Concept-Test-Complex1

Concept-Test-Complex1 - Any solution of the equation z 4...

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Complex Numbers Complex Numbers Concept tests Concept tests
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Setting up your cards • Press the GO button • Press 2 then 7 (that is, you chose the channel 27 for the frequency); after you pressed 7, you should get a green light (Hint. Use both hands to press the buttons.) Now you are ready to go :o)
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Every nonnegative real number has a real square root 1. True 2. False
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For any complex number z , the product is a real number 1. True 2. False z z !
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It is possible for a function of a complex variable to be multi-valued 1. True 2. False
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The square of any complex number is a real number 1. True 2. False 0
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If z = x + i y , where x and y are positive, then z 2 = a + i b has a and b positive. 1. True 2. False
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Unformatted text preview: Any solution of the equation z 4 – 16 = 0 may be written in the form z = 2 w , where w is a fourth root of unity 1. True 2. False Every nonzero complex number z can be written in the form z = e w , where w is another complex number. 1. True 2. False Which of the following are cubic roots of i ? A. B. C. -i D. i ) 3 / sin( ) 3 / cos( ! + i ) 3 / 2 sin( ) 3 / 2 cos( + i ) 6 / 5 sin( ) 6 / 5 cos( + 1. A and B 2. C 3. B and C 4. C and D :20 What is Arg(1/z), where ? i z 3 1 ! ! = 1. - 4 ! / 3 2. - 2 ! / 3 3. 2 ! / 3 4. 4 ! / 3 :10 0 of 30...
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This note was uploaded on 12/01/2009 for the course MATH 322 taught by Professor Staff during the Fall '08 term at Arizona.

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Concept-Test-Complex1 - Any solution of the equation z 4...

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