SMA104 - Concepts of Polynomial Interpolation In Mathematics Assignment

Assignment Task

An important problem in various science and engineering application is to find a polynomial whose graph passes through a specified set of points in the plane; this is called an interpolating polynomial for the points. Interpolating polynomial help scientist and engineers to design solution to problems or understand the mechanisms of the systems they study. A key skill for quantitative data analysis involves fitting models to data. A good model can be used to predict the behaviour of the system in conditions not originally measured in experiment.

In this project the effect of temperature T (in degree celsius) on microalgae ( Dinobryon divergens ) growth rate G _r (per day) is shown in the table below.

Write the polynomial, system of equations, and the augmented matrix for the data in the table above in unknown coefficients. Explain your work in detail. (Please do not type your work, just write clearly by hand).

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