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Consider the function f(x)=exp(x). Let p=P₁ be the interpolation polynomial for the data x=(0,1) and y=(exp(0),exp(1)). Determine the value = 1² O a. s=0.589 O b. s=0.859 O c. s=0.895 O d. s 0.958 O e. s=0.985 O f. s-1.589 O g. s=1.859 Oh. s-1.895 O i. O j. S = up to three decimal places. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value. s=1.958 s=1.985 p(x)dx

Consider the function f(x)=exp(x). Let p=P₁ be the interpolation polynomial for the data x=(0,1) and y=(exp(0),exp(1)). Determine the value = 1² O a. s=0.589 O b. s=0.859 O c. s=0.895 O d. s 0.958 O e. s=0.985 O f. s-1.589 O g. s=1.859 Oh. s-1.895 O i. O j. S = up to three decimal places. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value. s=1.958 s=1.985 p(x)dx

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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Consider the function f(x)=exp(x). Let pe P₁ be the interpolation polynomial for the data x=(0,1) and y=(exp(0),exp(1)). Determine the value 1 O a. s=0.589 O b. s=0.859 c. s=0.895 O d. s 0.958 e. s=0.985 O f. s=1.589 g. s=1.859 h. s=1.895 up to three decimal places. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value. O i. O j. S := s=1.958 s=1.985 S p(x)dx
Transcribed Image Text:Consider the function f(x)=exp(x). Let pe P₁ be the interpolation polynomial for the data x=(0,1) and y=(exp(0),exp(1)). Determine the value 1 O a. s=0.589 O b. s=0.859 c. s=0.895 O d. s 0.958 e. s=0.985 O f. s=1.589 g. s=1.859 h. s=1.895 up to three decimal places. Hint: You can compute the desired value brute force. Alternatively, you can go back to the lecture notes and identify where this construction occurs, and which simple formula gives the desired value. O i. O j. S := s=1.958 s=1.985 S p(x)dx
Expert Solution
Step 1

Let P1 be the interpolating polynomial for the data (0,1) and (e0,e1).

To Find: ∫01P1(x)dx    using interpolating polynomial and choose the correct option.

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