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Suppose that we want to find a polynomial function g(t) = 1 + rat + rat + rat with parameters 21, 72. c3, 24 such that the following conditions are satisfied. . Given three distinct points (1, t2, ty in the interval [0, 1], we have g(ti) = yi, i= 1,2,3, where y; are given. . The derivative of g at t =0 and { = 1 is small: g'(0) =0, g'(1) =0. (a) Express the above problem as a regularized least squares problem minimize JAz - b|3+ p|Rx| |2