Given That the Polar Equation R Models the Orbits of the Planets

question 423

Multiple Choice

Given that the polar equation r models the orbits of the planets about the sun,
-Suppose that a radio signal transmission pattern can be modeled by $$\mathrm { r } ^ { 2 } = \mathrm { k } \cos 2 \theta \text {, for } 0 ^ { \circ } \leq \theta \leq 360 ^ { \circ } ,$$ 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 distance of transmission becomes smaller in the east and west directions.
• B) With increasing k, the transmission becomes more strongly directed toward the east and less strongly directed to the west.
• C) With increasing k, the distance of transmission becomes greater in the east and west directions.
• D) With increasing k, the transmission becomes more strongly directed toward the north and less strongly directed to the east.

---

Definitions:

Academic Publishing

The process of publishing scholarly work, including journal articles, books, and conference proceedings, for the academic and research community.

Relevance

The extent to which something is relevant or applicable to the current subject.

Quality

The degree of excellence of something as measured against other similar things; the standard of something as determined by its effectiveness, efficiency, and satisfaction to users.

Boolean Operators

Logical connectors (AND, OR, NOT) used in search engines and databases to refine and combine search terms.