QUESTION 2. Consider the four equidistant data pointa (1,0.022), (1.2.0.0345). (1.4.0.11478), (1.6-0.356) where each poi

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Question 2 Consider The Four Equidistant Data Pointa 1 0 022 1 2 0 0345 1 4 0 11478 1 6 0 356 Where Each Poi 1 (18.4 KiB) Viewed 38 times

QUESTION 2. Consider the four equidistant data pointa (1,0.022), (1.2.0.0345). (1.4.0.11478), (1.6-0.356) where each point is in the form (r.. f.), with ff(r) for some unknown function /. a) Use the Newton-Gregory forward difference formals to estimate the value of fatz-15 Moreover, if 0.25 ≤ ≤ 0.7 for t 1.1.6), give bounds for the error in your estimate of f(1.5). 5 b) Use the last three points to construct both a linear spline and a cubic spline (with natural endpoints). Estimate the value of each spline at z1,5,