULUS II MAPLE LAB PROJECT # 2 Due Date: Problem # 1 Four points on the graph of f(x) = In(x) are given: (1, 0), (3, 1.099), (6, 1.792), and (10, 2.303). a) Find a cubic polynomial g(x) which approximates the inverse function of f(x) by fitting the cubic g(x) to the points (0, 1), (1.099, 3), (1.792, 6), (2.303, 10). b) As you may know, the inverse function of In(x) is exp(x). Compose the values of g(x) and In(x) at the given values of x = 0.1, 1, 1.1, 2, 2.3, 3 and 4. c) Plot the graphs of g(x) and exp(x) in the same window for -1 s x