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Chapter 2: Q9P (page 76)
Find each of the following in the form and compare a computer solution.
.
The form of the given equation is
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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.
.
Describe geometrically the set of points in the complex plane satisfying the following equations.
.
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鈥攖ry 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.
3.
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鈥攖ry 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.
8.
Test each of the following series for convergence.
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