Q$2)$ USE MATLAB, PLEASE MAKE CODE COPYABLE

Integrating real data

The temperature in $"F$ along a metal bar has been measured and the results tabulated in Table $1$

where $x$ is the distance from the left end of the bar in meters. Note that due to test limitations$,$

the data was not collected at evenly spaced intervals.

Table $1$: Measured temperature data of $5m$ bar

a$)$ The theoretical temperature is given by $T(x)=4x^2+3x-7$ Plot the theoretical

temperature as a smooth blue line and the measured data from the table $($red asterisk$)$ in a

single plot.

b$)$ Use one of the integration techniques we have studied to estimate the integral of the data.

Display the result using an fprinte statement with $4$ digits to the right of the decimal

point.

c$)$ Calculate the magnitude of the true percent relative error. The true value is the integral of

the theoretical temperature function. Display the result using an fprint statement with

$2$ digits to the right of the decimal point.