Solution: Line integrals of vector fields in the plane Given

Chapter 13, Problem 36E

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QUESTION:

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

\(\mathbf{F}=\frac{\langle x, y\rangle}{\left(x^{2}+y^{2}\right)^{3 / 2}}\) on the line segment from (2, 2) to (10, 10)

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QUESTION:

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

\(\mathbf{F}=\frac{\langle x, y\rangle}{\left(x^{2}+y^{2}\right)^{3 / 2}}\) on the line segment from (2, 2) to (10, 10)

ANSWER:

Step 1 of 6

Given

           

Parametric description of the line segment from (2, 2) to (10, 10) is

 varies from

 

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