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Chapter 2: Q27P (page 53)
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.
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The absolute value is .
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For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly findin your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.
role="math" localid="1658473180216" .
Solve for all possible values of the real numbers x and y in the following equations.
For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly find in your head for these simple problems. Then plot the number and label it in five ways as in Figure 3.3. Also plot the complex conjugate of the number.
.
Show from the power series (8.1) that .
Test each of the following series for convergence.
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