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Biblioteka

Complex Numbers

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Posljednje ažuriranje over 7 years ago
22 questions
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Pitanje 1
1.

Given the general form of a complex number, a+bi, (1) what is considered the real part of the complex number and (2) what is considered the imaginary part?

Pitanje 2
2.

Given 3+4i, (1) what is the real part and (2) what is the imaginary part of the complex number?

Pitanje 3
3.

Given 5+34i, (1) what is the imaginary part and (2) what is the real part of the complex number?

Pitanje 4
4.

Given 15+i, (1) what is the real part and (2) what is the imaginary part of the complex number?

Pitanje 5
5.

i²=

Pitanje 6
6.

i³=

Pitanje 7
7.

i4=

Pitanje 8
8.

i5=

Pitanje 9
9.

Simplify 4i2+2i+13.

Pitanje 10
10.

Explain your process in simplifying the expression in Question 9.

Pitanje 11
11.

Multiply (2+3i)(4+6i) and show the product in simpliest form.

Pitanje 12
12.

Explain your process in multiplying and reducing in Question 11.

Pitanje 13
13.

Multiply the two complex numbers (2-5i2)(7+3i) and show the product in simpliest form.

Pitanje 14
14.

The conjugate of 5+8i is 5+8i.

Pitanje 15
15.

The conjugate of a complex number involves the same real and imaginary part but changes the sign between them.

Pitanje 16
16.

These two complex numbers are conjugates: (3+8i) and (3-8i).

Pitanje 17
17.

The conjugate of 1+6i is 6+1i.

Pitanje 18
18.

The conjugate of 4+i is _______.

Pitanje 19
19.

What is the modulus if z= 7+9i. (Reduce to the simplest form)

Pitanje 20
20.

Explain what steps you went through in Question 19 to find the modulus.

Pitanje 21
21.

Use what we know about conjugates to simplify the following: (1+4i)/(9-5i)

Pitanje 22
22.

Explain how you simplified the expression in Question 21.