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your calculations.) Construct the Lagrange interpolating polynomial L3(x) = yolo(x) + yılı (x) + y2l2(x) + y3l3(x), for the function given in the table \(æ\) \(11\) \(21\) \(y\) \(2\) \(3\) \(31\) \(41\) \(5\) \(6\) The polynomial l2(x) is Select one: O a. (x – 11)(x – 21)(x – 31) (41 – 11)(41 – 21)(41 – 31) O b.

your calculations.) Construct the Lagrange interpolating polynomial L3(x) = yolo(x) + yılı (x) + y2l2(x) + y3l3(x), for the function given in the table \(æ\) \(11\) \(21\) \(y\) \(2\) \(3\) \(31\) \(41\) \(5\) \(6\) The polynomial l2(x) is Select one: O a. (x – 11)(x – 21)(x – 31) (41 – 11)(41 – 21)(41 – 31) O b.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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## Lagrange Interpolating Polynomial **(There are 5 questions connected with this problem. Please keep your calculations.)** ### Task Construct the Lagrange interpolating polynomial \[ L_3(x) = y_0 l_0(x) + y_1 l_1(x) + y_2 l_2(x) + y_3 l_3(x), \] for the function given in the table: \[ \begin{array}{ccccc} x & 11 & 21 & 31 & 41 \\ y & 2 & 3 & 5 & 6 \\ \end{array} \] ### Problem The polynomial \( l_2(x) \) is **Select one:** - a. \(\frac{(x - 11)(x - 21)(x - 31)}{(41 - 11)(41 - 21)(41 - 31)}\) - b. - c. (Note: Options b and c are not shown in the image.)
Transcribed Image Text:## Lagrange Interpolating Polynomial **(There are 5 questions connected with this problem. Please keep your calculations.)** ### Task Construct the Lagrange interpolating polynomial \[ L_3(x) = y_0 l_0(x) + y_1 l_1(x) + y_2 l_2(x) + y_3 l_3(x), \] for the function given in the table: \[ \begin{array}{ccccc} x & 11 & 21 & 31 & 41 \\ y & 2 & 3 & 5 & 6 \\ \end{array} \] ### Problem The polynomial \( l_2(x) \) is **Select one:** - a. \(\frac{(x - 11)(x - 21)(x - 31)}{(41 - 11)(41 - 21)(41 - 31)}\) - b. - c. (Note: Options b and c are not shown in the image.)
The polynomial \( l_2(x) \) is Select one: - a. \(\frac{(x - 11)(x - 21)(x - 31)}{(41 - 11)(41 - 21)(41 - 31)}\) - b. \(\frac{(x - 11)(x - 21)(x - 41)}{(31 - 11)(31 - 21)(31 - 41)}\) - c. \(\frac{(x - 11)(x - 31)(x - 41)}{(21 - 11)(21 - 31)(21 - 41)}\) - d. \(\frac{(x - 21)(x - 31)(x - 41)}{(11 - 21)(11 - 31)(11 - 41)}\)
Transcribed Image Text:The polynomial \( l_2(x) \) is Select one: - a. \(\frac{(x - 11)(x - 21)(x - 31)}{(41 - 11)(41 - 21)(41 - 31)}\) - b. \(\frac{(x - 11)(x - 21)(x - 41)}{(31 - 11)(31 - 21)(31 - 41)}\) - c. \(\frac{(x - 11)(x - 31)(x - 41)}{(21 - 11)(21 - 31)(21 - 41)}\) - d. \(\frac{(x - 21)(x - 31)(x - 41)}{(11 - 21)(11 - 31)(11 - 41)}\)
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