Matlab
6th Edition
ISBN: 9781119299257
Author: Amos Gilat
Publisher: WILEY CONS
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Textbook Question
Chapter 6, Problem 35P
The Sierpinski triangle can be implemented in MATLAB by plotting points iteratively according to one of the following three rules that are selected randomly with equal probability.
Rule 1:= xn+1= 0.5xn. yn+1 = 0.5yn
Rule 2: = xn+1=0.5xn+ 0.25, yn+1= 0.5yn+ (
Rule 3: = xn+1=0.5xn+0.5, yn+1= 0.5yn
Write a program in a script file that calculates the x and y
plots y versus x as individual points [use plot (x. y,’^’)]. Start with x1= 0 and y1= 0. Run the program four times with 10,100, 1,000, and 10,000 iterations.
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If C is the circle |z|=4 evaluate ff(z)dz for each of the following
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Z
(a)f(z) = z²-1
Z+1
1
(b)f(z) =
=
(c)f(z)
=
z²(z+2)
z(z-2)³
z²
1
1
(d) f(z) =
=
(e) f(z) =
(f) f(z) =
(z²+3z+2)²
z²+z+1
z(z²+6z+4)
5. Answer the following questions. Take help from ChatGPT to answer these questions (if
you need). Write the answers briefly using your own words with no more than two sentences,
and check whether ChatGPT is giving you the appropriate answers in the context of our
class.
a) What is the Bode plot? What kind of input do we consider for the frequency-response-
based method?
b) What is the advantage of design using the frequency-response method?
c) Define gain margin, phase margin, gain crossover frequency, and phase crossover
frequency.
Phase (deg)
3. The Bode diagram of a system is shown below.
Magnitude (dB)
System: sys
-10
Frequency (rad/s): 0.141
Magnitude (dB): -15.6
-20
-30
40
-50
-60
0
-45
-90
-135
101
10°
Bode Diagram
System: sys
Frequency (radis): 10
Magnitude (dB): -18.9
System: sys
Frequency (rad/s): 10
Phase (deg):-52.2
101
Frequency (rad/s)
102
103
Find the steady-state output of the system for each of the following inputs.
a) u(t) = 100
b) u(t) 100 cos(10 t + 10°)
=
c) u(t) = 500 + 200 cos(10 t + 10°)
Chapter 6 Solutions
Matlab
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Ch. 6 - The Pascal triangle can be displayed as elements...Ch. 6 - Fibonacci numbers are the numbers in a sequence in...Ch. 6 - The reciprocal Fibonacci constant ?is defined by...Ch. 6 - The value of p can be estimated from:...Ch. 6 - The value of p can be estimated from the...Ch. 6 - Write a program that (a) generates a vector with...Ch. 6 - A vector is given by x= [9 -1.5 13.4 13.3 -2.1 4.6...Ch. 6 - The Pythagorean theorem states that a2+ b2= c2....Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - A safe prime is a prime number that can be written...Ch. 6 - Sexy primes are two prime numbers that the...Ch. 6 - A Mersenne prime is a prime number that is equal...Ch. 6 - A perfect number is a positive integer that is...Ch. 6 - A list of exam scores (S) (in percent out of 100%...Ch. 6 - The Taylor series expansion for axis:...Ch. 6 - Write a MATLAB program in a script file that finds...Ch. 6 - The following are formulas for calculating the...Ch. 6 - Body mass index (BMI) is a measure of obesity. In...Ch. 6 - Write a program in a script file that calculates...Ch. 6 - Write a program that determines the change given...Ch. 6 - The concentration of a drug in the body CPcan be...Ch. 6 - One numerical method for calculating the cubic...Ch. 6 - Write a program in a script file that converts a...Ch. 6 - In a one-dimensional random walk, the position x...Ch. 6 - The Sierpinski triangle can be implemented in...Ch. 6 - The roots of a cubic equation a3x3+a2x2+a1x+a0=0...Ch. 6 - The overall grade in a course is determined from...Ch. 6 - A Keith number is a number (integer) that appears...Ch. 6 - The following MATLAB commands create a sine-shaped...
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