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Chapter 2: Q31P (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.

|5e2蟺颈/3|

Short Answer

Expert verified

The absolute value of the expression|5e2蟺颈/3|=5.

Step by step solution

01

Given information

The given complex number is|5e2蟺颈/3|.

02

Definition of complex numbers.

The numbers that are presented in the form of a+ibwhere a,b are real numbers and is an imaginary number called complex numbers.

03

 Step 3: Use the result concluded in problem 27.

Let the complex number 5e2蟺颈/3 be . 鈥︹��. (1)

Use the result concluded in problem 27.

R=zR=rei胃R=r

鈥︹赌�.(2)

Compare equations (1) and (2) as:

R=5.

Hence the absolute value of the expression 5e2蟺颈/3=5.

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Most popular questions from this chapter

Describe geometrically the set of points in the complex plane satisfying the following equations. |z|=2.

Describe geometrically the set of points in the complex plane satisfying the following equations.

|z+3i|=4.

Find each of the following in rectangular a+bz form if z=2-3t ; if z=x+yz.

zz.

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.

(2-3i)4.

For each of the following numbers, first visualize where it is in the complex plane. With a little practice you can quickly findx,y,r,胃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.

(cos蟺-isin蟺).
See all solutions

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