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Chapter 2: Q33P (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.

253+4i.

Short Answer

Expert verified

The absolute value is z=5.

Step by step solution

01

Given Information

The complex number is 253+4i.

02

Absolute value of the Complex number

Let z be a complex number consisting of two real numbers as:

z=x+ty

Here x and y are the real numbers.

The absolute value of z can be calculated as:

|z|=x2+y2

03

Find the value

The complex number is 253+4i.

The absolute value can be calculated as below:

z=253+4i=2529+16=255z=5

Thus, the final answer is obtained as:z=5.

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Most popular questions from this chapter

Find the power series for excosxand for exsinxfrom the series for ezin the following way: Write the series for ez; put z=x+iy. Show that ez=ex(cosy+isiny); take real and imaginary parts of the equation, and put y=x.

Solve for all possible values of the real numbers xand yin the following equations.

x+iy=y+ix

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.

(1+i1-i)5

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

Solve for all possible values of the real numbers x and y in the following equations.|x+iy|=y-ix. .

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