Write the Complex Number in Polar Form $$- 4 + 4 \mathrm { i }$$

question 159

Multiple Choice

Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.
- $$- 4 + 4 \mathrm { i }$$

• A) \(4 \sqrt { 2 } \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right)\)
• B) \(4 \sqrt { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)\)
• C) \(16 \left( \cos 135 ^ { \circ } + \mathrm { i } \sin 135 ^ { \circ } \right)\)
• D) \(16 \left( \cos 120 ^ { \circ } + \mathrm { i } \sin 120 ^ { \circ } \right)\)

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Definitions:

Production Possibility Frontier

A curve depicting the maximum attainable combinations of two products that may be produced with available resources and current technology.

Inefficiency

A situation where resources are not used in the best possible way, often leading to waste and a lower output than could be achieved.

Trade

The exchange of goods, services, or both between two or more parties.

Factors of Production

The assets employed to produce goods and services, encompassing land, labor, capital, and entrepreneurship.