The following equation can be used to compute values of y as a function of x:

y = be^−ax sin (bx) (0.012x⁴ − 0.15x³ + 0.075x² + 2.5x)where a and b are parameters. Write the equation for implementation with MATLAB, where a = 2, b = 5, and x is a vector holding values from 0 to π/2 in increments of Δx = π/40. Employ the minimum number of periods (i.e., dot notation) so that your formulation yields a vector for y. In addition, compute the vector z = y² where each element holds the square of each element of y. Combine x, y, and z into a matrix w, where each column holds one of the variables, and display w using the short g format. In addition, generate a labeled plot of y and z versus x. Include a legend on the plot (use help to understand how to do this). For y, use a 1.5-point, dashdotted red line with 14-point, rededged, white-faced pentagram-shaped markers. For z, use a standard-sized (i.e., default) solid blue line with standardsized, blue-edged, green-faced square markers.