Example 7.4. Using Newton's backward difference formula, construct an interpolating polynomial of degree 3 for the data : f(-0.75) = -0.0718125, f(-0.5) = -0.02475, f(-0.25) = 0.3349375, f(0) = 1.10100. Hence find f(-1/3). 718125, f(-0.5) (Anna, B.Tech., 2003)

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