![SOLVED: Lagrange Polynomial Study Questions Example: For the given function f(x) = sin(3x), an input-output table is provided as below: Find the second-order Lagrange interpolating polynomial for f(x) using the input-output table. SOLVED: Lagrange Polynomial Study Questions Example: For the given function f(x) = sin(3x), an input-output table is provided as below: Find the second-order Lagrange interpolating polynomial for f(x) using the input-output table.](https://cdn.numerade.com/ask_images/eb60b19bec554deca3f3feecb76e88dd.jpg)
SOLVED: Lagrange Polynomial Study Questions Example: For the given function f(x) = sin(3x), an input-output table is provided as below: Find the second-order Lagrange interpolating polynomial for f(x) using the input-output table.
![Using Lagrange's interpolation formula, fit a polynomial which passes through the points (−1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y when 𝑥 = 2.2 Using Lagrange's interpolation formula, fit a polynomial which passes through the points (−1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y when 𝑥 = 2.2](https://vtuupdates.com/wp-content/uploads/2022/09/image-41.png)
Using Lagrange's interpolation formula, fit a polynomial which passes through the points (−1, 0), (1, 2), (2, 9) and (3, 8) and hence estimate the value of y when 𝑥 = 2.2
MathType - Lagrange's Interpolation Formula was independently derived in 1779 by Waring and in 1795 by Lagrange. Upon closer inspection the formula is simpler than it seems but it has been of
![MathType on X: "Lagrange's interpolation formula was independently discovered in 1779 by Waring and in 1795 by Lagrange. At first sight it might look obvious but it has been of tremendous use MathType on X: "Lagrange's interpolation formula was independently discovered in 1779 by Waring and in 1795 by Lagrange. At first sight it might look obvious but it has been of tremendous use](https://pbs.twimg.com/media/Dp5HoRcX0AAozRx.jpg)
MathType on X: "Lagrange's interpolation formula was independently discovered in 1779 by Waring and in 1795 by Lagrange. At first sight it might look obvious but it has been of tremendous use
![PPT - SE301: Numerical Methods Topic 5: Interpolation Lectures 20-22: PowerPoint Presentation - ID:5211616 PPT - SE301: Numerical Methods Topic 5: Interpolation Lectures 20-22: PowerPoint Presentation - ID:5211616](https://image2.slideserve.com/5211616/lagrange-interpolation-l.jpg)