7. a) Use the appropriate Lagrange interpolating polynomial of degree two P,(x) to approximate f(0.22) if f(0.1)=0.665; f(0.2)=0.8; f(0.3)=1.8; and f(0.4)=0.25. b) Suppose we know that | f³(x)| < 5 on the interval contains 0.1, 0.2, 0.3, and 0.4. What is the error |f(0.22) – P;(0.22)| made by the interpolation?

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