= = Let (1,4,8,9) means ro 1, x = 4, 28 and 23 = 9 and...

   

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= = Let (1,4,8,9) means ro 1, x = 4, 28 and 23 = 9 and Y (1,-2,-3,-1) means yo 1, 1-2, y2-3 and ys = -1. = a/ Hat method: (i) Let x = 7.3. On which interval should we work to find p(r)? (direct answer) (ii) What is the Hat interpolant polynomial p(r) on this interval? (iii) p(7.3) = ? b/ Lagrange method: Find L(x) and L2(x). c/ Newton basis method: (i) How many vectors in the Newton basis? Find each vectors. (ii) Write the Newton interpolant polynomial p(x). (iii) p(7.3)=? ==== = = Let (1,4,8,9) means ro 1, x = 4, 28 and 23 = 9 and Y (1,-2,-3,-1) means yo 1, 1-2, y2-3 and ys = -1. = a/ Hat method: (i) Let x = 7.3. On which interval should we work to find p(r)? (direct answer) (ii) What is the Hat interpolant polynomial p(r) on this interval? (iii) p(7.3) = ? b/ Lagrange method: Find L(x) and L2(x). c/ Newton basis method: (i) How many vectors in the Newton basis? Find each vectors. (ii) Write the Newton interpolant polynomial p(x). (iii) p(7.3)=? ====