Using the data points, we have:

L0(0.5) = 0.375, L1(0.5) = -0.25, L2(0.5) = 0.0625.

Using Lagrange interpolation, we can write the approximate value of f(x) as:

f(x) ≈ L0(x) f(x0) + L1(x) f(x1) + L2(x) f(x2)

First Course In Numerical Methods Solution Manual Apr 2026

Using the data points, we have:

L0(0.5) = 0.375, L1(0.5) = -0.25, L2(0.5) = 0.0625. First Course In Numerical Methods Solution Manual

Using Lagrange interpolation, we can write the approximate value of f(x) as: Using the data points, we have: L0(0

f(x) ≈ L0(x) f(x0) + L1(x) f(x1) + L2(x) f(x2) Using the data points