Let $\mathbf { F } = \nabla f ,$ Where $f ( x , y ) = \sin ( x - 8 y )$

question 37

Multiple Choice

Let $\mathbf { F } = \nabla f ,$ where $f ( x , y ) = \sin ( x - 8 y )$ . Which of the following equations does the line segment from $( 0,0 )$ to $( 0 , \pi )$ satisy?

• A) \(\int _ { C } \mathbf { F } \cdot d \mathbf { r } = 0\)
• B) \(\int _ { C } \mathbf { F } \cdot d \mathbf { r } = 1\)
• C) none of these

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Definitions:

Cochlear Nerve

The nerve that transmits auditory information from the cochlea in the inner ear to the brain.

Nystagmus

Involuntary, rapid, and repetitive movement of the eyes, which can be horizontal, vertical, or rotary, and may indicate underlying neurological problems.

Rotational Movements

Movements around an axis, such as turning the head from side to side or rotating an arm at the shoulder.

Horizontal Acceleration

Acceleration of an object in a direction parallel to the earth’s surface.