Solution Found!
Answer: Use appropriate Lagrange interpolating polynomials of degrees one, two, and
Chapter 3, Problem 5(choose chapter or problem)
Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate each ofthe following: a. /(8.4) if/(8.1) = 16.94410, /(8.3) = 17.56492, /(8.6) = 18.50515, /(8.7) = 18.82091 b. /(-f) if /(0.75) = -0.07181250, /(-0.5) = -0.02475000, /(-0.25) = 0.33493750, /(0) = 1.10100000 c. /(0.25) if /(0.1) = 0.62049958, /(0.2) = -0.28398668, /(0.3) = 0.00660095, /(0.4) = 0.24842440 d. /(0.9) if/(0.6) = -0.17694460, /(0.7) = 0.01375227, /(0.8) = 0.22363362, /(1.0) = 0.65809197
Questions & Answers
QUESTION:
Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate each ofthe following: a. /(8.4) if/(8.1) = 16.94410, /(8.3) = 17.56492, /(8.6) = 18.50515, /(8.7) = 18.82091 b. /(-f) if /(0.75) = -0.07181250, /(-0.5) = -0.02475000, /(-0.25) = 0.33493750, /(0) = 1.10100000 c. /(0.25) if /(0.1) = 0.62049958, /(0.2) = -0.28398668, /(0.3) = 0.00660095, /(0.4) = 0.24842440 d. /(0.9) if/(0.6) = -0.17694460, /(0.7) = 0.01375227, /(0.8) = 0.22363362, /(1.0) = 0.65809197
ANSWER:Step 1 of 6
To construct interpolation polynomial of degree two consider all the three nodal points
i.e. 
Then 
