Write a MATLAB program to plot the curve of the equation f(t) = t*sin(2t)cos(2t). Given t = 0:0.01:4*pi.
Write a MATLAB program to plot the curve of the equation f(t) = t*sin(2t)cos(2t). Given t = 0:0.01:4*pi.
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
Transcribed Image Text:**Writing a MATLAB Program to Plot a Curve**
In this task, we will create a MATLAB program to plot the curve of the function given by the equation \( f(t) = t \cdot \sin(2t) \cdot \cos(2t) \).
**Instructions:**
1. Define the time variable \( t \) as a vector ranging from 0 to \( 4\pi \), with increments of 0.01. This can be accomplished using the MATLAB colon operator:
```matlab
t = 0:0.01:4*pi;
```
2. Use the defined \( t \) values to compute \( f(t) \) using the equation provided:
```matlab
f_t = t .* sin(2*t) .* cos(2*t);
```
3. Plot the computed values to visualize the curve. Use the `plot` function and label the axes for clarity:
```matlab
plot(t, f_t);
xlabel('t');
ylabel('f(t)');
title('Plot of f(t) = t * sin(2t) * cos(2t)');
```
This MATLAB code will generate a visual representation of the function \( f(t) \), showing how it behaves over the specified range of \( t \).
Expert Solution
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Requirement:
Write a MATLAB program to plot the curve of the equation f(t) = t*sin(2t)cos(2t).
Given t = 0:0.01:4*pi.
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