URGENT NEED THIS IS 30 MINUTES FOR MY FINALS 2. Formulate that the Lagrange interpolation polynomial that passes through
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URGENT NEED THIS IS 30 MINUTES FOR MY FINALS 2. Formulate that the Lagrange interpolation polynomial that passes through
URGENT NEED THIS IS 30 MINUTES FOR MY FINALS 2. Formulate that the Lagrange interpolation polynomial that passes through points (0,−3),(1,4) and (2,15) is 2x2+5x−3. (4 marks) 3. Can a Lagrange interpolation polynomial be constructed from the following data? Give your reason. (2 marks) 4. Give two reasons why numerical approximation is probably required for function differentiation. (2 marks) 5. Express the derivation of the centered difference formula using Taylor Series expansion. f′(x)≈2hf(x+h)−f(x−h) (4 marks) 6. Consider that Romberg integration is used to approximate ∫011+x3x2dx If R11=0.250 and R22=0.235, compute R21.
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