3. Use Newton the forward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials....

q3
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Extracted text: 3. Use Newton the forward-difference formula to construct interpolating polynomials of degree one, two, and three for the following data. Approximate the specified value using each of the polynomials. f (-}) if f(-0.75) = -0.07181250, f(-0.5) = -0.02475000, f(-0.25) = 0.33493750, f(0) = 1.10100000 а. b. f(0.25) if f (0.1) = –0.62049958, f (0.2) = -0.28398668, ƒ (0.3) = 0.00660095, ƒ (0.4) = 0.24842440