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Temperature data (T) was measured at different distances (x) along a reactor. The data points are displayed below Temperature Data x2 2.1 2.2 2.7 3 3.4 T67.75210.256 36.576 66 125.168 First, use Newton Interpolating polynomials to determine T at x=2.5. Make sure that you order your points to attain the most accurate results. Based on your results, determine the order of the polynomial, and the final T value based on first, second, third, and fourth-order interpolation. Second, use the third-order Lagrange interpolating polynomial to determine T at x=2.5 Answer: 1st Order 2nd Order 3rd Order = 4th Order %3D Lagrange %3D

Temperature data (T) was measured at different distances (x) along a reactor. The data points are displayed below Temperature Data x2 2.1 2.2 2.7 3 3.4 T67.75210.256 36.576 66 125.168 First, use Newton Interpolating polynomials to determine T at x=2.5. Make sure that you order your points to attain the most accurate results. Based on your results, determine the order of the polynomial, and the final T value based on first, second, third, and fourth-order interpolation. Second, use the third-order Lagrange interpolating polynomial to determine T at x=2.5 Answer: 1st Order 2nd Order 3rd Order = 4th Order %3D Lagrange %3D

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Temperature data (T) was measured at different distances (x) along a reactor. The data points are displayed below Temperature Data x 22.1 2.2 2.7 3 3.4 T67.75210.256 36.576 66 125.168 First, use Newton Interpolating polynomials to determine T at x=2.5. Make sure that you order your points to attain the most accurate results. Based on your results, determine the order of the polynomial, and the final T value based on first, second, third, and fourth-order interpolation. Second, use the third-order Lagrange interpolating polynomial to determine T at x=2.5 Answer: 1st Order = 2nd Order 3rd Order = 4th Order = Lagrange
Transcribed Image Text:Temperature data (T) was measured at different distances (x) along a reactor. The data points are displayed below Temperature Data x 22.1 2.2 2.7 3 3.4 T67.75210.256 36.576 66 125.168 First, use Newton Interpolating polynomials to determine T at x=2.5. Make sure that you order your points to attain the most accurate results. Based on your results, determine the order of the polynomial, and the final T value based on first, second, third, and fourth-order interpolation. Second, use the third-order Lagrange interpolating polynomial to determine T at x=2.5 Answer: 1st Order = 2nd Order 3rd Order = 4th Order = Lagrange
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