Solve the Problem $\left( 4 , \frac { \pi } { 6 } \right)$

question 135

Essay

Solve the problem.
-Plot the point $\left( 4 , \frac { \pi } { 6 } \right)$ and find other polar coordinates $( r , \theta )$ of the point for which:
(a) $\mathrm { r } > 0 , \quad - 2 \pi \leq \theta < 0$
(b) $\mathrm { r } < 0 , \quad 0 \leq \theta < 2 \pi$
(c) $\mathrm { r } > 0 \quad 2 \pi \leq \theta < 4 \pi$

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Definitions:

Flatworm

A type of simple, soft-bodied invertebrate animal that is a member of the phylum Platyhelminthes, which includes planarians, flukes, and tapeworms.

Tapeworm

A parasitic flatworm that lives in the digestive tract of vertebrates as adults, often causing health issues such as weight loss or nutrient deficiencies.

Hookworm

A parasitic nematode that lives in the small intestine of its host, which can be humans, and causes anemia and malnutrition through blood loss.

Trichinosis

Infection caused by the roundworm Trichinella spiralis.