Get answer: Evaluating a Line Integral of a Vector Field In Exercises 2732, evaluate
Chapter 15, Problem 31(choose chapter or problem)
In Exercises 27 - 32, evaluate
\(\int_{C} \mathbf{F} \cdot d \mathbf{r}\)
where C is represented by r(t).
\(\mathbf{F}(x, y, z)=x y \mathbf{i}+x z \mathbf{j}+y z \mathbf{k}\)
\(C: \mathbf{r}(t)=t \mathbf{i}+t^{2} \mathbf{j}+2 t \mathbf{k}, \quad 0 \leq t \leq 1\)
Text Transcription:
int_{C} F cdot dr
F(x, y, z) = xyi + xzj + yzk
C: r(t) = ti + t^{2}j + 2tk, 0 leq t leq 1
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