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- StudyBlue
- Australia
- University of Technology, Sydney
- Mathematics
- Mathematics 33360
- Various
- Review Of Complex Algebra

Jacqui D.

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21
Multivariable Calculus: Concepts and Contexts (Stewart's Calculus Series)

i = ?

√(-1)

A complex number is an expression of what form?

a + bi

What is the complex conjugate of x + iy?

x - iy

(a + bi)(x + yi) = ?

(ax - by) + (bx + ay)i

(a + bi)/(c + di) = ?

(ac + bd)/(c^{2} - d^{2})

+ (bc - ad) / (c^{2} - d^{2})i

+ (bc - ad) / (c

3 + 2i

The modulus ιzι of a complex number...

What is the polar representation of a complex number?

f(x) = e^{x} has the property such that f(x + y) = ?

Is the complex function periodic?

State Euler's formula

Write z = 2 + 2√3 i in polar form

Write z=-3i in polar form

Write z = -√6 - √2 i in polar and exponential form

z

z

z

z

What is De Moivre's Theorem?

Fill in the blanks in terms of De Moivre's theorem:

z^{n} = (r(...?))^{n}

= r^{n}(...)

z

= r

What is the complex exponential expression of De Moivre's theorem?

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