2. David determines that 3sqrt(2) * cis((7pi)/4) = - 3 + 3i. When he considers the graphical representation of these numbers , he knows he made an error. Clearly explain in complete sentences what David observed , and where David made his mistake. State the correct rectangular evidence of 3sqrt(2) * cis((7pi)/4)
2. David determines that 3sqrt(2) * cis((7pi)/4) = - 3 + 3i. When he considers the graphical representation of these numbers , he knows he made an error. Clearly explain in complete sentences what David observed , and where David made his mistake. State the correct rectangular evidence of 3sqrt(2) * cis((7pi)/4)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
2. David determines that 3sqrt(2) * cis((7pi)/4) = - 3 + 3i. When he considers the graphical representation of these numbers , he knows he made an error. Clearly explain in complete sentences what David observed , and where David made his mistake. State the correct rectangular evidence of 3sqrt(2) * cis((7pi)/4)
Transcribed Image Text:5. Question 3 asked for two possible quadrant locations of the product of c + di and e-fi, where c, d, e, and f
are positive real numbers. The product in question 4 was two complex numbers of the form c + di and e-fi
where c, d, e, and fare positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and e-fi, where c, d, e, and fare positive real
numbers such that their product lies in the other possible quadrant. Support your example by determining its
product.
Transcribed Image Text:.-5√3+5i
1. Martha makes an error converting the complex number
error? Determine the correct answer and explain what Martha did wrong.
Answer:
3√2cis(7
4
2. David determines that
. When he considers the graphical representation of these
numbers, he knows he made an error. Clearly explain in complete sentences what David observed, and
3√/Zcis (74)
to polar form. Where did she make her
= -3+3i
where David made his mistake. State the correct rectangular equivalence of
Answer:
Answer:
3. Two complex numbers are represented by c + di and e-fi, where c, d, e, and fare positive real numbers. In
what two quadrants may the product of these complex numbers lie? Explain your answer in complete
sentences.
4. What is the product
product lie?
(4√3 - 4i )(√2 + √2i) in polar form? In what quadrant of the complex plane does the
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