Problem $3$

In the assignment on Canvas, find a data set of measured temperatures $T$ in Kelvin measured every $5$ seconds over the time interval $0st50s.$ The data is stored in the file $T.$ mat and can be read in a Matlab script by the command load $(\text{'}T.$ mat'$).$ Calculate the temperature change $d\frac{T}{d}t$ at all measurement times $t$ with second order accuracy, and graph a cubic spline interpolation of $d\frac{T}{d}t(t)$ for $0st50s$ as a line, together with the approximated $d\frac{T}{d}t$ at the measurement times as symbols.

Required submission:

printout of well annotated requested graph;

printout of script $($and any potential additional functions not submitted on Matlab Grader$)$ used to solve this problem in the Gradescope submission