![Let a -j for j 0,1,2. Suppose we are given the values f(0), f(1), f(2), and f(0). Find an appropriate polynomial approximation g(x) of f on [0,2], such that g(j)-r(j), j 0,1,2, and g(0)=f(0).](https://media.cheggcdn.com/media%2Fece%2Fecee1804-2cf6-47d9-a142-314d2431f465%2FphppdVMf1.png)
Let a -j for j 0,1,2. Suppose we are given the values f(0), f(1), f(2), and f”(0). Find an appropriate polynomial approximation g(x) of f on [0,2], such that g(j)-r(j), j 0,1,2, and g'(0)=f'(0). Show transcribed image text
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