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PLOT (a) Plot y(t)and z(t) on the same graph, for 1

PLOT (a) Plot y(t)and z(t) on the same graph, for 1

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(Use GNU Octave programming)

 

 

**PLOT Instructions** **(a)** Plot the functions \( y(t) \) and \( z(t) \) on the same graph for the interval \( 1 \leq t \leq 5 \) using 1000 data points. The functions are defined as follows: \[ y(t) = 3e^{-0.5t} \cos(\pi t^2) \] \[ z(t) = 2 - y(t) \] **(b)** Plot the following four signals on the same graph, setting the step size to 0.1: 1. \( a(t_1) = 1 + t_1^3 \) for the range \( -5 < t_1 < 5 \) 2. \( b(t_2) = \cos(2\pi t_2) \) for the range \( 0 < t_2 < 10 \) 3. \( c(t_3) = \left(2 + \frac{1}{t_3}\right)^2 \) for the range \( 2 < t_3 < 30 \) 4. \( d(t_4) = 5t_4 - 8 \) for the range \( -100 < t_4 < 100 \) A table provides labels for each signal: | Signal | Label | |--------|-------| | a(t) | a | | b(t) | b | | c(t) | c | | d(t) | d | This exercise involves plotting multiple mathematical functions and comparing their behaviors over specified intervals.
Transcribed Image Text:**PLOT Instructions** **(a)** Plot the functions \( y(t) \) and \( z(t) \) on the same graph for the interval \( 1 \leq t \leq 5 \) using 1000 data points. The functions are defined as follows: \[ y(t) = 3e^{-0.5t} \cos(\pi t^2) \] \[ z(t) = 2 - y(t) \] **(b)** Plot the following four signals on the same graph, setting the step size to 0.1: 1. \( a(t_1) = 1 + t_1^3 \) for the range \( -5 < t_1 < 5 \) 2. \( b(t_2) = \cos(2\pi t_2) \) for the range \( 0 < t_2 < 10 \) 3. \( c(t_3) = \left(2 + \frac{1}{t_3}\right)^2 \) for the range \( 2 < t_3 < 30 \) 4. \( d(t_4) = 5t_4 - 8 \) for the range \( -100 < t_4 < 100 \) A table provides labels for each signal: | Signal | Label | |--------|-------| | a(t) | a | | b(t) | b | | c(t) | c | | d(t) | d | This exercise involves plotting multiple mathematical functions and comparing their behaviors over specified intervals.
Expert Solution
Introduction :

Note: Answering the first question as per the guidelines.

Input :

  • Input value of t vector 

Output :

  • Calculate the value of y(t) and z(t).
  • Plot the data.
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