Solve Apps: Graphs of Polar Equations
-The Wind Is Blowing $120 ^ { \circ } ; 3$

question 102

Multiple Choice

Solve Apps: Graphs of Polar Equations
-The wind is blowing at 10 knots. Sailboat racers look for a sailing angle to the 10-knot wind that produces maximum sailing speed. This situation is now represented by the polar graph in the figure shown below. Each point (r, θ) on the graph gives the sailing speed, r, in knots, at an angle θ to the 10-knot wind. What angle to the wind produces the maximum sailing speed? What is the speed to the nearest knot, of the sailboat sailing at 30° angle to the wind?

• A) \(120 ^ { \circ } ; 3\) knots
• B) \(30 ^ { \circ } ; 3\) knots
• C) \(120 ^ { \circ } ; 8\) knots
• D) \(30 ^ { \circ } ; 5\) knots

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Definitions:

Natural Monopoly

A market structure where a single firm can provide a good or service at a lower cost than any potential competitors, usually due to economies of scale.

Standard Product

A product that is uniform in quality and specifications, produced in large quantities, and often interchangeable with similar products from other manufacturers.

Highest Price

The maximum price at which a good, service, or asset is sold in the market, often influenced by factors such as scarcity, demand, and quality.

Pure Monopolist

An entity that is the sole provider of a particular product or service in a market, without any competitors, effectively controlling the market.