Problem $6$: Material Cost Calculator

Write a MATLAB script that calculates the total cost of materials needed for a project. The script should take the quantity of three materials $($in units$),$ and their costs per unit, and return the total cost. Use $10$ planks of wood at $$\frac{5}{?}$ plank, $15$ lbs of steel at $$\frac{12}{l}b,$ and $20$ lbs of gravel at $$\frac{7}{l}b.$

Problem $7$: Beam Load Distribution

A uniform load of $500\frac{N}{m}$ is applied to a beam that is $10$ meters long. Write a MATLAB script to calculate the total load on the beam.

Problem $8$: Plotting a Temperature Profile

Given a vector of average monthly temperatures, write a MATLAB script to plot these temperatures over the months. Use $22,24,28,32,35,37,36,34,30,26,24,22$ in Celsius for the temperatures starting in January and ending in December and label the axes appropriately.

Problem $9$: Area under Curve

Calculate and display the area under the curve $y=5x^2+3x-2$ from $x=0$ to $x=10$ using MATLAB's numerical integration functions.

Problem $10$: Stress in a Column

The stress $()$ in a column subjected to a vertical load $P$ is given by $=\frac{P}{A},$ where $A$ is the cross$-$sectional area. Write a MATLAB function that calculates the stress in a column given $P$ and $A.$ Test your function with $P=1000N$ and $A=50c{m}^2.$