Write the Word or Phrase That Best Completes Each Statement $\mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta$

question 228

Essay

Write the word or phrase that best completes each statement or answers the question.
-The strength S of a wooden beam with rectangular cross section is given by the formula $\mathrm { S } = \mathrm { kd } ^ { 3 } \sin ^ { 2 } \theta \cos \theta$ where d is the diagonal length, θ the angle illustrated, and k is a constant that varies with the type of wood used. Let d = 1 and express the strength S in terms of the constant k for θ = 45°, 50°, 55°, 60°, and 65°. Does the strength
always increase as θ gets larger?

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Definitions:

Elastic Segment

refers to a section of the demand curve where consumers are relatively responsive to price changes, indicating that the price elasticity of demand is greater than one.

Total Revenue

The overall amount of money generated by a firm from its sales activities, calculated as the unit price times the quantity of goods sold.

Natural Monopolies

Industries where a single firm can supply a product or service to an entire market at a lower cost than any potential competitor, often due to economies of scale.

Extensive Economies of Scale

Refers to reductions in per-unit cost as the size of a firm or its level of production increases.