a Determine the fourth roots of z = -25 i. Enter your answer as a set of lists, where each list consists in order of the modulus and the argument of the 4th root of unity. Each argument should be entered as a multiple of r and should fall in the interval [0, 27). %3D {[25^(1/4), 15*pi/8], [25^(1/4 Your last answer was interpreted as follows: 11T 15 T 254, 8. 25 8. 25 25 8 8
a Determine the fourth roots of z = -25 i. Enter your answer as a set of lists, where each list consists in order of the modulus and the argument of the 4th root of unity. Each argument should be entered as a multiple of r and should fall in the interval [0, 27). %3D {[25^(1/4), 15*pi/8], [25^(1/4 Your last answer was interpreted as follows: 11T 15 T 254, 8. 25 8. 25 25 8 8
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![a Determine the fourth roots of z = -25 i. Enter your answer as a set of lists, where each list consists in
order of the modulus and the argument of the 4th root of unity. Each argument should be entered as a
multiple of 7 and should fall in the interval [0, 27).
{[25^(1/4), 15*pi/8], [25^(1/4
Your last answer was interpreted as follows:
1 15 7
257
8
25 11 T
8
7 T
254
8.
25
8.
6.
b) The midpoints of the sides of the quadrilateral formed by the fourth roots of z represent the fourth roots
of another complex number w. Find w, giving the answer in the form z + iy, where a E R, YER.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f8e76e9-b615-4c21-9322-95ee6ed50807%2Fc2ab41d0-be08-4412-897c-662f982d4c5d%2F7l38sl4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:a Determine the fourth roots of z = -25 i. Enter your answer as a set of lists, where each list consists in
order of the modulus and the argument of the 4th root of unity. Each argument should be entered as a
multiple of 7 and should fall in the interval [0, 27).
{[25^(1/4), 15*pi/8], [25^(1/4
Your last answer was interpreted as follows:
1 15 7
257
8
25 11 T
8
7 T
254
8.
25
8.
6.
b) The midpoints of the sides of the quadrilateral formed by the fourth roots of z represent the fourth roots
of another complex number w. Find w, giving the answer in the form z + iy, where a E R, YER.
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