Solve the Differential Equation $y ^ { t } = x e ^ { - \sin x } - y \cos x$

question 32

Multiple Choice

Solve the differential equation. $y ^ { t } = x e ^ { - \sin x } - y \cos x$

• A) \(y = \left( \frac { 1 } { 2 } x ^ { 2 } + C \right) e ^ { - \sin x }\)
• B)\(y = \frac { 1 } { 2 } x + C e ^ { - \cos x }\)
• C) \(y = C e ^ { - s i n } x\)
• D) \(y = e ^ { - \sin x } + C x\)
• E) \(y = \left( 2 x ^ { 2 } + C \right) e ^ { - r } \sin x\)

Understand the distinction between parameters and statistics.

Describe the process and importance of stratified sampling in research.

Explain the significance of random assignment in experimental design.

Understand the concept of binomial probability and its approximation by the normal distribution.

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Definitions:

Variable Input

Inputs or resources whose quantity can be changed in the short run to increase or decrease production.

Wage Rate

The standard amount of pay given for work performed, often expressed as an amount per hour, day, or other unit of time.

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The process or strategy of adjusting production and sales to achieve the highest possible profit under given market conditions.

Product Price

The monetary cost consumers are required to pay to acquire a good or service.