Answer: Use appropriate Lagrange interpolating polynomials of degrees one, two, and

Chapter 3, Problem 6

(choose chapter or problem)

Use appropriate Lagrange interpolating polynomials of degrees one, two, and three to approximate each ofthe following: a. /(0.43) if/(0) = 1, /(0.25) = 1.64872, /(0.5) = 2.71828, /(0.75) = 4.48169 b. /(0) if /(0.5) = 1.93750, /(-0.25) = 1.33203, /(0.25) = 0.800781, /(0.5) = 0.687500 c. /(O.I8) if /(O.I) - -0.29004986, /(0.2) = -0.56079734, /(0.3) = -0.81401972, /(0.4) = -1.0526302 d. /(0.25) if /(-I) = 0.86199480, /(-0.5) = 0.95802009, /(O) = 1.0986123, /(0.5) = 1.2943767

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