Task: The popular amusement ride known as the corkscrew has a helical shape. The parametric equations for a circular helix are: x = a cos t y = a sint t z = b*t Where a is the radius of the helical path and b is a constant that determines the tightness of the path. For this homework, plot the x, y, and z variables. Use 0 ≤ t ≤ 10*pi, b = 0.1 and a = 1.25. Print the graphs, label your axes and title of the graph. Solution: clc clear all close all % given values of constants : t = 0:0.1:10*pi; b = 0.1; a = 1.25; % given equations of x , y , z : x = a * cos(t); y = a * sin(t); z = b * t; % 3D plotting : plot3(x,y,z,'b','linewidth',2) xlabel('x-axis','fontsize',15) ylabel('y-axis','fontsize',15) zlabel('z-axis','fontsize',15) title('3D Plot Helix','fontsize',20) grid on