I. Solve using DeMoivre's Theorem. 1. Find the polar form of (i – V3 ) 2. Find all the value of x so that x* = -8(i – V3) z-1 3. Given that z is not real number and |z| = 1, show that w z+1 4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number 5. Find the real values of x and y such that (x + y)³ is greater than 8 6. Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation, x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation 7. Find the 2 square roots of 3 – 8i 8. Find the 9th roots of 12 – 13i 9. Find all the solutions to the equation x = -8 + 8y3i 10. Find all fourth roots of x = -256

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%
I. Solve using DeMoivre's Theorem.
1. Find the polar form of (i – V3 )
2. Find all the value of x so that x* = -8(i – V3)
z-1
3. Given that z is not real number and |z| = 1, show that w
z+1
4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number
5. Find the real values of x and y such that (x + y)³ is greater than 8
6.
Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation,
x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation
7. Find the 2 square roots of 3 – 8i
8. Find the 9th roots of 12 – 13i
9. Find all the solutions to the equation x = -8 + 8y3i
10. Find all fourth roots of x = -256
Transcribed Image Text:I. Solve using DeMoivre's Theorem. 1. Find the polar form of (i – V3 ) 2. Find all the value of x so that x* = -8(i – V3) z-1 3. Given that z is not real number and |z| = 1, show that w z+1 4. Calculate all integers n such that zn = [(1+ iv3)]' is a real number 5. Find the real values of x and y such that (x + y)³ is greater than 8 6. Find the real values of the number "a" from w/c "ai" is a solution of the polynomial equation, x4 – 2x3 + 7x2 – 4x + 10 = 0, then find the roots of the equation 7. Find the 2 square roots of 3 – 8i 8. Find the 9th roots of 12 – 13i 9. Find all the solutions to the equation x = -8 + 8y3i 10. Find all fourth roots of x = -256
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
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,