Plot the curve of the function z(t) = 3t3 - 9t2 + 8t in MATLAB, given t = -10:0.01:10. %3!

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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**Task Description:**

Plot the curve of the function \( z(t) = 3t^3 - 9t^2 + 8t \) in MATLAB, given \( t = -10:0.01:10 \).

**Explanation:**

1. **Function Definition:**
   - The function is \( z(t) = 3t^3 - 9t^2 + 8t \), which is a cubic polynomial in terms of \( t \).

2. **Range of \( t \):**
   - The variable \( t \) ranges from -10 to 10, with increments of 0.01.

3. **MATLAB Implementation:**
   - You can plot this function in MATLAB using the following code:
     ```matlab
     t = -10:0.01:10;
     z = 3*t.^3 - 9*t.^2 + 8*t;
     plot(t, z);
     title('Plot of z(t) = 3t^3 - 9t^2 + 8t');
     xlabel('t');
     ylabel('z(t)');
     grid on;
     ```
   - The code defines the range of \( t \), calculates the corresponding \( z(t) \) values, and plots the curve with appropriate labels and grid.
Transcribed Image Text:**Task Description:** Plot the curve of the function \( z(t) = 3t^3 - 9t^2 + 8t \) in MATLAB, given \( t = -10:0.01:10 \). **Explanation:** 1. **Function Definition:** - The function is \( z(t) = 3t^3 - 9t^2 + 8t \), which is a cubic polynomial in terms of \( t \). 2. **Range of \( t \):** - The variable \( t \) ranges from -10 to 10, with increments of 0.01. 3. **MATLAB Implementation:** - You can plot this function in MATLAB using the following code: ```matlab t = -10:0.01:10; z = 3*t.^3 - 9*t.^2 + 8*t; plot(t, z); title('Plot of z(t) = 3t^3 - 9t^2 + 8t'); xlabel('t'); ylabel('z(t)'); grid on; ``` - The code defines the range of \( t \), calculates the corresponding \( z(t) \) values, and plots the curve with appropriate labels and grid.
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