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:

Valence

In psychology, the extent to which a person values the expected outcome of an action; in chemistry, the combining power of an element.

Expectancy

The anticipated outcome or occurrence of an event, often used in the context of probability or investment returns.

Imputed Interest

The interest rate that is considered or assumed in the calculation of the cost of a decision, not explicitly paid.

Residual Income

The amount of income that an individual has after all personal debts and expenses have been paid from his or her earnings.