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Chapter 2: Q32P (page 71)
Find each of the following in the x + iyform and check your answers by computer.
The form of the given equation .
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First simplify each of the following numbers to the form or to the form. Then plot the number in the complex plane.
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Solve for all possible values of the real numbers x and y in the following equations.
Follow steps (a), (b), (c) above to find all the values of the indicated roots .
Find the absolute value of each of the following using the discussion above. Try to do simple problems like these in your head-it saves time.
Express the following complex numbers in the form. Try to visualize each complex number, using sketches as in the examples if necessary. The first twelve problems you should be able to do in your head (and maybe some of the others—try it!) Doing a problem quickly in your head saves time over using a computer. Remember that the point in doing problems like this is to gain skill in manipulating complex expressions, so a good study method is to do the problems by hand and use a computer to check your answers.
19.
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