Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Find the roots of 27 - (-1+3i) = 0. Important: When calculating the roots, you must use non-truncated values for the modulus and argument calculated in parts (i) and (ii) and not the approximated values, otherwise the final answer may not be correct. Find the modulus and argument of -1 +32 to 3 decimal places. Expected answer: 3.162 (i) - 1 + 3i| = 3.162 Expected answer: 1.893 How many roots are there? 7 All the roots have the same modulus. (ii) arg(-1 + 3i) = 1.893 in the range [0, 2π). Hence use (i) and (ii) find the roots of 27 - (-1+3i) = 0 i.e. solve for z, z² = -1 + 3i. Expected answer: 7 to 3 decimal places. Expected answer: 1.179 Input the modulus here: 1.179 What is the argument of the root with the least positive argument? Expected answer: 0.270 radians, to 3 decimal places (to 3 decimal places). 0.337 * radians (to 3 decimal places) If the roots are ordered in terms of their increasing arguments, what is the angle between Expected answer: 0.898 successive roots? 0.898 radians (to 3 decimal places).

Find the roots of 27 - (-1+3i) = 0. Important: When calculating the roots, you must use non-truncated values for the modulus and argument calculated in parts (i) and (ii) and not the approximated values, otherwise the final answer may not be correct. Find the modulus and argument of -1 +32 to 3 decimal places. Expected answer: 3.162 (i) - 1 + 3i| = 3.162 Expected answer: 1.893 How many roots are there? 7 All the roots have the same modulus. (ii) arg(-1 + 3i) = 1.893 in the range [0, 2π). Hence use (i) and (ii) find the roots of 27 - (-1+3i) = 0 i.e. solve for z, z² = -1 + 3i. Expected answer: 7 to 3 decimal places. Expected answer: 1.179 Input the modulus here: 1.179 What is the argument of the root with the least positive argument? Expected answer: 0.270 radians, to 3 decimal places (to 3 decimal places). 0.337 * radians (to 3 decimal places) If the roots are ordered in terms of their increasing arguments, what is the angle between Expected answer: 0.898 successive roots? 0.898 radians (to 3 decimal places).

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

COMPLEX NUMBERS

please answer part ii) (incorrect answer only)

please show all workings. The correct answer is 0.270

Find the roots of 27 - (-1+3i) = 0. Important: When calculating the roots, you must use non-truncated values for the modulus and argument calculated in parts (i) and (ii) and not the approximated values, otherwise the final answer may not be correct. Find the modulus and argument of -1 +32 to 3 decimal places. Expected answer: 3.162 (i) - 1 + 3i| 3.162 (ii) arg(-1 + 3i) = 1.893 in the range [0, 2π). Hence use (i) and (ii) find the roots of 27 - (-1+3i) = 0 i.e. solve for z, z² = -1 + 3i. Expected answer: 7 How many roots are there? 7 All the roots have the same modulus. Expected answer: 1.893 to 3 decimal places. Expected answer: 1.179 Input the modulus here: 1.179 What is the argument of the root with the least positive argument? Expected answer: 0.270 radians, to 3 decimal places (to 3 decimal places). 0.337 * radians (to 3 decimal places) If the roots are ordered in terms of their increasing arguments, what is the angle between Expected answer: 0.898 successive roots? 0.898 radians (to 3 decimal places).
Transcribed Image Text:Find the roots of 27 - (-1+3i) = 0. Important: When calculating the roots, you must use non-truncated values for the modulus and argument calculated in parts (i) and (ii) and not the approximated values, otherwise the final answer may not be correct. Find the modulus and argument of -1 +32 to 3 decimal places. Expected answer: 3.162 (i) - 1 + 3i| 3.162 (ii) arg(-1 + 3i) = 1.893 in the range [0, 2π). Hence use (i) and (ii) find the roots of 27 - (-1+3i) = 0 i.e. solve for z, z² = -1 + 3i. Expected answer: 7 How many roots are there? 7 All the roots have the same modulus. Expected answer: 1.893 to 3 decimal places. Expected answer: 1.179 Input the modulus here: 1.179 What is the argument of the root with the least positive argument? Expected answer: 0.270 radians, to 3 decimal places (to 3 decimal places). 0.337 * radians (to 3 decimal places) If the roots are ordered in terms of their increasing arguments, what is the angle between Expected answer: 0.898 successive roots? 0.898 radians (to 3 decimal places).
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

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