draw the 3-d plot for the function f(t)=(t, t^2, t^3), where 0≤t≤100. in matlab

To draw a 3D plot for the function f(t) = (t, t^2, t^3) where 0 ≤ t ≤ 100 in MATLAB, you can follow these steps:

1. Define the range of t values using linspace. For example, t = linspace(0, 100, 1000) will generate 1000 equally spaced values between 0 and 100.

2. Calculate the corresponding values of f(t) for each t value. The x, y, and z coordinates can be calculated using array operations. For example, x = t, y = t.^2, and z = t.^3.

3. Create a 3D plot using the plot3 function. Pass in the x, y, and z coordinates as arguments. For example, plot3(x, y, z).

Here's the MATLAB code that implements the above steps:

main.m
t = linspace(0, 100, 1000);
x = t;
y = t.^2;
z = t.^3;

plot3(x, y, z);
xlabel('t');
ylabel('t^2');
zlabel('t^3');
title('3D Plot of f(t) = (t, t^2, t^3)');
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This code will generate a 3D plot with the x-axis representing t, the y-axis representing t^2, and the z-axis representing t^3. The plot will have the title "3D Plot of f(t) = (t, t^2, t^3)".

Make sure you have MATLAB installed and running to execute this code.