Matlab $\_2$

scripts and Functions

rfm$\_$lord

Consider the system of equations:

$x+2y+3z=1$

$3x+3y+4z=1$

$2x+3y+3z=2$

Write a script file example$1.$m to find the solution to the system of equations

The output should be like this

The value of $x=-0\mathrm{.}50$ volt

The value of $y=1\mathrm{.}50$ volt

The value of $z=-0\mathrm{.}50$ volt

Write a script file example$2.$m to plot the following cosine function $Y1=2cos(x),Y2=cos(x),$ and $Y3=0\mathrm{.}5cos(x),$ in the interval $0x2.$

a$)$ Write a script file example$3.$m to ask the user to enter the values of four resistors $R_1,R_2,R_3$ and $R_4$ and print out their parallel equivalent resistor Use the formula Req$=1/(1/$R$1+1/$R$2+1/$R$3+1/$R$4)$

The output should be like this

R$1=100$ ohm, R$2=200$ ohm

R$3=300$ ohm, R$4=500$ ohm

The parallel equivalent resistor $=49\mathrm{.}180$ ohm

b$)$ Write a function parallel$4$Rs$.$m to calculate their parallel equivalent resistor The output should be like this

Parallel$4$Rs$(100,200,300,500)$Write a function file F$2$C$.$m that converts temperature in degrees Fahrenheit $($ F$^($@$))$ to deqrees Centigrade $($ C$^($@$)).$ Use input and fprintf command to display a mix of text and numbers. Recall the conversion formulation, C$=5//9^(**)($F$-32)$Write a function named fn$.$m for the function

$f(x)=\frac{x^5\sqrt[\phantom{2}]{2x+3}}{(x^2+1{)}^3}$

The input of the function should be $x$ and the output should be the calculated value $f(x).$ Write the function so the $x$ can be a number, vector, or matrix just as the sin function works