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 a. s=0.589 b. 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=0.859 c. s=0.895 O d. s=0.958 e. s=0.985 O f. s=1.589 =SP² Og. s=1.859 Oh. s-1.895 O i. s=1.958 s=1.985 S = 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 a. s=0.589 b. 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=0.859 c. s=0.895 O d. s=0.958 e. s=0.985 O f. s=1.589 =SP² Og. s=1.859 Oh. s-1.895 O i. s=1.958 s=1.985 S = p(x)dx
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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Transcribed Image Text: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
a. s=0.589
b.
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=0.859
c. s=0.895
O d. s=0.958
e. s=0.985
O f.
s=1.589
=SP²
Og.
s=1.859
Oh. s-1.895
O i. s=1.958
s=1.985
S =
p(x)dx
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