Write a user-defined MATLAB function that calculates the following math expression:

y(x) = 0.6x³e^-0.47x+ 1.5x²e^-0.6x

The input to the function is x and the output is y. Write the function such that x can be an array (use element-by-element operations). Your function must include an H1 line with corresponding help text lines outlining how to use your function and a description of the input and output arguments.

Call your function within your script file to calculate:

a) y(2) and y(5)

b) y(x) for 0.001 x 10 with 1000 data points.

Print out your answers from (a) to the command window. Plot the function y(x) from (b) 4 times in 2 by 2 subplots using the following:

c) Linear scale for both the x and y axes.

d) Linear scale for the x-axis and logarithmic scale for the y-axis.

e) Linear scale for the y-axis and logarithmic scale for the x-axis.

f) Logarithmic scale for both the x and y axes.

Add gridlines to each plot and use the axis() function to adjust the limits of the x-axis from the minimum value of x to the maximum value of x and the same for the y-axis. You can use the functions min() and max() in MATLAB after reading their help sections.