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Chapter 2: Q32P (page 64)

Use Problems 27 and 28 to find the following absolute values. If you understand Problems 27 and 28 and equation (5.1), you should be able to do these in your head.

|3e2+4i|

Short Answer

Expert verified

The absolute value of the expression 3e2+4i=3e2.

Step by step solution

01

Given information

The given complex number is3e2+4i.

02

Definition of complex numbers

If a and b are real numbers, then a combination of these real numbers with the imaginary number i can be written as:

z=a+ib

Here z is the complex number.

03

Use the result concluded in problem 27.

Let the complex number 3e2+4i bez .

z=3e2e4i 鈥︹��. (1)

Use the result concluded in problem 27.

R=rei胃R=r 鈥︹赌︹赌�(2)

Compare equations (1) and (2) as:

R=3e2

Hence, the absolute value of the expression 3e2+4i=3e2.

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