1. 2. 3. 4. Consider the following data set: 8 f(x) f'(x) -1 0 -2 0...

  

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1. 2. 3. 4. Consider the following data set: 8 f(x) f'(x) -1 0 -2 0 1 1 Find the Lagrange bases using the above data. Using the Lagrange bases found in the previous part, compute the Hermite bases. Write down the expression of the Hermite interpolating polynomial and simplify as much as possible. Use the Hermite interpolating polynomial found above to compute f (0.5) 1. 2. 3. 4. Consider the following data set: 8 f(x) f'(x) -1 0 -2 0 1 1 Find the Lagrange bases using the above data. Using the Lagrange bases found in the previous part, compute the Hermite bases. Write down the expression of the Hermite interpolating polynomial and simplify as much as possible. Use the Hermite interpolating polynomial found above to compute f (0.5)

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Ans Kagra Given lagrange basis L0 41 2 x1 21 x2 143 2 Hermite Basis fx 1 U fx 0 x1 x2 1 ... View the full answer