Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
You have complex numbers Z₁ = e³-14, z2 = √√3+2i, 23 = = 3-1/2/³ 1. Write Z₁ in classical form z = x + iy; reio; 2. Write Z2, Z3 in exponential form z = 3. Write Z₁, Z2, Z3 in trigonometric form z = r(cos + i sin 0); 4. Make operations between the complex numbers Z3 - |Z₁ + Z2, Z2 * Z3, Z = Re(z₁ * Z2), Im(z2 — Z3) Z₂' 5. Find the 3 roots of number Z3; 6. Find the number (z₁);

You have complex numbers Z₁ = e³-14, z2 = √√3+2i, 23 = = 3-1/2/³ 1. Write Z₁ in classical form z = x + iy; reio; 2. Write Z2, Z3 in exponential form z = 3. Write Z₁, Z2, Z3 in trigonometric form z = r(cos + i sin 0); 4. Make operations between the complex numbers Z3 - |Z₁ + Z2, Z2 * Z3, Z = Re(z₁ * Z2), Im(z2 — Z3) Z₂' 5. Find the 3 roots of number Z3; 6. Find the number (z₁);

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
A needed for all parts please do correctly in 30 minutes and get the thumbs up please show me neat and clean work for it
A) You have complex numbers Z₁ = = e³-i², Z2 = √√3+2i, 23 = B) 1. Write Z₁ in classical form z = x + iy; 2. Write Z2, Z3 in exponential form z = reiº ; 3. Write Z₁, Z2, Z3 in trigonometric form z= r(cos+ i sin 0); 4. Make operations between the complex numbers Z3 |Z₁ + Z₂, Z2 * Z3, Z = Z₂ 5. Find the 3 roots of number Z3; 6. Find the number (Z₁)6; " - Re(z₁ * Z₂), Im(Z2 — Z3) Compute the following limit if it exist lim Z→-i √√3 گیز z5-42z C) Write the following function f(z) = z²³ − z + 1 in form f(z) = u(x; y) + iv(x; y) (find the real and imaginary part of complex function Re(ƒ(z)) = u(x; y), Im(f(z)) = v(x; y))
Transcribed Image Text:A) You have complex numbers Z₁ = = e³-i², Z2 = √√3+2i, 23 = B) 1. Write Z₁ in classical form z = x + iy; 2. Write Z2, Z3 in exponential form z = reiº ; 3. Write Z₁, Z2, Z3 in trigonometric form z= r(cos+ i sin 0); 4. Make operations between the complex numbers Z3 |Z₁ + Z₂, Z2 * Z3, Z = Z₂ 5. Find the 3 roots of number Z3; 6. Find the number (Z₁)6; " - Re(z₁ * Z₂), Im(Z2 — Z3) Compute the following limit if it exist lim Z→-i √√3 گیز z5-42z C) Write the following function f(z) = z²³ − z + 1 in form f(z) = u(x; y) + iv(x; y) (find the real and imaginary part of complex function Re(ƒ(z)) = u(x; y), Im(f(z)) = v(x; y))
Expert Solution
steps

Step by step

Solved in 7 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS