Growth data of a sunflower plant is given in the following table: Week 5 7 9 | 11 1 Height (cm) 3 13 22 51 127 202 227 248 252 (a) Curve-fit the data with a third-order polynomial. Use the polynomial to estimate the height in week 6. (b) Fit the data with linear and spline interpolations and use each interpola- tion to estimate the height in week 6. In each part make a plot of the data points (circle markers) and the fitted curve or the interpolated curves. Note that part (b) has two interpolation curves.

Growth data of a sunflower plant is given in the following table: Week 5 7 9 | 11 1 Height (cm) 3 13 22 51 127 202 227 248 252 (a) Curve-fit the data with a third-order polynomial. Use the polynomial to estimate the height in week 6. (b) Fit the data with linear and spline interpolations and use each interpola- tion to estimate the height in week 6. In each part make a plot of the data points (circle markers) and the fitted curve or the interpolated curves. Note that part (b) has two interpolation curves.

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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