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.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.1: Complex Numbers
Problem 101PS
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1. Martha makes an error converting the complex number - 5sqrt(3) + 5i to polar form. Where did she make her error? Determine the correct answer and explain what Martha did wrong.
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. 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.
.-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
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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