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Chapter 2: Q52P (page 54)
Describe geometrically the set of points in the complex plane satisfying the following equations.
.
The equation is the imaginary axis (y-axis).
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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.
11. localid="1653075389121" role="math"
Solve for all possible values of the real numbers and in the following equations.
Test each of the following series for convergence.
Describe geometrically the set of points in the complex plane satisfying the following equations. .
Solve for all possible values of the real numbersand in the following equations .
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