MATLAB: A Practical Introduction to Programming and Problem Solving
MATLAB: A Practical Introduction to Programming and Problem Solving
5th Edition
ISBN: 9780128154793
Author: Stormy Attaway Ph.D. Boston University
Publisher: Elsevier Science
bartleby

Videos

Question
Book Icon
Chapter 14, Problem 27E
To determine

To create:

• The complex variables c1=13i,c2=5+2i and add them.

• The complex variables c1=13i,c2=5+2i and multiply them.

• The complex variables c1=13i,c2=5+2i and get the complex conjugate and magnitude of each.

• The complex variables c1=13i,c2=5+2i and put them in polar form.

Expert Solution & Answer
Check Mark

Answer to Problem 27E

Solution:

• The addition of c1=13i,c2=5+2i gives 6i.

• The multiplication of c1=13i,c2=5+2i gives 1113i.

• The complex conjugate and magnitude of c1=13i is 1+3i and 3.16, and for c2=5+2i is 52i and 5.38.

• The complex variables c1=13i,c2=5+2i in polar form are stated as follows.

Explanation of Solution

• The complex variables c1=13i,c2=5+2i and add them.

The given complex variables are,

c1=13i,c2=5+2i

Add them.

c1+c2=13i+(5+2i)=6i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

sum = a+b

Save the MATLAB function with name chapter1_54793_1_27_1E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  1

Therefore, the result is stated above.

• The complex variables c1=13i,c2=5+2i and multiply them.

The given complex variables are,

c1=13i,c2=5+2i

Multiply them.

c1×c2=(13i)(5+2i)=1113i

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

Product = a*b

Save the MATLAB function with name chapter1_54793_1_27_2E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  2

Therefore, the result is stated above.

• The complex variables c1=13i,c2=5+2i and get the complex conjugate and magnitude of each.

The given complex variables are,

c1=13ic2=5+2i

The complex conjugate of c1 is,

c1¯=1+3i

The magnitude of c1 is,

|c1|=1+32=3.16

The complex conjugate of c2 is,

c2¯=52i

The magnitude of c2 is,

|c2|=52+22=5.38

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%Conjugate

conj(a)

conj(b)

%Magnitude

abs(a)

abs(b)

Save the MATLAB function with name chapter1_54793_1_27_3E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  3

Therefore, the result is stated above.

• The complex variables c1=13i,c2=5+2i and put them in polar form.

MATLAB Code:

a = 1-3*i;

%Define the variable a.

b = 5+2*i;

%polar form

r = abs(a)

theta = angle(a)

r = abs(b)

theta = angle(b)

Save the MATLAB function with name chapter1_54793_1_27_4E.m in the current folder. Execute the function by typing the function name at the command window to generate output.

Result:

MATLAB: A Practical Introduction to Programming and Problem Solving, Chapter 14, Problem 27E , additional homework tip  4

Therefore, the result is stated above.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
Microsoft Excel snapshot for random sampling: Also note the formula used for the last column 02 x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51)) A B 1 No. States 2 1 ALABAMA Rand No. 0.925957526 3 2 ALASKA 0.372999976 4 3 ARIZONA 0.941323044 5 4 ARKANSAS 0.071266381 Random Sample CALIFORNIA NORTH CAROLINA ARKANSAS WASHINGTON G7 Microsoft Excel snapshot for systematic sampling: xfx INDEX(SD52:50551, F7) A B E F G 1 No. States Rand No. Random Sample population 50 2 1 ALABAMA 0.5296685 NEW HAMPSHIRE sample 10 3 2 ALASKA 0.4493186 OKLAHOMA k 5 4 3 ARIZONA 0.707914 KANSAS 5 4 ARKANSAS 0.4831379 NORTH DAKOTA 6 5 CALIFORNIA 0.7277162 INDIANA Random Sample Sample Name 7 6 COLORADO 0.5865002 MISSISSIPPI 8 7:ONNECTICU 0.7640596 ILLINOIS 9 8 DELAWARE 0.5783029 MISSOURI 525 10 15 INDIANA MARYLAND COLORADO
Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined. 1.What percent of the refunds are more than $3,500? 2. What percent of the refunds are more than $3500 but less than $3579? 3. What percent of the refunds are more than $3325 but less than $3579?
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Text book image
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Write the Complex Number in Trigonometric (Polar) Form; Author: The Math Sorcerer;https://www.youtube.com/watch?v=9kZOHHRjfIQ;License: Standard YouTube License, CC-BY