Chapter 2: Q30P (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.
$| e^{\sqrt{3} - i} |$

Short Answer

Expert verified

The absolute value of the expression $|e^{\sqrt{3} - i}| = e^{\sqrt{3}}$ .

Step by step solution

Step 1: Given information

The given complex number is $|e^{\sqrt{3} - i}|$ .

Step 2: Definition of complex numbers

The numbers that are presented in the form of $a + ib$ where are real numbers and is an imaginary number called complex numbers.

Use the result concluded in problem 27

Let the complex number $e^{\sqrt{3} - i}$ be .

$|Z| = |e^{\sqrt{3}}| |e^{- i}|$ ……. (1)

Use the result concluded in problem 27.

$R = |e^{(x + y i)}| R = e^{x}$ ……. (2)

Compare equations (1) and (2) as:

$R = e^{\sqrt{3 .}}$

Hence the absolute value of the expression $|e^{\sqrt{3} - i}| = e^{\sqrt{3}} .$

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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.
$| e^{\sqrt{3} - i} |$

Short Answer

Step by step solution

Step 1: Given information

Step 2: Definition of complex numbers

Use the result concluded in problem 27

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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.|e3-i|

Short Answer

Step by step solution

Step 1: Given information

Step 2: Definition of complex numbers

Use the result concluded in problem 27

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

Mechanics and Materials

Physics of Motion

Engineering Physics

Solid State Physics

Linear Momentum

Study anywhere. Anytime. Across all devices.

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.
$| e^{\sqrt{3} - i} |$