A potential function of a vector field F is given by $A potential function of a vector field F is given by , where (r , θ) are the polar coordinates and C is an arbitrary constant. Find F. Hint: The gradient of g(r , θ) is given by ∇g(r , θ) = . A) r sin(2 \theta ) + r cos(2 \theta ) B) r sin(2 \theta ) + r cos(2 \theta ) C) r sin(2 \theta ) - r cos(2 \theta ) D) r sin(2 \theta ) + r cos(2 \theta ) E) r sin(2 \theta ) - r cos(2 \theta )$ , where (r , θ) are the polar coordinates and C is an arbitrary constant. Find F.
Hint: The gradient of g(r , θ) is given by ∇g(r , θ) = $A potential function of a vector field F is given by , where (r , θ) are the polar coordinates and C is an arbitrary constant. Find F. Hint: The gradient of g(r , θ) is given by ∇g(r , θ) = . A) r sin(2 \theta ) + r cos(2 \theta ) B) r sin(2 \theta ) + r cos(2 \theta ) C) r sin(2 \theta ) - r cos(2 \theta ) D) r sin(2 \theta ) + r cos(2 \theta ) E) r sin(2 \theta ) - r cos(2 \theta )$ .

A) r sin(2

\theta

) + r cos(2

\theta

)
B) r sin(2

\theta

\theta

\theta

\theta

\theta

) $A potential function of a vector field F is given by , where (r , θ) are the polar coordinates and C is an arbitrary constant. Find F. Hint: The gradient of g(r , θ) is given by ∇g(r , θ) = . A) r sin(2 \theta ) + r cos(2 \theta ) B) r sin(2 \theta ) + r cos(2 \theta ) C) r sin(2 \theta ) - r cos(2 \theta ) D) r sin(2 \theta ) + r cos(2 \theta ) E) r sin(2 \theta ) - r cos(2 \theta )$ + $A potential function of a vector field F is given by , where (r , θ) are the polar coordinates and C is an arbitrary constant. Find F. Hint: The gradient of g(r , θ) is given by ∇g(r , θ) = . A) r sin(2 \theta ) + r cos(2 \theta ) B) r sin(2 \theta ) + r cos(2 \theta ) C) r sin(2 \theta ) - r cos(2 \theta ) D) r sin(2 \theta ) + r cos(2 \theta ) E) r sin(2 \theta ) - r cos(2 \theta )$ r cos(2

\theta

\theta

) - r cos(2

\theta

)

Evaluate the Integral Ds Once Around the Square C

Multiple Choice

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