These are four MATLAB questions to practice on.
Define the functions x and y in terms of parameter a:
x(t)=√t sin(t) y(t)=√t cos(t)
Create a separate figure and in a 2x1 grid of subplots, plot the following curves:
y against x.
x against t and y against t
Write a Matlab code that determines whether a company ABC has generated profit or loss percent based on the sales and expenses data from the year 2010 to 2019. The formula to calculate the profit/loss percent is:
Profit/loss (%) =100x(sales-expenses)/expenses
where positive percent means that there is a profit while negative percent indicates a loss and zero percent means no change.
The code should be organized as follows:
a) Write a getData() function that asks the user to input the sales and the expenses data from the year 2010 to 2019 and returns it. (Do NOT use loops)
b) Write a CalculatePercent() function that accepts the sales and expenses data then returns a vector which holds the calculated percent for each respective year. (Do NOT use loops)
c) Write a ProfitOrLoss() function that accepts the percent vector then returns an appropriate description string vector which shows whether there is a profit, a loss or no change in each year. (Do NOT use loops) (4 marks)
d) Write a main script to do the following: • Call getData() function to get the company’s sales and expenses data from the user. • Call calculatePercent() to find the profit/loss percent values for each year. • Call ProfitOrLoss() to appropriate description for each percent value (i.e. profit, loss or no change) • Display the company’s data (year, sales, expenses, percent, and description) in a tabular format.
Write a Matlab script that prompts the user to enter a vector of integer numbers, then finds and displays numbers that appears twice in the vector. (Do not use loops)
The following is an approximate conversion formula for converting Fahrenheit to Celsius:
Celsius≈(Fahrenheit-30)/2
Using this formula, and starting from a Fahrenheit temperature 0, using a Matlab loop determine when the approximate equivalence Celsius temperature differs from the exact equivalent value by more than four degrees. Note: the exact conversion formula:
Celsius=(Fahrenheit-32)5/9