Solved: Demonstrate a Property In Exercises 4750, demonstrate the property that
Chapter 15, Problem 48(choose chapter or problem)
In Exercises 47 - 50, demonstrate the property that
\(\int_{C} \mathbf{F} \cdot d \mathbf{r}=0\)
regardless of the initial and terminal points of C, where the tangent vector r ‘(t) is orthogonal to the force field F.
\(\mathbf{F}(x, y)=-3 y \mathbf{i}+x \mathbf{j}\)
\(C: \mathbf{r}(t)=t \mathbf{i}-t^{3} \mathbf{j}\)
Text Transcription:
int_{C} F cdot dr = 0
F(x, y) = -3yi + xj
C: r(t) = ti - t^{3}j
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