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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

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

Multiple Choice

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

Correct Answer:
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