Solve the Problem $\mathrm { r } ^ { 2 } = \mathrm { k } \cos 2 \theta$

question 65

Multiple Choice

Solve the problem.
-Suppose that a radio signal transmission pattern can be modeled by $\mathrm { r } ^ { 2 } = \mathrm { k } \cos 2 \theta$ , for $0 ^ { \circ } \leq \theta \leq 360 ^ { \circ }$ , where the units are in miles. Describe the influence of $k$ on the pattern. Assume that the positive $x$ -axis points east.

• A) With increasing \(k\), the transmission becomes more strongly directed toward the north and less strongly directed to the east.
• B) With increasing \(\mathrm { k }\), the distance of transmission becomes smaller in the east and west directions.
• C) With increasing \(k\), the distance of transmission becomes greater in the east and west directions.
• D) With increasing \(\mathrm { k }\), the transmission becomes more strongly directed toward the east and less strongly directed to the west.

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Definitions:

Right Lymphatic Duct

A major lymphatic vessel that drains lymph from the right upper limb, right side of the thorax, and the right halves of the head and neck into the bloodstream.

Thoracic Duct

The largest lymphatic vessel in the human body, which drains lymph into the bloodstream from the lower and left side of the body.

Lumbar Trunk

A term typically used to describe the part of the body that includes the lower spine and surrounding region.

Lymph Follicles

Small, organized centers found within lymphoid tissues that contain densely packed lymphocytes, involved in immune responses.