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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**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 \( t \).
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
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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