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The following table is obtained from the function f=1-x+x³ ↑ X 0.0 f 1.0 0.1 0.9010 0.4 0.2 0.8080 0.3 0.7270 0.6640 0.5 0.6250 0.6 0.6160 0.6430 0.7 0.8 0.7120 a. Find f (0.38), using second-degree Lagrange Interpolating polynomial. Find the actual error and estimated minimum and maximum errors. b. Find f (0.38) using 2nd degree Newton Polynomial. Set difference table using relevant points. up divided c. Find f' (0.4), Use central difference and Richardson's extrapolation to find answer with an error &=0(0.16). (Do not find the error)

The following table is obtained from the function f=1-x+x³ ↑ X 0.0 f 1.0 0.1 0.9010 0.4 0.2 0.8080 0.3 0.7270 0.6640 0.5 0.6250 0.6 0.6160 0.6430 0.7 0.8 0.7120 a. Find f (0.38), using second-degree Lagrange Interpolating polynomial. Find the actual error and estimated minimum and maximum errors. b. Find f (0.38) using 2nd degree Newton Polynomial. Set difference table using relevant points. up divided c. Find f' (0.4), Use central difference and Richardson's extrapolation to find answer with an error &=0(0.16). (Do not find the error)

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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%) 6) The following table is obtained from the function f=1-x+x³ ↑ X 0.0 f 1.0 0.1 0.9010 0.2 0.8080 0.3 0.7270 0.4 0.6640 0.5 0.6250 0.6 0.6430 0.6160 0.7 0.8 0.7120 a. Find f (0.38), using second-degree Lagrange Interpolating polynomial. Find the actual error and estimated minimum and maximum errors. b. Find f (0.38) using 2nd degree Newton Polynomial. Set up divided difference table using relevant points. c. Find f' (0.4), Use central difference and Richardson's extrapolation to find answer with an error &=0(0.16). (Do not find the error) 0.8 d. Find f(x)dx; Use Composite Trapezoidal rule. Find the actual, 0.0 minimum, and maximum errors. 0.8 e. Find f(x)dx. Use Simpson's 1/3 rule. 0.0 00+ 5
Transcribed Image Text:%) 6) The following table is obtained from the function f=1-x+x³ ↑ X 0.0 f 1.0 0.1 0.9010 0.2 0.8080 0.3 0.7270 0.4 0.6640 0.5 0.6250 0.6 0.6430 0.6160 0.7 0.8 0.7120 a. Find f (0.38), using second-degree Lagrange Interpolating polynomial. Find the actual error and estimated minimum and maximum errors. b. Find f (0.38) using 2nd degree Newton Polynomial. Set up divided difference table using relevant points. c. Find f' (0.4), Use central difference and Richardson's extrapolation to find answer with an error &=0(0.16). (Do not find the error) 0.8 d. Find f(x)dx; Use Composite Trapezoidal rule. Find the actual, 0.0 minimum, and maximum errors. 0.8 e. Find f(x)dx. Use Simpson's 1/3 rule. 0.0 00+ 5
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