Convert the Following Point from Spherical Coordinates to Cylindrical Coordinates $\left( 7 , \frac { \pi } { 4 } , \frac { 5 \pi } { 6 } \right)$

question 68

Multiple Choice

Convert the following point from spherical coordinates to cylindrical coordinates. $\left( 7 , \frac { \pi } { 4 } , \frac { 5 \pi } { 6 } \right)$

• A) \(\left( \frac { 7 } { 2 } , \frac { \pi } { 4 } , \frac { - 7 \sqrt { 3 } } { 2 } \right)\)
• B) \(\left( \frac { 7 } { 2 } , \frac { \pi } { 4 } , \frac { 7 \sqrt { 3 } } { 2 } \right)\)
• C) \(\left( 7 , \frac { \pi } { 4 } , \frac { - 7 \sqrt { 3 } } { 2 } \right)\)
• D) \(\left( \frac { 7 \sqrt { 3 } } { 2 } , \frac { \pi } { 4 } , \frac { 7 } { 2 } \right)\)
• E) \(\left( \frac { - 7 \sqrt { 3 } } { 2 } , \frac { \pi } { 4 } , \frac { 7 } { 2 } \right)\)

---

Definitions:

Scientific Test

A methodical procedure carried out with the aim of verifying, falsifying, or establishing the validity of a hypothesis.

Telepathy

The supposed communication of thoughts or ideas through means other than the known senses, considered pseudoscience by mainstream science.

Extrasensory

Pertaining to perception or communication outside of the normal sensory processes, often referred to as ESP or sixth sense.

Perception

The process by which individuals interpret and organize sensory information to produce a meaningful experience of the world.