Question: 1. Martha makes an error converting the complex number 5+Si to polar form. Where did she make her error? Determine the correct answer and explain


1. Martha makes an error converting the complex number 5+Si to polar form. Where did she make her error? Determine the correct answer and explain what Martha did wrong. f _ 5+f3+5i=10| cos| J+i5in' \\ \\ Answer: (Score for Question 2: ___ of 3 points) 700 2. David determines that 3\\-@('?'5; I: 3+ 37 . When he considers the graphical representation of these | numbers, he knows he made an error. Clearly explain in complete sentences what David observed, and T where David made his mistake. State the correct rectangular equivalence of 3{5{';'5; 2 I L Answer: {Score for Question 3: __ of 2 points) 3. Two complex numbers are represented by + di and e fi , where , d, e, and f are positive real numbers. In what two quadrants may the product of these complex numbers lie? Explain your answer in complete sentences. Answer: (Score for Question 4: ___ of 7 poinis) 4. What is the product [4\\545 ][ +i ] in polar form? In what quadrant of the complex plane does the product lie? Answer: Question 3 asked for two possible quadrant locations of the product of + di and e fi , where , d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form + di ande fi, where , d, e, and f are positive real numbers. You answered the quadrant location of this product. Provide an example of two complex numbers in the form + di ande fi, where , d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product
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