A Direction Field Is Given Below $\frac { d y } { d x } = \sin x$

question 132

Multiple Choice

A direction field is given below. Which of the following represents its differential equation?

• A) \(\frac { d y } { d x } = \sin x\)
• B) \(\frac { d y } { d x } = - y\)
• C) \(\frac { d y } { d x } = y - \frac { 1 } { 2 } y ^ { 2 }\)
• D) \(\frac { d y } { d x } = x + y\)
• E) \(\frac { d y } { d x } = x ^ { 2 }\)
• F) \(\frac { d y } { d x } = 1\)
• G) \(\frac { d y } { d x } = y ^ { 2 }\)
• H) \(\frac { d y } { d x } = x ^ { 2 } + y ^ { 2 }\)

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Definitions:

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A notable geographical location, historically significant due to military engagements, such as those during the Spanish-American War.

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26th President of the United States, noted for his exuberant personality, range of interests and achievements, and his leadership of the Progressive Movement.

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A conflict between the United States and Spain in 1898, resulting in the U.S. gaining territories in the western Pacific and Latin America.

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