ENGR$-125$

Project $6$: MATLAB Functions and Solver

Due Date: April $14,2024$

Part A: MATLAB Functions

Write a function in MATLAB that will calculate and return the slope and y$-$axis intercept from coordinate values. The inputs to the function are the coordinate values.

Hint: The equation of a straight line: ;

where is the slope of the line, $()$

and is the $-$intercept $().$

Your function definition should look like this:

function $[mb]=$eline$(x1,y1,x2,y2)$

Write a function that prints a statistical report for a vector

$".$ The report includes average, minimum, maximum value. Please print the report from the function.

Your function definition should look like this:

function statreport$($a$)$

Write a function to calculate whether a given number is a prime number $($code$/$logic to calculate the prime number is provided in class activity $9).$ Please do not use the built$-$in MATLAB function 'isprime'.

Write a function to convert a Fahrenheit temperature to a Celsius temperature. Your input to the function is the Fahrenheit temperature and output is the Celsius temperature.

Upload the file named 'SanAntonio$\_$temp.xlsx$\text{'}$ into

Octave.

Read data.

Find the maximum and minimum of average temperatures.

Plot temperatures.

Call the function you wrote for Q$4$ to convert temperatures from Fahrenheit to Celsius.

Write the maximum and minimum Celsius temperatures to a text file.

Part B: Solver and Curve$-$fitting

Evaluate the following function at :

Solve the following equation using 'solve' function in MATLAB:

Solve the following equations using 'solve' function in MATLAB:

Find the roots of the following equation using 'roots' in MATLAB:

Read the data in the attached excel file 'data$1.$xlsx$\text{'}$ and find the best curve which fits time vs total truck.