Multivariable Calculus Quiz
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VECTOR FIELDS
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Suppose F\mathbf{F} is a vector field such that ∫CF⋅dr=5\int_C \mathbf{F} \cdot d\mathbf{r} = 5 where CC is the path from (0,0)(0,0) to (2,1)(2,1) along the curve y=x24y = \frac{x^2}{4}, and ∫DF⋅dr=3\int_D \mathbf{F} \cdot d\mathbf{r} = 3 where DD is the straight line from (0,0)(0,0) to (2,1)(2,1). What can you conclude about F\mathbf{F}?
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