Use Matlab to manually input the data for force vs$.$ displacement of a spring from the table entitled Spring on the next page. Determine the spring constant using a first order fit. Create a plot with discrete symbols for the data and a line for the best$-$fit line that does not extend past the range over which the fit was performed. On the plot, list the spring constant as k $=$ xxx$.$xx $($N$/$mm$)$ on the plot using no more than four significant figures $($k $=$ num$2$str$($variablename$,4)$ will convert the number to a character string with four digits. The position of the decimal point in xx$.$xx could move but there should be no more than four significant digits.$)2.$Use Matlab to read in the Excel file entitled thixo.xlsx using xlsread$($thixo$.$xlsx$).$ This is viscosity$-$shear strain rate data for a thixotropic $($shear thinning$)$ fluid. Fit the data to the power law equation to determine the constants in the equation. a$.$Use the fit command demonstrated for exponential fits but use power$1$ instead of exp$1.$ Using this feature is required.b$.$Create a log$-$log plot $($ loglog$($x$,$y$,$o$))$ of the viscosity vs$.$ shear strain rate data using circular symbols, show the fit line $($using a dashed line$),$ show the fit constants, with units, on the plot to $4$ significant figures and the symbolic equation, Use the Greek symbols in the axes labels. The units of strain rate are s$-1$ and the viscosity is in Poise $(=0\mathrm{.}1$ Pa$-$s$).$ Use the code $(\text{'}$$$\backslash$dot$\{\backslash$gamma$\}$$$\text{'},$'Interpreter','Latex$)$ for the shear strain rate$\mathrm{.}3.$Use Matlab to read in the voltage vs$.$ time file, longtube.mat, and process it to find the beginning of the event. In the program, use the function, peakfinder.m$,$ to identify the peaks $($it must be in the same directory as your data and program$).$ Show plots indicating the location of the start time and then magnified plots showing the peak locations. Supply a table with the peak number, magnitude, and times. Use the code provided to create a table. The units are included in the header information and should be listed on the plot axes and in the tables$\mathrm{.}4.$Use Excel to determine the coefficients, Ro and $,$ in the thermistor equation from the file, Thermistor$\_$Lab$1.$xlsx$.$ Look carefully at the slide that shows how to extract Ro from the fit results. Provide a linear plot of R vs$.$ T with no connecting line or fit. Provide a log$-$linear plot of R vs$.1/$T $($log y axis, linear x axis$).$ It should show the exponential fit line and the equation. The plot should also have the value of Ro and with the appropriate units. Assume that the reference temperature, To$,$ is $298\mathrm{.}15$ K$.$ Use the relevant variables in the fit line equation $($i$.$e$.$ rename y to R$,$ etc.$).$ Label your axes appropriately. Submit the file as yourlastname$\_$lab$1$a$.$xlsx