MATLAB Question

The temperature profile on a plate that is 17m long( [7,10]) and 9m wide ( [1,8]) is illustrated in the figure below:

The temperature profile on the plate is described by:

where represents the temperature.

The average temperature of the plate can be calculated through:

where represents the total surface area of the plate.

Write a function file for the Composite Simpsons 1/3 rule which accepts vectors as input. with the following function header: I = comp_simp13_vector(a,b) where I is the integral and a and b are the independent and dependant variables that you are integrating.

Calculate the average temperature of the plate using Composite Simpsons 1/3 rulewith 99 points in each direction (x and y). Use the composite simpson's 1/3 rule function file created to calculate the integral values.

Use fprintf() to print a statement containing the average temperature to 4 decimal places.

x. 0 -5 0 0 arpadual T(x,y) -y sin(x)-x cos(y) 10 8 T. T(x,y) dxdjy A average -7 J-1