Find Powers of Complex Numbers in Polar Form
- $\left[ 10 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 3 }$

question 7

Multiple Choice

Find Powers of Complex Numbers in Polar Form
- $\left[ 10 \left( \cos \frac { 3 \pi } { 4 } + i \sin \frac { 3 \pi } { 4 } \right) \right] ^ { 3 }$

• A) \(- 500 \sqrt { 2 } + 500 \sqrt { 2 } \mathrm { i }\)
• B) \(50 \sqrt { 2 } + 50 \sqrt { 2 } \mathrm { i }\)
• C) \(15 \sqrt { 2 } + 15 \sqrt { 2 } \mathrm { i }\)
• D) \(5 \sqrt { 2 } + 5 \sqrt { 2 } \mathrm { i }\)

Appreciate the balance between the freedom of contract and legal constraints.

Understand the principle of promissory estoppel and its relationship with the concept of consideration in contract law.

Analyze the limitations and conditions under which promissory estoppel is available as a defence or claim in contract disputes.

Apply the concept of promissory estoppel to real-life contractual disputes and assess the potential outcomes.

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Definitions:

Hormones

Chemical substances produced by glands in the body that regulate the activity of cells or organs, essential for every activity of life.

Endocrine Glands

Glands that secrete hormones directly into the bloodstream, regulating processes like growth, metabolism, and mood.

Hormones

Chemical messengers produced by the endocrine glands that regulate various bodily functions by traveling through the bloodstream to tissues or organs.

Bloodstream

is the system of blood vessels within an organism through which the blood circulates, carrying oxygen, nutrients, and waste products to and from various tissues.