MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 8, Problem 30P

Measurements of the concentration, C, of a substance during a chemical reaction at different times t are shown in the table.

    t(h) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 5.0 5.5 6.0
    C(g/L) 1.7 3.1 5.7 9.1 6.4 3.7 2.8 1.6 0.8 0.7 0.6

(a) Suppose that the data can be modeled with an equation in the form:

C ( t ) = 1 a 2 t 2 + a 2 t + a 0

Determine the coefficients a0, a1, and a, such that the equation best fits the data. Use the equation to estimate the concentration at t =2 h.

Make a plot of the data points and the equation.

(b) Suppose that the data can be modeled with an equation in the form:

C ( t ) = 1 a 3 t 3 + a 2 t 2 + a 1 t + a 0

Determine the coefficients a0, a1, a2, and a3such that the equation best fits the data. Use the equation to estimate the concentration at t=2 h. Make a plot of the data points and the equation.

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MATLAB: An Introduction with Applications

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