Write a script file HW$1\_6\_$YourLastName.m that defines $T_C$ and converts it into $T_F($Fahrenheit$)$ followed by calculating the below:

$(1)T_F+3,T_F-3,3-T_F,3T_F,\frac{T_F}{3},\frac{3}{T_F}($Understand that only $\frac{3}{T_F}$ requires a dot for element$-$byelement operation.$)$

$(2)T_F+T_C,T_F-T_C,T_F**T_C,\frac{T_F}{T_C}($Understand that only $T_F**T_C$ and $\frac{T_F}{T_C}$ require a dot for element$-$by$-$element operation.$)$

$(3)\sqrt[\phantom{2}]{T_F},|T_F-50|($Use MATLAB functions "sqrt" and "abs". Understand that these perform element$-$by$-$element operations for a vector quantity.$)$

$(4)T_F^2($Understand that $"{?}^{{?}^{?}}"$ should be used instead of $"{?}^{{?}^{?}}"$ for element$-$by$-$element operation.$)$

$(5){\displaystyle \underset{j=2}{\overset{4}{}}}|T_{F,j}-50|($Only the elements for $j=2,3,4$ in $T_F$ should be selected. Also, use MATLAB function "sum", which calculates a sum of all the elements in the vector.$)$