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Chapter 1: Q5P (page 1)

First simplify each of the following numbers to the x+iyform or to the role="math" localid="1664176115173" re颈胃form. Then plot the number in the complex plane.

(i+3)2

.

Short Answer

Expert verified

The complex number is i+32 .

Step by step solution

01

Given Information

The complex number isi+32 .

02

Definition of the Complex number

A complex number is a number that is made up of both real and imaginary numbers.

03

Find the value

Factorize the complex number.

(i+3)2=i2+23i+32=-1+3+12i=2+12i

Hence, the complex number is 2+12i.

The graph is mentioned below.

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Most popular questions from this chapter

Use Maclaurin series to evaluate each of the following. Although you could do them by computer, you can probably do them in your head faster than you can type them into the computer. So use these to practice quick and skillful use of basic series to make simple calculations.

limx鈫�0In(1-x)x .

f(x)=sin鈥�x,鈥�a=蟺/2

Test the following series for convergence

鈭�n-1鈭�(-1)nnn+5

The series 鈭�n-1鈭�1/ns,s>1,is called the Riemann Zeta function,味(s). (In Problem14.2(a)you found味(2)=蟺26. Whennis an even integer, these series can be summed exactly in terms of蟺.) By computer or tables, find

(a)味(4)=鈭�n=1鈭�1n4(b)味(3)=鈭�n=1鈭�1n3(c)味(32)=鈭�n=1鈭�1n3/2

f(x)=鈭�x,a=25.
See all solutions

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