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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