The following data is given: 2.5 3 4 5 1 7 8 1 a) Write the polynomial in Lagrange form that passes through the points, then use it to caleulate the inter- polated value of y at x 3.5. a) Write the polynomial in Newton's form that passes through the points, then use it to calculate the inter- polated value of y at x 3.5. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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The following data is given:
1
1
2.5
2
3
4
5
7
(a) Write the polynomial in Lagrange form that passes through the points, then use it to calculate the inter-
polated value of y at x 3.5.
(a) Write the polynomial in Newton's form that passes through the points, then use it to calculate the inter-
polated value of y at x 3.5.
Use 4 decimal places.
Transcribed Image Text:The following data is given: 1 1 2.5 2 3 4 5 7 (a) Write the polynomial in Lagrange form that passes through the points, then use it to calculate the inter- polated value of y at x 3.5. (a) Write the polynomial in Newton's form that passes through the points, then use it to calculate the inter- polated value of y at x 3.5. Use 4 decimal places.
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