Complex Numbers

Dividing Complex Numbers

100

3 / (4 + 6i)

(6 - 9i) / 26

200

9i / (-8 - 10i)

( -5 -4i) / 2

300

(3 + 6i) / (4 - 2i)

3i / 2

400

(8 - 5i) / (-7 - 4i)

(-36 + 67i) / 65

500

(10 - 9i) / (-7 + 10i)

(-160 - 37i) / 149

Modulus

100

Find the modulus of: 2 + 3i

√13

200

Find the modulus of: 6 - 8i

10

300

Find the modulus of: -11 - 18i

√445

400

Find the modulus of: √16 + 18i

√340

500

Find the modulus of: √17 + √19i

6

Arguments

100

When converted into polar form, what would be the argument of: 4 + 6i

56 degrees

200

When converted into polar form, what would be the argument of: - 5 + 8i

122 degrees

300

When converted into polar form, what would be the argument of: -√3 - 2i

229 degrees

400

When converted into polar form, what would be the argument of: 9 - 10i

312 degrees or -48 degrees

500

When converted into polar form, what would be the argument of: -8 + 6i

143 degrees

DeMoivre's Theorem

100

Evaluate: (2 + 3i)³

-46 + 9.87i

200

(4 - 2i)³

14.24 - 88.11i

300

Evaluate: (-5 + 3i)⁴

-647.36 - 959.48i

400

Evaluate: (6 + 3i)⁴

-627.75 + 1923.75i

500

Evaluate: (3 + 2i)⁵

-596.82 + 103.53i

Potpourri

100

What is the total number of Test Points that were possible to earn for 1st semester?

600

200

How many Classwork assignments have we worked on SO FAR in first semester?

32

300

What is the total number of chapters we have studied in our Larsen Precalculus textbook so far this year?

3

400

What is the total number of years Mr. Kress has taught at St. Luke's?

40

500

What is the significance of CALQL8?

It's the license plate of Mr. Kress' truck.