For a function f, the Newton's interpolatory divided-difference formula gives the interpolating polynomial P,(x) =1+4x+4x(x-a) + x(x- a)(x-b) on the nodes x, = 0, x, = 0.25,x, = 0.5 and x, = 0.75. Find value of a and b. Hence, find f(0.75). %3D
For a function f, the Newton's interpolatory divided-difference formula gives the interpolating polynomial P,(x) =1+4x+4x(x-a) + x(x- a)(x-b) on the nodes x, = 0, x, = 0.25,x, = 0.5 and x, = 0.75. Find value of a and b. Hence, find f(0.75). %3D
Chapter5: Polynomial And Rational Functions
Section5.3: Graphs Of Polynomial Functions
Problem 25SE: For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial...
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