Solve the Problem Find $\frac { z } { w }$

question 24

Multiple Choice

Solve the problem. Leave your answer in polar form.
- $$\begin{array} { l } \mathrm { z } = \sqrt { 3 } \left( \cos \frac { 7 \pi } { 4 } + \mathrm { i } \sin \frac { 7 \pi } { 4 } \right) \\\mathrm { W } = \sqrt { 6 } \left( \cos \frac { 9 \pi } { 4 } + \mathrm { i } \sin \frac { 9 \pi } { 4 } \right) \end{array}$$
Find $\frac { z } { w }$ .

• A) \(3 \sqrt { 2 } \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)
• B) \(\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)
• C) \(\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)\)
• D) \(3 \sqrt { 2 } \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)\)

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Definitions:

Posttranslational Regulation Mechanism

Processes that modify a protein's function after it has been synthesized, impacting its activity, localization, or stability.

Proteolytic Processing

The enzymatic cleavage of protein precursors to form their active or mature states, a critical process in cellular regulation.

Chemical Modification

The alteration of a chemical compound's structure to change its properties or activity, often used in pharmaceuticals and materials science.

Protein Degradation

The process by which proteins are broken down into their amino acid components, often regulated by cellular mechanisms for metabolism and homeostasis.