Line integrals of vector fields in the plane Given the

Chapter 13, Problem 33E

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QUESTION:

Given the following vector fields and oriented curves C, evaluate \(\int_{C} \mathbf{F} \cdot \mathbf{T} d s\).

\(\mathbf{F}=\langle x, y\rangle\) on the parabola \(\mathbf{r}(t)=\left\langle 4 t, t^{2}\right\rangle\), for \(0 \leq t \leq 1\)

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QUESTION:

Given the following vector fields and oriented curves C, evaluate \(\int_{C} \mathbf{F} \cdot \mathbf{T} d s\).

\(\mathbf{F}=\langle x, y\rangle\) on the parabola \(\mathbf{r}(t)=\left\langle 4 t, t^{2}\right\rangle\), for \(0 \leq t \leq 1\)

ANSWER:

Solution 33E

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