4. (Complex Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find decimal approx- imations of all seven roots of degree seven of the complex number w=-18-2i to five decimal places, and show them in the complex plane. Present your answers to the problem in a table of the following form: Step Answers (1) (2) (3) W=... T = |w| = ......; e arg(w) a = ...... (since the number is in the ... quadrant, the corresponding correction is equal to ...); . [cos(...)+isin(...)] 21... Sketch of the roots 20, 21,... 26. and provide the listing/text of the program for a scientific calculator you have used below the table.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter8: Complex Numbers And Polarcoordinates
Section: Chapter Questions
Problem 1RP: As was mentioned in the introduction to this chapter, Jerome Cardan (Girolamo Cardano) was unable to...
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4. (Compler Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find decimal approx-
imations of all seven roots of degree seven of the complex number
w = -18 – 2i
to five decimal places, and show them in the complex plane.
Present your answers to the problem in a table of the following form:
Step
Answers
w = ...
r = |w| = . ..
e = arg(w) = ... .. (since the number is in the .. quadrant,
the corresponding correction is equal to .);
- · [cos(...) + i sin(...)]
(1)
w ...
(2)
20 ..
21 ..:
26 ...
(3)
Sketch of the roots 2o, 21,...26.
and provide the listing/text of the program for a scientific calculator you have used below the table.
Transcribed Image Text:4. (Compler Numbers: Extraction of Roots; Scientific Calculators). Use a scientific calculator to find decimal approx- imations of all seven roots of degree seven of the complex number w = -18 – 2i to five decimal places, and show them in the complex plane. Present your answers to the problem in a table of the following form: Step Answers w = ... r = |w| = . .. e = arg(w) = ... .. (since the number is in the .. quadrant, the corresponding correction is equal to .); - · [cos(...) + i sin(...)] (1) w ... (2) 20 .. 21 ..: 26 ... (3) Sketch of the roots 2o, 21,...26. and provide the listing/text of the program for a scientific calculator you have used below the table.
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